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Chapter 4: Q.4.4 (page 249)
A hospital researcher is interested in the number of times the average post-op patient will ring the nurse during a 12-hour shift. For a random sample of 50 patients, the following information was obtained. What is the expected value?
The expected value is
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Ellen has music practice three days a week. She practices for all of the three days 85% of the time, two days 8% of the time, one day 4% of the time, and no days 3% of the time. One week is selected at random. What values does X take on?
An emergency room at a particular hospital gets an average of five patients per hour. A doctor wants to know the probability that the ER gets more than five patients per hour. Give the reason why this would be a Poisson distribution.
Use the following information to answer the next eight exercises: The Higher Education Research Institute at UCLA collected data from incoming first-time, full-time freshmen from 270 four-year colleges and universities in the U.S. of those students replied that, yes, they believe that same-sex couples should have the right to legal marital status. Suppose that you randomly pick eight first-time, full-time freshmen from the survey. You are interested in the number that believes that same sex-couples should have the right to legal marital status.
What is the standard deviation?
The probability of a defective steel rod is Steel rods are selected at random. Find the probability that the first defect occurs on the ninth steel rod. Use the calculator to find the answer.
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?
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