Explanation Given: The given values are n = 10 and p = 0.2 . Formula Used: Let X be a binomial random variable that represents the number of successes in n trials with success probability p . Thus, the probability for x success is P ( x ) = C n x p x ( 1 − p ) n − x . Here, ( n x ) = n ! r ! ( n − r ) ! . Let X be a binomial random variable that represents the number of successes in n trials with success probability p . The mean of X is μ X = n p . The variance of X is σ X 2 = n p ( 1 − p ) . The standard deviation of X is σ X = n p ( 1 − p ) . Calculation: The given values are n = 10 and p = 0.2 . Find the value of probability distribution with x = 1 , use the formula P ( x ) = C n x p x ( 1 − p ) n − x . Substitute 0.2 for p , 10 for n and 1 for x in the above formula. P ( x ) = ( n c ) p x ( 1 − p ) n − x P ( 1 ) = ( 10 1 ) ( 0.2 ) 1 ( 1 − 0.2 ) 10 − 1 = 10 ! 1 ! ( 10 − 1 ) ! ( 0

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ISBN: 9781259724275

Author: William Navidi, Barry Monk

Publisher: McGraw-Hill Education

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Chapter 6.2, Problem 18E

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To calculate: The probability P(1) for a binomial experiment. Also, find the mean, variance and standard deviation.

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Chapter 6.2, Problem 17E

Chapter 6.2, Problem 19E

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Chapter 6 Solutions

Elementary Statistics 2nd Edition

Ch. 6.1 - Exercises 9-12, fill in each blank with the...Ch. 6.1 - Exercises 9-12, fill in each blank with the...Ch. 6.1 - Exercises 9-12, fill in each blank with the...Ch. 6.1 - Exercises 9-12, fill in each blank with the...Ch. 6.1 - In Exercises 13-16, determine whether the...Ch. 6.1 - In Exercises 13-16, determine whether the...Ch. 6.1 - In Exercises 13-16, determine whether the...Ch. 6.1 - In Exercises 13-16, determine whether the...Ch. 6.1 - In Exercises 17-26, determine whether the random...Ch. 6.1 - In Exercises 17-26, determine whether the random...

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The probability P ( 1 ) for a binomial experiment. Also, find the mean , variance and standard deviation.

Solution Summary: The author calculates the probability P(1) for a binomial experiment. They also find the mean, variance and standard deviation.

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To calculate: The probability P(1) for a binomial experiment. Also, find the mean, variance and standard deviation.

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Chapter 6 Solutions