## Question

###### A survey asked students of different age groups whether or not they had applied to more...

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 ho Total 23 and under 0.1023 0.1003 0.2026 24-26 0.1463 0.1864 0.3327 Age Group 27-30 0.0919 0.1320 0.2219 31-35 0.0331 0.0959 0.1300 36 and over 0.0257 0.0051 0.1108 Total 0.3993 0.6007 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 24-25 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 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 No, because the two events aren't mutually exclusive Yes, because 24 to 26 Yes Yes 24 to 26). Yes, because 31 to 35 No) - 0. No. because P[24 to 26 Yos) (24 to 26).

## Answers

solution :- aP( 34.36) - P124-26 nyes) 0.1463 pives) 0.3993 0.3664 b) PI yes 36+ 1-) 0·2319 0.0257 0.1108 P(24 - 26 v ves) - P124 - ? 24-26) + Plyes) p(24-26 nyes) 0.332 7 + 0.3993 - 0.1463 0.5857 31+ d) Po * P( 31+ n No P/NO) 0.0969 +0.0851 0.6007 0.3030 ) So, Plyes) sima, po ) - 0.2319 + Also, P 1 24-21) PC 24-26) No Because I yes D

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