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Penny shops online. She returns 60% of all pairs of shoes she purchases this way. There...

Penny shops online. She returns 60% of all pairs of shoes she purchases this way. There is no real pattern so all we can say is that for each pair she buys, there is a 60% chance that she returns it. Suppose she purchases 12 pairs of shoes online in a given week. Let X be the number of these 12 pairs Penny returns. Let p = the probability of Penny returning a pair of shows purchased online.


a.What is the value of p as a decimal?
b. What is the probability that X =12?
c. What is the probability that X < 4?
d. What is the probability that X > 4?
e. What is the expected value of X?
f. What is the expected value of

X2

?
g. What is the standard deviation of X?
h. What is the probability that X is within 1.7 standard deviations of its expected value?
i. What is the expected value of 5.95X?
j. What is the variance of 5.95X?

Math   Statistics-And-Probability   
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