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##### STAT 251G Online class

**Description**

solution

**Question**

Question;STAT;251G;Online;class;Name;Date;1. A couple plans to have 3 children. How many possible outcomes are there? Draw a tree diagram to show the sample;space. What is the probability that they;will have exactly 2 girls and 1 boy?;2. The;number of cartoons watched on Saturday mornings by students in Mrs. Kelly's;first grade class is shown below.;Number of cartoons watched X;0;1;2;3;4;5;Probability P(X);0.15;0.20;0.30;0.10;0.20;0.05;Find the;mean, variance, and standard deviation.;Show the correct formulas and your work.;3 Find the zvalue;to the right of the mean such that 85% of the total area under the standard;normal distribution curve lies to the left of it? Explain how you found your answer.;4. The mean weight of loads of;rock is 43.0 tons with a standard deviation of 10.0 tons. If 25 loads are chosen at random for a weight;check, find the probability that the mean weight of those loads is less than;41.9 tons. Assume that the variable is;normally distributed. Show all work;including your sketch of the normal distribution with the correct area shaded.;5. Mrs. Smith's reading class;can read an average of 175 words per minute with a standard deviation of 20;words per minute. The top 3% of the;class is to receive a special award. What is the minimum number of words per;minute a student would need to read in order to get the award? Assume the data is normally distributed. Show all work.;6. Many statistical methods require that;the distribution of data is approximately normal. Minitab has several;tests that can help determine normality, and Excel uses a normal quantile plot;to determine normality.;Use Minitab or;Excel to determine if the following distribution is normal. Follow the;instructions in the Technology section of 6.2;Enter the data from Page 325;Problem #40 or you can use the data file;Cut and paste your results;into a word document.;7. Game: Roll two dice and record the sum. You must pay $1.00 to play;the game. The payout is as follows;A sum of;2 or 12 $3.00;A sum of;3 or 11 $2.00;A sum of;4 or 10 $1.00;Any;other sum $0.00;Play the game 25 times and use the table to record your;results.;Turn;Sum;Win;Pay;Return;1;3;$2.00;$1.00;$1.00;2;6;$0.00;$1.00;-$1.00;3;9;$0.00;$1.00;-$1.00;4;3;$2.00;$1.00;$1.00;5;11;$2.00;$1.00;$1.00;6;9;$0.00;$1.00;-$1.00;7;6;$0.00;$1.00;-$1.00;8;9;$0.00;$1.00;-$1.00;9;11;$2.00;$1.00;$1.00;10;3;$2.00;$1.00;$1.00;11;12;$3.00;$1.00;$2.00;12;4;$1.00;$1.00;$0.00;13;6;$0.00;$1.00;-$1.00;14;3;$2.00;$1.00;$1.00;15;8;$0.00;$1.00;-$1.00;16;6;$0.00;$1.00;-$1.00;17;9;$0.00;$1.00;-$1.00;18;7;$0.00;$1.00;-$1.00;19;8;$0.00;$1.00;-$1.00;20;3;$2.00;$1.00;$1.00;21;5;$0.00;$1.00;-$1.00;22;6;$0.00;$1.00;-$1.00;23;2;$3.00;$1.00;$2.00;24;2;$3.00;$1.00;$2.00;25;7;$0.00;$1.00;-$1.00;Total;-$1.00;Average;-$0.04

Paper#61302 | Written in 18-Jul-2015

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