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dom Variables and Probability Distributions ed Assignment | Read Chapter 6 | Bac

ID: 3047010 • Letter: D

Question

dom Variables and Probability Distributions ed Assignment | Read Chapter 6 | Back to Assignment Due Monday 02.19.18 at 11:45 P Keep the Highest: /4 ttempts: 18. Chapter 6, Section 6.7, Exercise Set 1, Problem 6.76 Twenty-five percent of the customers of a grocery store use an express checkout. Consider five randomly selected Aa Aa customers, and let x denote the number among the five who use the express checkout. What is p(2), that is, P(x = 2), to four decimal places? What is P(x s 1), to four decimal places? What is P(2 s x), to four decimal places? (Hint: Make use of your computation in above part.) What is P(x 2), to four decimal places?

Explanation / Answer

Solution:-

p = 0.25, n = 5

a) P(x = 2) = 0.2637

x = 2

By applying binomial distribution

P(x,n) = nCx*px*(1-p)(n-x)

P(x = 2) = 0.2637

b) P(x < 1) = 0.6328

x = 1

By applying binomial distribution

P(x,n) = nCx*px*(1-p)(n-x)

P(x < 1) = 0.6328

c)

P(x > 2) = 0.3672

x = 2

By applying binomial distribution

P(x,n) = nCx*px*(1-p)(n-x)

P(x > 2) = 1 - P(x < 1)

P(x > 2) = 1 - 0.6328

P(x > 2) = 0.3672

d) P(x 2) = 0.7363

P(x 2) = 1 - P(x = 2)

P(x 2) = 1 - 0.2637

P(x 2) = 0.7363