Question

In: Statistics and Probability

1.Suppose that the number of customers who enter a supermarket each hour is normally distributed with...

1.Suppose that the number of customers who enter a supermarket each hour is normally distributed with a mean of 670 and a standard deviation of 180. The supermarket is open 17 hours per day. What is the probability that the total number of customers who enter the supermarket in one day is greater than 10100? (Hint: Calculate the average hourly number of customers necessary to exceed 10100 in one 17-hour day.)

2.Assume that women's weights are normally distributed with a mean given by μ=143 lb and a standard deviation given by σ=29 lb.
(a)  If 1 woman is randomly selected, find the probabity that her weight is between 113 lb and 173 lb

(b)  If 3 women are randomly selected, find the probability that they have a mean weight between 113 lb and 173 lb

(c)  If 88 women are randomly selected, find the probability that they have a mean weight between 113 lb and 173 lb

Expert Solution

Refer Z-table to find the probability or use excel formula " =NORM.S.DIST(-1.74, TRUE) " to find the probability.

--------------------------------------------------------------------------------------------------------

Refer Z-table to find the probability or use excel formula " =NORM.S.DIST(1.03, TRUE) " & " =NORM.S.DIST(-1.03, TRUE) " to find the probability.

Refer Z-table to find the probability or use excel formula " =NORM.S.DIST(1.79, TRUE) " & " =NORM.S.DIST(-1.79, TRUE) " to find the probability.

Refer Z-table to find the probability or use excel formula " =NORM.S.DIST(9.70, TRUE) " & " =NORM.S.DIST(-9.70, TRUE) " to find the probability.

orchestra answered 2 years ago

the expenditures for all customers at a supermarket are normally distributed with a mean of $100...

the expenditures for all customers at a supermarket are normally distributed with a mean of $100 and a standard deviation of $30. The store’s management wants to give free coupons to customers who spend in the top 5 percentage of all expenditures. How much will customer have to spend in order to get a coupon?

Suppose we are interested in estimating the average number of customers in the supermarket. On average,...

Suppose we are interested in estimating the average number of customers in the supermarket. On average, there are 15 customers entering the supermarket every 5 minutes. And on average, a typical customer spends about 20 minutes in the supermarket (from entering to exiting the market). a. Calculate the average number of customers in the supermarket. b. About 20% of customers leave without making a purchase. On average, a customer spends about 5 minutes in the checkout area. Estimate the average...

1. A grocery store counts the number of customers who arrive during an hour. The average...

1. A grocery store counts the number of customers who arrive during an hour. The average over a year is 29 customers per hour. Assume the arrival of customers follows a Poisson distribution. (It usually does.) Find the probability that at least one customer arrives in a particular one minute period. Round your answer to 3 decimals. Find the probability that at least two customers arrive in a particular 2 minute period. 2. Label each as one of the following...

The number of customers that visit a 24-hour local supermarket during the off-peak hours between 8am...

The number of customers that visit a 24-hour local supermarket during the off-peak hours between 8am - 11am is known to be distributed as Poisson with mean 2 per hour. Determine the probability that i. no customers will visit the supermarket between 8am - 9am. ii. exactly one customer will visit the supermarket between 9am - 11am. iii. exactly one customer will visit the supermarket for each of the time intervals 8am - 9am and 9am-11am.

You want to know the mean number of customers that enter a store per hour. Using...

You want to know the mean number of customers that enter a store per hour. Using data collected over the last month, we have * a 90% confidence interval (C.I.) for the population mean is (17.11, 24.75) * a 99% C.I. of (14.95, 26.91) * a 95% C.I. of (16.38,25.48) For a hypothesis test of H0: μ = 25, in what range will the P value be? Explain. Just use the CI’s to determine the range p-value should be in.

40% of all customers who enter a store will make a purchase. Suppose that 6 customers...

40% of all customers who enter a store will make a purchase. Suppose that 6 customers enter the store and that these customers make independent purchase decisions. Round answers to four decimal places. (1) Calculate the probability that exactly five customers make a purchase. Probability (2) Calculate the probability that at least three customers make a purchase. Probability (3) Calculate the probability that two or fewer customers make a purchase. Probability (4) Calculate the probability that at...

Suppose the number of customers arriving in a bookstore is Poisson distributed with a mean of...

Suppose the number of customers arriving in a bookstore is Poisson distributed with a mean of 2.3 per 12 minutes. The manager uses a robot to observe the customers coming to the bookstore. a)What is the mean and variance of the number of customers coming into the bookstore in 12 minutes? b)What is the probability that the robot observes 10 customers come into the bookstore in one hour? c)What is the probability that the robot observes at least one customer...

Thirty percent of all customers who enter a store will make a purchase. Suppose 10 customers...

Thirty percent of all customers who enter a store will make a purchase. Suppose 10 customers enter the store, and that they make independent purchasing decisions. (a) Let X be the number, out of the 10 customers in the store, who will make a purchase. Write the binomial probability density function for this situation. (b) Use the binomial distribution to calculate the probability exactly 5 customers make a purchase. (c) Find the probability that 4 or fewer customers make a...

4. Customers enter a store at a rate of 3 customers per hour. a) Compute the...

4. Customers enter a store at a rate of 3 customers per hour. a) Compute the probability that at least two, but no more than five customers enter the store in a given hour. b) Compute the probability that it takes more than 30 minutes for the first customer to enter the store this hour. c) Suppose you know that exactly 1 customer entered the store during a given hour. Compute the probability that the customer entered the store between...

The amount of time a shopper spends in the supermarket is normally distributed with a mean...

The amount of time a shopper spends in the supermarket is normally distributed with a mean of 45 minutes with a standard deviation of 12 minutes. If 10 shoppers are selected, how many of them will spend less than 35 minutes? Round your answer to 3 decimal places. Do not include units in your answer. 4 points QUESTION 13 The amount of time a shopper spends in the supermarket is normally distributed with a mean of 45 minutes with a...