A survey asked students of different age groups whether or not they had applied to more than one school. After gathering the data, the following joint probability table was produced. Applied to More Than One School Yes No Total Age Group 23 and under 0.1017 0.1007 0.2024 24–26 0.1478 0.1870 0.3348 27–30 0.0918
A survey asked students of different age groups whether or not they had applied to more than one school. After gathering the data, the following joint probability table was produced. Applied to More Than One School Yes No Total Age Group 23 and under 0.1017 0.1007 0.2024 24–26 0.1478 0.1870 0.3348 27–30 0.0918
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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A survey asked students of different age groups whether or not they had applied to more than one school. After gathering the data, the following joint probability table was produced.
| Applied to More Than One School | ||||
|---|---|---|---|---|
| Yes | No | Total | ||
| Age Group | 23 and under | 0.1017 | 0.1007 | 0.2024 |
| 24–26 | 0.1478 | 0.1870 | 0.3348 | |
| 27–30 | 0.0918 | 0.1334 | 0.2252 | |
| 31–35 | 0.0332 | 0.0952 | 0.1284 | |
| 36 and over | 0.0243 | 0.0849 | 0.1092 | |
| Total | 0.3988 | 0.6012 | 1.0000 |
(a)
Given that a person applied to more than one school, what is the probability that the person is 24–26 years old? (Round your answer to four decimal places.)
(b)
Given that a person is in the 36-and-over age group, what is the probability that the person applied to more than one school? (Round your answer to four decimal places.)
(c)
What is the probability that a person is 24–26 years old or applied to more than one school? (Round your answer to four decimal places.)
(d)
Suppose a person is known to have applied to only one school. What is the probability that the person is 31 or more years old? (Round your answer to four decimal places.)
(e)
Is the number of schools applied to independent of age? Explain.
Yes, because P(31 to 35 ∩ No) = 0.Yes, because P(24 to 26 | Yes) = P(Yes | 24 to 26). No, because the two events aren't mutually exclusive.No, because P(24 to 26 | Yes) ≠ P(24 to 26).
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