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##### MATH302 -Midterm Exam

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Question;1.0 Points;Question 1 of 25 1.0/;1.0 Points;A population includes;A.all objects of interest in a particular;study;B.only households;C.only people;D.only machines;Part 2 of 9 - 1.0/;2.0 Points;Question 2 of 25 1.0/;1.0 Points;The probability of an event and the probability of its;complement always sum to;A.any value between 0 and 1;B.1.0;C.0;D.any positive value;Question 3 of 25 0.0/;1.0 Points;If A and B are mutually exclusive events with P(A) = 0.70;then P(B);A.can be any value between 0 and 0.70;B.cannot be determined with the information;given;C.can be any value between 0 and 1;D.cannot be larger than 0.30;Part 3 of 9 - 3.0/;3.0 Points;Question 4 of 25 1.0/;1.0 Points;A die is rolled 360 times. Find the standard deviation for;the number of 3s that will be rolled.;A.60;B.50;C.7.1;D.5.9;Question 5 of 25 1.0/;1.0 Points;If a student randomly guesses at 20 multiple-choice;questions, find the probability that the student gets exactly four correct.;Each question has four possible choices.;A.0.19;B.0.17;C.0.08;D.0.23;Find the variance of the following probability distribution.;X P(X);1 0.10;2 0.35;3 0.10;4 0.15;5 0.30;A.1.44;B.2.06;C.1.76;D.1.2;Question 7 of 25 1.0/;1.0 Points;The continuous distribution characterized by a symmetric;bell-shaped curve is the;A.Poisson distribution;B.binomial distribution;C.exponential distribution;D.normal distribution;Question 8 of 25 1.0/;1.0 Points;The average height of flowering cherry trees in a nursery is;11 feet. If the heights are normally distributed with a standard deviation of;1.6, find the probability that a randomly selected cherry tree in this nursery;is less than 13 feet tall.;A. 0.67;B.0.89;C.0.95;D.0.11;Question 9 of 25 1.0/;1.0 Points;The standard deviation of a probability distribution must;be;A.a negative number;B.a number between 0 and 1;C.a nonnegative number;D.less than the value of the mean;Question 10 of 25 1.0/;1.0 Points;In a normal distribution, changing the standard deviation;A.splits the distribution to two curves;B.shifts the curve left or right;C.makes the curve more or less spread out;D.makes the curve more robust;Question 11 of 25 1.0/;1.0 Points;If the value of the standard normal random variable Z is;positive, then the original score is where in relationship to the mean?;A.one standard deviation higher than the mean;B.equal to the mean;C.to the left of the mean;D.to the right of the mean;Question 12 of 25 1.0/;1.0 Points;The standard normal distribution has a mean of ___ and;standard deviation of ___, respectively.;A.1 and 1;B.1 and 0;C.0 and 1;D.0 and 0;Part 5 of 9 - 1.0/;1.0 Points;Question 13 of 25 1.0/;1.0 Points;Accepted characters: numbers, decimal point markers (period;or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000);E" or "e" (used in scientific notation). NOTE: For;scientific notation, a period MUST be used as the decimal point marker.;Complex numbers should be in the form (a + bi) where;a" and "b" need to have explicitly stated values.;For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is;valid whereas {9i} is not.;The following data represent the number of children in a;sample of 10 families from Chicago: 4, 2, 1, 1, 5, 3, 0, 1, 0, and 2.;Compute the median number of children. Place your answer;rounded to two decimal places, in the blank. For example, 3.45 would be a;legitimate entry. 1.5;Part 6 of 9 - 0.0/;2.0 Points;Question 14 of 25 0.0/;1.0 Points;Accepted characters: numbers, decimal point markers (period;or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000);E" or "e" (used in scientific notation). NOTE: For;scientific notation, a period MUST be used as the decimal point marker.;Complex numbers should be in the form (a + bi) where;a" and "b" need to have explicitly stated values.;For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is;valid whereas {9i} is not.;In February 2002 the Argentine peso lost 70% of its value;compared to the United States dollar. This devaluation drastically raised the;price of imported products. According to a survey conducted by AC Nielsen in;April 2002, 68% of the consumers in Argentina were buying fewer products than;before the devaluation, 24% were buying the same number of products, and 8%;were buying more products. Furthermore, in a trend toward purchasing;less-expensive brands, 88% indicated that they had changed the brands they;purchased. Suppose the following complete set of results were reported. Use the;following data to answer this question.;Number of Products Purchased;Brands Purchased Fewer Same More Total;Same 10 14 24 48;Changed 262 82 8 352;Total 272 96 32 400;Given that a consumer changed brands, what then is the;probability that the consumer purchased fewer products than before? Place your;answer, rounded to 4 decimal places, in the blank. 0.1165;Question 15 of 25 0.0/;1.0 Points;Accepted characters: numbers, decimal point markers (period;or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000);E" or "e" (used in scientific notation). NOTE: For;scientific notation, a period MUST be used as the decimal point marker.;Complex numbers should be in the form (a + bi) where;a" and "b" need to have explicitly stated values.;For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is;valid whereas {9i} is not.;The following data were obtained from a survey of college;students. The variable X represents the number of non-assigned books read;during the past six months.;x 0 1 2 3 4 5 6;P (X=x) 0.55 0.15 0.10 0.10 0.04 0.03 0.03;What is the standard deviation of X? Place your answer, rounded to two decimal;places in the blank. For example, 4.56 would be a legitimate entry. 