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##### APUS Math302-Mid Term -Seffy

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Question;Part 1 of 25APUS Math302-Mid TermQuestion 1 of 251.0 PointsThe total frequency of the data whose ogive is shown below is approximately A.12 B.34 C.90 D.18Reset SelectionPart 2 of 9 -Question 2 of 251.0 PointsThe probability of an event and the probability of its complement always sum to: A.0 B.any positive value C.any value between 0 and 1 D.1.0Reset SelectionQuestion 3 of 251.0 PointsWhat is the probability of drawing two queens in a row from a standard deck of cards without replacement? A.0.0015 B.0.0059 C.0.0045 D.0.0385Reset SelectionPart 3 of 9 -Question 4 of 251.0 PointsThe binomial distribution can occur in which of the following situations? I. whenever we are interested in the number of events that occur over a given interval of time II. whenever we sample from a population with only two types of members III. whenever we perform a sequence of identical experiments, each of which has only two possible outcomes A.I only B.I and II C.II and III D.All of the aboveReset SelectionQuestion 5 of 251.0 PointsSuppose that 50 identical batteries are being tested. After 8 hours of continuous use, assume that a given battery is still operating with a probability of 0.70 and has failed with a probability of 0.30. What is the probability that between 25 and 30 batteries (inclusive) will last at least 8 hours? A.0.0839 B.0.1186 C.0.9169 D.0.7792Reset SelectionQuestion 6 of 251.0 PointsFind the variance of the following probability distribution. XP(X)10.2020.1530.2540.2550.15 A.1.34 B.1.8 C.0.48 D.1.16Reset SelectionPart 4 of 9 -Question 7 of 251.0 PointsIn 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 robust D.makes the curve more or less spread outReset SelectionQuestion 8 of 251.0 PointsThe theorem that states that the sampling distribution of the sample mean is approximately normal when the sample size n is reasonably large is known as the: A.central limit theorem B.simple random sample theorem C.point estimate theorem D.central tendency theoremReset SelectionQuestion 9 of 251.0 PointsGiven that the random variable X is normally distributed with a mean of 80 and a standard deviation of 10, P(85 < X < 90) is A.0.5328 B.0.1498 C.0.1915 D.0.3413Reset SelectionQuestion 10 of 251.0 PointsThe 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.0.11Reset SelectionQuestion 11 of 251.0 PointsGiven that Z is a standard normal variable, the value z for which P(Z 0). Place your answer, rounded to two decimal places in the blank. For example, 0.56 would be a legitimate entry. Part 7 of 9 -Question 16 of 251.0 PointsAccepted 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. An ice cream vendor sells three flavors: chocolate, strawberry, and vanilla. Forty five percent of the sales are chocolate, while 30% are strawberry, with the rest vanilla flavored. Sales are by the cone or the cup. The percentages of cones sales for chocolate, strawberry, and vanilla, are 75%, 60%, and 40%, respectively. For a randomly selected sale, define the following events: = chocolate chosen= strawberry chosen = vanilla chosen = ice cream on a coneice cream in a cupFind the probability that the ice cream was chocolate flavor, given that it was sold on a cone.Placeyour answer, rounded to 4 decimal places, in the blank. For exampe, 0.3456 would be a legitimate entry. Question 17 of 251.0 PointsAccepted 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. At a certain college, there were 600 science majors, 200 engineering majors, and 500 business majors. If a student is selected at random, what is the probability that the student is an engineering major? Place your answer, rounded to four decimal places, in the blank. When entering your answer do not use any labels or symbols other than a decimal point. Simply provide the numerical value. For example, 0.1234 would be a legitimate entry.Part 8 of 9 -Question 18 of 251.0 PointsAccepted 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 average hourly wage of workers at a fast food restaurant is $6.50/hr with a standard deviation of $0.45. Assume that the distribution is normally distributed. If a worker at this fast food restaurant is selected at random, what is the probability that the worker earns more than $6.75? Place your answer, rounded to 4 decimal places, in the blank. For example, 0.1776 would be a legitimate entry. Question 19 of 251.0 PointsAccepted 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 popular retail store knows that the purchase amounts by its customers is a random variable that follows a normal distribution with a mean of $30 and a standard deviation of $9. What is the probability that a randomly selected customer will spend between $20 and $35 at this store? Place your answer, rounded to 4 decimal places, in the blank. For example, 0.3456 would be a legitimate entry.Question 20 of 251.0 PointsAccepted 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 chicken sandwiches 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.Question 21 of 251.0 PointsAccepted 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 length of time to complete a door assembly on an automobile factory assembly line is normally distributed with mean 6.7 minutes and standard deviation 2.2 minutes. For a door selected at random, what is the probability the assembly line time will be between 5 and 10 minutes? Place your answer, rounded to 4 decimal places, in the blank. For example, 0.1776 would be a legitimate answer. Question 22 of 251.0 PointsAccepted 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. Question 23 of 251.0 PointsAccepted 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 of 91 or less on this exam? Place your answer, rounded to 4 decimal places in the blank. For example, 0.3456 would be a legitimate entry. Part 9 of 9 -Question 24 of 251.0 PointsUsing the standard normal curve, the Z- score representing the 75th percentile is approximately 0.674. True FalseReset SelectionQuestion 25 of 251.0 PointsA 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 FalseReset Selection

Paper#60685 | Written in 18-Jul-2015

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