Chapter 4: Q.29 (page 285)
In words, define the random variable X.
Short Answer
The number of years a student will study contemporary with this dance teacher is the random variable X.
Chapter 4: Q.29 (page 285)
In words, define the random variable X.
The number of years a student will study contemporary with this dance teacher is the random variable X.
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The World Bank records the prevalence of HIV in countries around the world. According to their data, โPrevalence of HIV refers to the percentage of people ages 15 to 49 who are infected with HIV.โ[1] In South Africa, the prevalence of HIV is 17.3%. Let X = the number of people you test until you find a person infected with HIV.
a. Sketch a graph of the distribution of the discrete random variable X.
b. What is the probability that you must test 30 people to find one with HIV?
c. What is the probability that you must ask ten people?
d. Find the
(i) mean and
(ii) standard deviation of the distribution of X.
An electronics store expects to have ten returns per day on average. The manager wants to know the probability of the store getting fewer than eight returns on any given day. State the probability question mathematically.
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
Use the following information to answer the next six exercises: On average, a clothing store gets customers per day.
What values does take on?
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