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Probability and Statistical Analysis: Evaluating Random Variables and Distributions

Study of random variables and statistical distributions.

Amelia Davis
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Probability and Statistical Analysis: Evaluating Random Variables andDistributions1.Suppose that a student needs to buy 10 books for her history course. The number of books that she willbe able to find used is a binomial random variable X with n =10 and p = 0.30. In other words, theprobability that she will find any given book used is 0.30, and is independent from one book to the next.What is the probability that she will findno more than2 used books?A)0.382B)0.256C)0.618D)0.744Feedback:Open Minitab and go to Calc > Probability Distributions > Binomial. Since we wantno morethan2 choose Cumulative Probability and enter 10 for number of trials, 0.3 for Probability of Success,click Input Constant and enter 2. This results in probability of P(X≤2) = 0.382.Points Earned:1.0/1.02.Use software to answer the following: You just found out that you have been kicked out of your apartment(through no fault of your own!) and need to find a new place to live. Suppose monthly rent for anindividual is a normally distributed random variable with a mean of 334 dollars and a standard deviation of22 dollars. What is the probability that you will find an apartment that costsless than300 dollars permonth.A)0.061118B)0.766471C)0.998650D)0.003661E)0.938882F)0.233529G)0.001350H)0.996339Feedback:Go to Calc > Probability Distributions > Normal. Select "Cumulative Probability" and enter 334for the Mean and 22 for the Standard Deviation. Select "Input Constant" and enter 300. Click OK and theanswer is 0.0611182Points Earned:1.0/1.03.

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Statistics

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