Chapter 4: Q.64 (page 287)
X ~ _____(_____,_____)
Short Answer
The required value is.
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Chapter 4: Q.64 (page 287)
X ~ _____(_____,_____)
The required value is.
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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 .
The literacy rate for a nation measures the proportion of people age 15 and over who can read and write. The literacy rate for women in Afghanistan is 12%. Let X = the number of Afghani women you ask until one says that she is literate.
a. What is the probability distribution of X?
b. What is the probability that you ask five women before one says she is literate?
c. What is the probability that you must ask ten women?
d. Find the (i) mean and (ii) standard deviation of X.
In words, the random variable
a. the number of times Mrs. Plum’s cats wake her up each week.
b. the number of times Mrs. Plum’s cats wake her up each hour.
c. the number of times Mrs. Plum’s cats wake her up each night.
d. the number of times Mrs. Plum’s cats wake her up.
Suppose that the probability that an adult in America will watch the Super Bowl is 40%. Each person is considered independent. We are interested in the number of adults in America we must survey until we find one who will watch the Super Bowl.
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 adults in America do you expect to survey until you find one who will watch the Super Bowl?
e. Find the probability that you must ask seven people.
f. Find the probability that you must ask three or four people
Approximately of students at a local high school participate in after-school sports all four years of high school. A group of seniors is randomly chosen. Of interest is the number that participated in after-school sports all four years of
high school.
a. In words, define the random variable .
b. List the values that may take on.
c. Give the distribution of
d. How many seniors are expected to have participated in after-school sports all four years of high school?
e. Based on numerical values, would you be surprised if none of the seniors participated in after-school sports all
four years of high school.
f. Based on numerical values, is it more likely that four or that five of the seniors participated in after-school sports
all four years of high school? Justify your answer numerically.
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