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MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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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
23 and under
0.1013
0.0999
0.2012
24-26
0.1470
0.1868
0.3338
Age Group
27-30
0.0929
0.1326
0.2255
31-35
0.0328
0.0974
0.1302
36 and over
0.0258
0.0835
0.1093
Total
0.3998
0.6002
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.)
0.3676
(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.)
0.2360
(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.)
0.5866
(d) Suppose a person is known to have applied to only one school. Wwhat is the probability that the person is 31 or more years old? (Round your answer to four decimal places.)
0.2967
Transcribed Image Text: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 23 and under 0.1013 0.0999 0.2012 24-26 0.1470 0.1868 0.3338 Age Group 27-30 0.0929 0.1326 0.2255 31-35 0.0328 0.0974 0.1302 36 and over 0.0258 0.0835 0.1093 Total 0.3998 0.6002 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.) 0.3676 (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.) 0.2360 (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.) 0.5866 (d) Suppose a person is known to have applied to only one school. Wwhat is the probability that the person is 31 or more years old? (Round your answer to four decimal places.) 0.2967
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