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Chapter 4: Q.60 (page 287)
Use the following information to answer the next six exercises: On average, a clothing store gets customers per day.
What is the probability that the store will have more than customers in the first hour?
The probability of getting quite customers within the first hour at the shop is .
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Complete Table 4.28 using the data provided.
On May 11, 2013 at 9:30 PM, the probability that moderate seismic activity (one moderate earthquake) would occur in the next hours in Japan was about . As in Example , you bet that a moderate earthquake will occur in Japan during this period. If you win the bet, you win . If you lose the bet, you pay. Let X = the amount of profit from a bet. Find the mean and standard deviation of X.
Use the following information to answer the next five exercises: Suppose that a group of statistics students is divided into two groups: business majors and non-business majors. There are business majors in the group and seven non-business majors in the group. A random sample of nine students is taken. We are interested in the number of business majors in the sample.
Identify the mistake in the probability distribution table.
Use the following information to answer the next five exercises: A physics professor wants to know what percent of physics
majors will spend the next several years doing post-graduate research. He has the following probability distribution.
It has been estimated that only about 30% of California residents have adequate earthquake supplies. Suppose we are interested in the number of California residents we must survey until we find a resident who does not have adequate earthquake supplies.
a. In words, define the random variable X.
b. List the values that X may take on.
c. Give the distribution of X. X ~ _____(_____,_____)
d. What is the probability that we must survey just one or two residents until we find a California resident who does not have adequate earthquake supplies?
e. What is the probability that we must survey at least three California residents until we find a California resident who does not have adequate earthquake supplies?
f. How many California residents do you expect to need to survey until you find a California resident who does not have adequate earthquake supplies?
g. How many California residents do you expect to need to survey until you find a California resident who does have adequate earthquake supplies?
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