Suppose that 20,000 married adults in a country were randomly surveyed as to the number of children they have. The results are compiled and are used as theoretical probabilities. Let X = the number of children married people have. x P(x) XP(x) 0 0.15 1 0.20 2 0.30 3 4 5 0.10 6 (or more) 0.05 0.05 (a) Find the probability that a married adult has three children. (Enter your answer to two decimal places.) (b) In words, what does the expected value in this example represent? O the average number of children adults in the country have O the average number of children married adults in the country have O the number of children married adults in the country have O the number of children adults in the country have (c) Find the expected value. (Enter your answer to two decimal place.) children (d) Is it more likely that a married adult will have two to three children or four to six children? How do you know? ◇ it is more likely to have two to three children, with p = 0.3 ○ it is more likely to have four to six children, with p = 0.8 O it is more likely to have two to three children, with p = 0.45 ◇ it is more likely to have four to six children, with p = 0.2 O it is more likely to have four to six children, with p = 0.1 Submit Answer

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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Suppose that 20,000 married adults in a country were randomly surveyed as to the number of children they have. The results are compiled and are used as theoretical probabilities. Let X = the number of children married
people have.
x
P(x)
XP(x)
0
0.15
1
0.20
2
0.30
3
4
5
0.10
6 (or more)
0.05
0.05
(a) Find the probability that a married adult has three children. (Enter your answer to two decimal places.)
(b) In words, what does the expected value in this example represent?
O the average number of children adults in the country have
O the average number of children married adults in the country have
O the number of children married adults in the country have
O the number of children adults in the country have
(c) Find the expected value. (Enter your answer to two decimal place.)
children
(d) Is it more likely that a married adult will have two to three children or four to six children? How do you know?
◇ it is more likely to have two to three children, with p = 0.3
○ it is more likely to have four to six children, with p = 0.8
O it is more likely to have two to three children, with p = 0.45
◇ it is more likely to have four to six children, with p = 0.2
O it is more likely to have four to six children, with p = 0.1
Submit Answer
Transcribed Image Text:Suppose that 20,000 married adults in a country were randomly surveyed as to the number of children they have. The results are compiled and are used as theoretical probabilities. Let X = the number of children married people have. x P(x) XP(x) 0 0.15 1 0.20 2 0.30 3 4 5 0.10 6 (or more) 0.05 0.05 (a) Find the probability that a married adult has three children. (Enter your answer to two decimal places.) (b) In words, what does the expected value in this example represent? O the average number of children adults in the country have O the average number of children married adults in the country have O the number of children married adults in the country have O the number of children adults in the country have (c) Find the expected value. (Enter your answer to two decimal place.) children (d) Is it more likely that a married adult will have two to three children or four to six children? How do you know? ◇ it is more likely to have two to three children, with p = 0.3 ○ it is more likely to have four to six children, with p = 0.8 O it is more likely to have two to three children, with p = 0.45 ◇ it is more likely to have four to six children, with p = 0.2 O it is more likely to have four to six children, with p = 0.1 Submit Answer
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