According to email logs, one employee at your company receives an average of 4.1

Question

According to email logs, one employee at your company receives an average of 4.15 emails per week. Suppose the count of emails received can be adequately modeled as a Poisson random variable. (a) What is the distribution of the number of emails in a two-week period? (name of distribution) with mu = 4.15 (b) What is the probability of receiving 4 or fewer emails in a two-week period? A factory employs several thousand workers, of whom 50% are Hispanic. If the 13 members of the union executive committee were chosen from the workers at random, the number of Hispanics on the committee would have the binomial distribution with n = 13 and p = 0.50. (a) What is the mean number of Hispanics on randomly chosen committees of 13 workers? (b) What is the standard deviation sigma of the count X of Hispanic members? (c) Suppose that 10% of the factory workers were Hispanic. Then p = 0.1. What is sigma in this case? What is sigma if p = 0.01? What does your work show about the behavior of the standard deviation of a binomial distribution as the probability of a success gets closer to 0? As p decreases, sigma increases. As p increases, sigma increases As p decreases, sigma decreases As p increases, sigma decreases

Explanation / Answer

a) Poisson distribution with mean = 4.15

b) P( x<4) = 0.084 for x =4 and mean = 4.15*2 = 8.3

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.