2.62;Part 7 of 9 - 1.0/;2.0 Points;Question 16 of 25 1.0/;1.0 Points;Accepted characters: numbers, decimal point markers (period;or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000);E" or "e" (used in scientific notation). NOTE: For;scientific notation, a period MUST be used as the decimal point marker.;Complex numbers should be in the form (a + bi) where;a" and "b" need to have explicitly stated values.;For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is;valid whereas {9i} is not.;A jar contains four white marbles, five red marbles, and six;black marbles. If a marble was selected at random, find the probability that it;is white or black. Place your answer, rounded to 2 decimal places in the blank.;For example 0.23 would be a legitimate entry.;0.67;Complex numbers should be in the form (a + bi) where;a" and "b" need to have explicitly stated values.;For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is;valid whereas {9i} is not.;An urn contains 12 balls identical in every respect except;their color. There are 3 red balls, 7 green balls, and 2 blue balls. You draw;two balls from the urn, but replace the first ball before drawing the second.;Find the probability that the first ball drawn is red and the second ball drawn;is green. Place your answer, rounded to 4 decimal places, in the blank. For;example, 0.4567 would be a legitimate entry.;0.1591;Part 8 of 9 - 6.0/;6.0 Points;Question 18 of 25 1.0/;1.0 Points;Accepted characters: numbers, decimal point markers (period;or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000);E" or "e" (used in scientific notation). NOTE: For;scientific notation, a period MUST be used as the decimal point marker.;Complex numbers should be in the form (a + bi) where;a" and "b" need to have explicitly stated values.;For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is;valid whereas {9i} is not.;Suppose that the average weekly earnings for employees in;general automotive repair shops is $450, and that the standard deviation for;the weekly earnings for such employees is $50. A sample of 100 such employees;is selected at random.;Find the mean of the sampling distribution of the means of;average weekly earnings for samples of size 100. Place your answer in the;blank. Do not include a dollar sign. For example, 123 would be a legitimate;entry. 450;Question 19 of 25 1.0/;1.0 Points;Accepted characters: numbers, decimal point markers (period;or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000);E" or "e" (used in scientific notation). NOTE: For;scientific notation, a period MUST be used as the decimal point marker.;Complex numbers should be in the form (a + bi) where;a" and "b" need to have explicitly stated values.;For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is;valid whereas {9i} is not.;A Wendy?s fast-food restaurant sells hamburgers and chicken;sandwiches. On a typical weekday, the demand for hamburgers is normally;distributed with a mean of 450 and standard deviation of 80 and the demand for;chicken sandwiches is normally distributed with a mean of 120 and standard;deviation of 30.;How many hamburgers must the restaurant stock to be 99% sure;of not running out on a given day? Place you answer, rounded to the nearest;whole number in the blank. For example, 345 would be a legitimate entry. 636;Question 20 of 25 1.0/;1.0 Points;Accepted characters: numbers, decimal point markers (period;or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000);E" or "e" (used in scientific notation). NOTE: For;scientific notation, a period MUST be used as the decimal point marker.;Complex numbers should be in the form (a + bi) where;a" and "b" need to have explicitly stated values.;For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is;valid whereas {9i} is not.;Scores on a mathematics examination appear to follow a;normal distribution with mean of 65 and standard deviation of 15. The;instructor wishes to give a grade of ?C? to students scoring between the 60th;and 70th percentiles on the exam.;What score represents the 60th percentile score on the;mathematics exam? Place your answer in the blank, rounded to a whole number.;For example, 62 would be a legitimate entry.;69;Question 21 of 25 1.0/;1.0 Points;Accepted characters: numbers, decimal point markers (period;or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000);E" or "e" (used in scientific notation). NOTE: For;scientific notation, a period MUST be used as the decimal point marker.;Complex numbers should be in the form (a + bi) where;a" and "b" need to have explicitly stated values.;For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is;valid whereas {9i} is not.;Suppose that the average weekly earnings for employees in;general automotive repair shops is $450, and that the standard deviation for;the weekly earnings for such employees is $50. A sample of 100 such employees;is selected at random.;Find probability that the mean of the sample is less than;$445. Place your answer, rounded to 4 decimal places, in the blank. For;example, 0.2345 would be a legitimate entry.;0.1587;Question 22 of 25 1.0/;1.0 Points;Accepted characters: numbers, decimal point markers (period;or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000);E" or "e" (used in scientific notation). NOTE: For;scientific notation, a period MUST be used as the decimal point marker.;Complex numbers should be in the form (a + bi) where;a" and "b" need to have explicitly stated values.;For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is;valid whereas {9i} is not.;Suppose that the average weekly earnings for employees in;general automotive repair shops is $450, and that the standard deviation for;the weekly earnings for such employees is $50. A sample of 100 such employees;is selected at random.;Find the probability that the mean of the sample is between;$445 and $455. Place your answer, rounded to 4 decimal places, in the blank.;For example, 0.2345 would be a legitimate entry. 0.6827;Question 23 of 25 1.0/;1.0 Points;Accepted characters: numbers, decimal point markers (period;or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000);E" or "e" (used in scientific notation). NOTE: For;scientific notation, a period MUST be used as the decimal point marker.;Complex numbers should be in the form (a + bi) where;a" and "b" need to have explicitly stated values.;For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is;valid whereas {9i} is not.;A set of final exam scores in an organic chemistry course;was found to be normally distributed, with a mean of 73 and a standard;deviation of 8.;What is the probability of getting a score higher than 71 on;this exam? Place your answer, rounded to 4 decimal places in the blank. For;example, 0.3456 would be a legitimate entry.;0.5987;Part 9 of 9 - 2.0/;2.0 Points;Question 24 of 25 1.0/;1.0 Points;A random variable X is standardized when each value of X has;the mean of X subtracted from it, and the difference is divided by the standard;deviation of X.;True;False;Question 25 of 25 1.0/;1.0 Points;Using the standard normal curve, the Z- score representing;the 5th percentile is 1.645.;True;False

Paper#60596 | Written in 18-Jul-2015

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