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ASSIGNMENT RESOURCES Problem 3.017 The following function is probability mass fu

ID: 3304707 • Letter: A

Question

ASSIGNMENT RESOURCES Problem 3.017 The following function is probability mass function. Problem 3-157 Problem 3.159 Problem 3.176 Problem 3.200 Problem 3198 19 29 319 29 1/9 Determine the requested probabilities [Give exact answers in form of fraction.] (a) P(XS 2) = Review Score evew esults by Study Objective (b) P(X >-2) = Mobile Site (d) RXs-1 or x = 2) = Statistical Tables and Charts Click if you would like to Show Work for this question: Question Attempts: O of 2 used SAVE FOR LATER S SUBMIT ANSWER

Explanation / Answer

a) Here we have to compute the probability:

P(X < =2)

As we see from the table, the given probability function is given for X less than or equal to 2 only. Therefore

P(X < =2) = 1

Therefore 1 is the required probability here.

b) Here we have to compute the probability:

P(X > -2) = 1 - P(X=-2) = 1 - (1/9) = 8/9 = 0.8889

Therefore 8/9 is the required probability here.

c) The probability here is computed as:

P( -1 < = X < =1) = P(X=-1) + P(X=0) + P(X=1) = (2/9) + (3/9) + (2/9) = 7/9 = 0.7778

Therefore 7/9 is the required probability here.

d) The probability here is computed as:

P(X < = -1 or X = 2) = 1 - P(X=1) - P(X=0) = 1 - (3/9) - (2/9) = 4/9 = 0.4444

Therefore 4/9 is the required probability here.