Answered: A survey asked students of different…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

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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