The average number of classic comic books sold per week at your store is 28. What is the probability that over the next 3 days, no more than 10 classic comic books are sold? (Assume a Poisson Distribution) O.2424 O6528 O.7576 O.1048 O 3472
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- The manager of a large manufacturing company wants to estimate the proportion of items that have been manufactured with defects. How many items are required for a random sample to obtain a margin of error of at most 0.04 with 90% confidence? Find the z-table here. 65 423 601 1,037To estimate the number of new COVID cases over the next month, a hospital administrator decides to use a simulation model. In particular, she assumes that she can use a normal distribution with a mean of 500 and a standard deviation of 60. Use the following ten random numbers to run a simulation of the number of new COVID cases over the next month:0.60, 0.35, 0.14, 0.03, 0.97, 0.42, 0.11, 0.73, 0.17, 0.45 a) Based on this simulation, what is the average number of new COVID cases over the next month? b) Based on this simulation, what is the highest number of new COVID cases over the next month? c) Based on this simulation, what is the probability of getting less than 450 new COVID cases over the next month?Let the random variable X represent the number of customers who arrive in a store in one hour. Suppose a Poisson probability distribution with 9 provides a good approximation of the distribution of a random variable X. What is the mean number of customers who arrive in this store in one hour?
- 95% of students at school are between 1.1m and 1.7m tall. The Z-score is 3m. determine the expected number and variance of male childrenuse the normal distribution to approximate the following binomial probability. a product is manufactured in batches of 100 and a defect rate of 9%. find the probability of more than 8 defectsHandy Glass Pty has found that 25% of customers in its client base are located in London. A sample of 130 customers is randomly selected. Assuming normal distribution:Q.2.1.1 Determine the standard error for this sample. Q.2.1.2 What is the probability that more than 24.50% of the customers in thesample are situated in London? Interpret your answer.
- The number of customers arriving at a teller’s window at Commercial Bank is Poisson distributed with a mean rate of 2 persons per minute. Calculate the probability of six (6) customers arriving at the teller’s window between 10:30 am – 10:35 am (a 5 minute interval).A vaccine for covid 19 is known to be 90% effective, i.e. 90% of vaccine recipients are successfully immunised against covid 19. A new (different) vaccine is tested on 100 patients and found to successfully immunise 96 of the 100 patients. Is the new vaccine better? Hint: Assume the new vaccine is equally effective as the original vaccine and consider using an appropriate approximating distributionLet x be a random variable that represents the delivery time (in hours) for packages delivered bya company. You may assume that x is normally distributed with mean μ = 14 and standarddeviation σ = 2.3.a. For a package selected at random, what is the probability that it will be delivered in at most18 hours?b. For a random sample of 20 packages, what is the probability that the sample mean deliverytime is at least 13.5 hours?