Question 4 a) For a large group of sale prospects, it has been observed that 22 percent of those contacted personally by a sales representative will make a purchase. If a sales representative contacts 35 prospects: i) Determine the probability that 10 or more will make a purchase (include also correction of continuity). ii) Determine the probability that not more than 3 will make a purchase (include also correction of continuity). iii) In what condition does binomial distribution approximate to normal distribution?

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter20: Queuing Theory
Section20.11: The M/g/s/gd/s/∞ System (blocked Customers Cleared)
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Question 4
a) For a large group of sale prospects, it has been observed that 22 percent of those contacted
personally by a sales representative will make a purchase. If a sales representative contacts
35 prospects:
i) Determine the probability that 10 or more will make a purchase (include also
correction of continuity).
ii) Determine the probability that not more than 3 will make a purchase (include also
correction of continuity).
iii) In what condition does binomial distribution approximate to normal distribution?
Transcribed Image Text:Question 4 a) For a large group of sale prospects, it has been observed that 22 percent of those contacted personally by a sales representative will make a purchase. If a sales representative contacts 35 prospects: i) Determine the probability that 10 or more will make a purchase (include also correction of continuity). ii) Determine the probability that not more than 3 will make a purchase (include also correction of continuity). iii) In what condition does binomial distribution approximate to normal distribution?
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