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Three questions on geometric distribution, poisson distribution, and binomial distribution

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1) Assume the geometric distribution applies.Use the given probability of success to find the indicated probability.
Find (P3), when p=0.58

2) Assume the Poisson distribution applies. Use the mean to find the indicated probability.
Find (P), when μ=2.52

3) Assume the probability that you will make a sale on any five telephone call is 0.66. Find the probability that you (a) make your first sale on the 5th call, (b) make your first sale on the 1st call 2nd, 3rd, and 4th call. and (c) you do make a sale on one of the first call.

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Solution Summary

The solution answers three questions of probability on three different distributions: geometric, poisson, and binomial

Solution provided by:
Education
  • BSc , Wuhan Univ. China
  • MA, Shandong Univ.
Recent Feedback
  • "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
  • "excellent work"
  • "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
  • "Thank you"
  • "Thank you very much for your valuable time and assistance!"
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