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For the following probability distribution The mean is___. The variance is ___.

ID: 3182176 • Letter: F

Question

For the following probability distribution The mean is___. The variance is ___. The standard deviation is___. The Shape of probability distribution is___. a. A researcher is studying the behavior of buyers. There were 20 purchases and the probability of purchase is 0.5. What is the standard deviation of the number of purchases? b. Based on the shape of the distribution, approximately 95% of the purchases should be between ___and___. A manager observes a checkout line at a WalMart store. She finds that the average number of people served is 20 per hour. a. what is the probability that no people check out in any given hour? b. what is the probability that 10 people check out in any given hour? c. what is the probability that at least 3 people check out in any given hour? d. what is the probability that less than 5 people check out in any given hour e. what is the standard deviation of the number of people served in an hour?

Explanation / Answer

10. Mean==xp(x)=10*0.2+11*0.2+12*0.2+13*0.2+14*0.2=12

Variance=^2=x^2p(x)2

x2p(x)=10^21/5+11^21/5^+12^21/5+13^21/5+14^21/5=146

So Variance=146-12^2=2

Standard Variance=sqrt(2)=1.4142

Mean=np=60*0.2=12

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