Explanation Given: The number of members in different age groups of the Academy of Motion Pictures Arts and Sciences (AMPAS ) are given in the table below, Group 1 2 3 4 5 Age (in years) Under 40 40-49 50-59 60 and over Unknown Number 115 634 1441 3113 462 Let, the random variable X denotes the values 1, 2, 3, 4 and 5, corresponding to the age group in the AMPAS membership. Approach: The probability of an event E is as follows. P ( E ) = n ( E ) n ( S ) … (1) Here, P ( E ) is the probability of the event E , n ( E ) is the number of favorable outcomes for E and n ( S ) is the total number of outcomes. Calculation: Find the total number of outcomes from the given data as follows, n ( S ) = 115 + 634 + 1441 + 3113 + 462 = 5 , 765 Substitute 115 for n ( E ) , and 5 , 765 for n ( S ) in the equation (1) to find the probability associated with the age group which has 1 value X ( X = 1 ) , To determine b) To find: The percentage of AMPAS member who is younger than 50 years old.

11th Edition

ISBN: 9781337496094

Author: Tan

Publisher: CENGAGE C

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Chapter 8.1, Problem 31E

To determine

a)

To find:

The probability distribution associated with the given data.

To determine

b)

To find:

The percentage of AMPAS member who is younger than 50 years old.

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Chapter 8.1, Problem 30E

Chapter 8.1, Problem 32E

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