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Chapter 4: Q.14 (page 283)
What values does take on?
Because denotes the number of community events at which Sam has volunteered in a given month, the random variable's values are. This is due to Sam's practice of not volunteering for more than five events per year.
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In words, the random variable
a. the number of times Mrs. Plum鈥檚 cats wake her up each week.
b. the number of times Mrs. Plum鈥檚 cats wake her up each hour.
c. the number of times Mrs. Plum鈥檚 cats wake her up each night.
d. the number of times Mrs. Plum鈥檚 cats wake her up.
Use the following information to answer the next six exercises: The Higher Education Research Institute at UCLA collected data from 203,967 incoming first-time, full-time freshmen from 270 four-year colleges and universities in the U.S. 71.3% of those students replied that, yes, they believe that same-sex couples should have the right to legal marital status. Suppose that you randomly select freshman from the study until you find one who replies 鈥測es.鈥� You are interested in the number of freshmen you must ask.
On average (渭), how many freshmen would you expect to have to ask until you found one who replies "yes?"
Use the following information to answer the next six exercises: On average, a clothing store gets customers per day.
Assume the event occurs independently in any given day. Define the random variable .
At The Fencing Center, 60% of the fencers use the foil as their main weapon. We randomly survey 25 fencers at The Fencing Center. We are interested in the number of fencers who do not use the foil as their main weapon.
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. How many are expected to not to use the foil as their main weapon?
e. Find the probability that six do not use the foil as their main weapon.
f. Based on numerical values, would you be surprised if all 25 did not use foil as their main weapon? Justify your answer numerically.
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.
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