The rate of scores in a test is 5, which follows poisson distribution. Find the probability for exactly 3 student's scores?
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- StatisticsghuDecide whether you can use the normal distribution to approximate the binomial distribution. If you can, use the normal distribution to approximate the indicated probabilities and sketch their graphs. If you cannot, explain why and use the binomial distribution to find the indicated probabilities. A survey of adults found that 8% say their favorite sport is auto racing. You randomly select 400 adults and ask them to name their favorite sport. Complete parts (a) through (d). .... . Determine whether a normal distribution can be used to approximate the binomial distribution. Choose the correct answer below. A. No, because np < 5. B. No, because nq < 5. C. Yes, because both np 25 and nq 2 5. (a) Find the probability that the number of people who say auto racing is their favorite sport is at most 39. (Round to four decimal places as needed.)Plz explain. Ty
- Consider the probability that more than 9595 out of 155155 CDs will not be defective. Assume the probability that a given CD will not be defective is 60%60%. Approximate the probability using the normal distribution. Round your answer to four decimal places.In a recent year, Professor Thompson wrote 195 checks. Find the probability that on a randomly selected day, he wrote at least one check. (Hint: Use the Poisson distribution)Describe the procedures on how to use the normal probability distribution?
- Decide whether you can use the normal distribution to approximate the binomial distribution. If you can, use the normal distribution to approximate the indicated probabilities and sketch their graphs. If you cannot, explain why and use the binomial distribution to find the indicated probabilities. A survey of adults found that 8% say their favorite sport is auto racing. You randomly select 400adults and ask them to name their favorite sport. Complete parts (a) through (d). (a) Find the probability that the number of people who say auto racing is their favorite sport is at most 38.Consider a Poisson distribution with an average of 4 customers per minute at the local grocery store. If X = the number of arrivals per minute:Find the probability of 8 customers or less arriving within a minute. Find the probability of more than 7 customers arriving within a minute. Find the probability of 3 customers arriving within a minute.A bartender calculates that every night she works, she has a 60% chance of earning more than $275 in tips. Suppose she works 35 nights in a row. Use a normal distribution to approximate the probability that she earns more than $275 in tips on at least 25 of those nights.
- H= 322 +A Q32. Explain M.G.F of poisson distribution.The random variable x represents the number of emails a student receives on a day. Assume it has a Poisson distribution with a mean of 14.3 emails. Find the probability that in a random day the student receives 3 emails. Round your answer to four decimal places.The number of admissions per day at an emergency room has a Poisson distribution and its parameter is 5.Find the probability of I. At least 3 admissions per day II. At most 8 admissions per day.
