Explanation Given Information: A fair die is rolled, and X is the number facing up. Formula Used: If there is a random variable X which has values x 1 , x 2 , ... , then the probability distribution of the event includes the probabilities such as X = x 1 , X = x 2 and the sum of these probabilities is always 1 . For the random variable X, P ( X = x ) represents the random variable X with the particular value of x. Calculation: Consider the probability distribution for the random variable X . Possible values of the variable X when a die is rolled are x 1 = 1 , x 2 = 2 , x 3 = 3 , x 4 = 4 , x 5 = 5 , x 6 = 6 Total number of outcomes when a die is rolled is 6 . Then the probability of any particular number facing up is 1 6 . The probability distribution of the variable X , where X is the number facing up is as follows, x 1 2 3 4 5 6 P ( X = x ) 1 6 1 6 1 6 1 6 1 6 1 6 Evaluate the probability of P ( X < 5 )

7th Edition

ISBN: 8220103612005

Author: Costenoble

Publisher: CENGAGE L

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Chapter 9.1, Problem 21E

To determine

To calculate: The value of P(X<5), the probability distribution for the indicated random variable also sketch the histogram for the probability distribution, when a fair die is rolled, and X is the number facing up.

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Chapter 9.1, Problem 20E

Chapter 9.1, Problem 22E

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Chapter 9 Solutions

EBK FINITE MATH AND APPLIED CALCULUS

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The value of P ( X < 5 ) , the probability distribution for the indicated random variable also sketch the histogram for the probability distribution, when a fair die is rolled, and X is the number facing up.

Solution Summary: The author calculates the probability distribution for the indicated random variable, X, when a fair die is rolled, and the number facing up.

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To calculate: The value of P(X<5), the probability distribution for the indicated random variable also sketch the histogram for the probability distribution, when a fair die is rolled, and X is the number facing up.

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Chapter 9 Solutions

The value of P ( X &lt; 5 ) , the probability distribution for the indicated random variable also sketch the histogram for the probability distribution, when a fair die is rolled, and X is the number facing up.

Solution Summary: The author calculates the probability distribution for the indicated random variable, X, when a fair die is rolled, and the number facing up.

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To calculate: The value of P(X<5), the probability distribution for the indicated random variable also sketch the histogram for the probability distribution, when a fair die is rolled, and X is the number facing up.

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Chapter 9 Solutions

The value of P ( X < 5 ) , the probability distribution for the indicated random variable also sketch the histogram for the probability distribution, when a fair die is rolled, and X is the number facing up.