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Chapter 4: Q.63 (page 287)
Assume the event occurs independently in any given day. In words, define the random variable X.
Random variabledefines no. of teens who die due to motor vehicle injuries per day.
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On average, Pierre, an amateur chef, drops three pieces of egg shell into every two cake batters he makes. Suppose
that you buy one of his cakes.
a. In words, define the random variable .
b. List the values that may take on.
c. Give the distribution of
d. On average, how many pieces of egg shell do you expect to be in the cake?
e. What is the probability that there will not be any pieces of egg shell in the cake?
f. Let鈥檚 say that you buy one of Pierre鈥檚 cakes each week for six weeks. What is the probability that there will not
be any egg shell in any of the cakes?
g. Based upon the average given for Pierre, is it possible for there to be seven pieces of shell in the cake? Why?
Use the following information to answer the next six exercises: On average, a clothing store gets customers per day.
What values does take on?
What does the column 鈥�鈥� sum to?
Use the following information to answer the next six exercises: A baker is deciding how many batches of muffins to make to
sell in his bakery. He wants to make enough to sell every one and no fewer. Through observation, the baker has established
a probability distribution.
Find the standard deviation.
Find the expected value from the expected value table.
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