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Question

Secure https://www.math l.com/Student/PlayerHomework.aspx?homeworkld-462958402&questionId;=1&flushed-false;&cl; QMB 3200 Spring 2018 Matthew Roth Homework: Chapter 5 Homework Score: 0 of 1 pt 9011002 complete) HW Score: 8. 5.3.27-T in a single season, an average of 1.7 home runs were hit per game. Assume the number of home runs per game follows the Poisson distribution. a) What is the probability that 4 home runs will be hit in a randomly selected game? b) What is the probability that no home runs will be hit in a randomly selected game? c) What is the probability that more than 2 home runs will be hit in a randomly selected game? d) What is the standard deviation for this distribution? a) The probability that 4 home runs will be hit is (Round to four decimal places as needed.) Enter your answer in the answer box and then click Check Answer 3panairing-- Clear All Check Answer 5 8 0

Explanation / Answer

mean=1.7

using Excel

a) P(x=4)=POISSON.DIST(4,1.7,FALSE) =0.06357

b) P(x=0)=POISSON.DIST(0,1.7,FALSE) =0.18268

c) P(x>2)=1-P(x<=2)=1-POISSON.DIST(2,1.7,TRUE) =0.2428

d) standard deviation is same as mean which is 1.7

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