3. (25 points) A survey shows that 30% of adults own stocks and 40% own mutual funds. A sample of 10 adults is chosen. Use binomial distribution to answer the following questions. (a) (5 points) What is the probability that there will be less than 2 adults owning mutual funds? (b) (5 points) Determine the probability that there will be at least 2 adults owning stocks. (c) (5 points) Determine the variance of the number of adults not owning stocks. (d) (5 points) What is the probability of getting 5 or 6 adults owning mutual funds? (e) (5 points) What is the probability of not more than 4 adults owning mutual funds?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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3. (25 points) A survey shows that 30% of adults own stocks and 40% own mutual funds. A sample of
10 adults is chosen. Use binomial distribution to answer the following questions.
(a) (5 points) What is the probability that there will be less than 2 adults owning mutual funds?
(b) (5 points) Determine the probability that there will be at least 2 adults owning stocks.
(c) (5 points) Determine the variance of the number of adults not owning stocks.
(d) (5 points) What is the probability of getting 5 or 6 adults owning mutual funds?
(e) (5 points) What is the probability of not more than 4 adults owning mutual funds?
Transcribed Image Text:3. (25 points) A survey shows that 30% of adults own stocks and 40% own mutual funds. A sample of 10 adults is chosen. Use binomial distribution to answer the following questions. (a) (5 points) What is the probability that there will be less than 2 adults owning mutual funds? (b) (5 points) Determine the probability that there will be at least 2 adults owning stocks. (c) (5 points) Determine the variance of the number of adults not owning stocks. (d) (5 points) What is the probability of getting 5 or 6 adults owning mutual funds? (e) (5 points) What is the probability of not more than 4 adults owning mutual funds?
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