Question 6From past records, a store finds that 26% of people who enter the store will make a purchase. 18 peopleenter the store during a one-hour period.a. What is the probability that exactly 10 customers make a purchase? 18 customers? 3 customers?b. Find the expected number of customers who make a purchase.C.Find the variance and standard deviation of the number of customers who make a purchase

The probability of successes is 0.26. The sample size is 18. We have to find the probability that…

Answered: From past records, a store finds that…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Solve the problem.Assume that mountain lions' weights are normally distributed with a mean of 62.6 kilograms and a standard deviation of 2.6 kilograms. If 70 mountain lions are randomly selected, find the probability that they have a mean weight between 61.9 kilograms and 62.8 pounds.
An online retailer operates two independent warehouses (A & B) where it keeps its inventory. Each warehouse has a .05 probability of experiencing a fire. If a fire is experienced in a given warehouse, $1,000 in inventory will be lost. What is the pooled standard deviation of the warehouses per warehouse (round to the nearest whole number)?
The rent for a one-bedroom apartment in Wooster is a normally distributed random variable with a mean of $500 and a standard deviation of $50. a. What is the probability that the rent for a one-bedroom apartment will be between $460 and $540? b. Determine the maximum rent of the lowest 20% of all apartments. c. If the rents for 1000 one-bedroom apartments are at least $510, how many one-bedroom apartments are in Wooster?
When studying radioactive material, a nuclear engineer found that over 365 days, 1,000,000 radioactive atoms decayed to 974,425 radioactive atoms, so 25,575 atoms decayed during 365 days. a. Find the mean number of radioactive atoms that decayed in a day. b. Find the probability that on a given day, 52 radioactive atoms decayed.
Assume the average price for a movie is $7.35. Assume the population standard deviation is $0.44 and that a sample of 40 theatres was randomly selected. What is the probability that the sample mean will be less than $7.31?
Market research has shown that 60% of persons who are introduced to a certain product actually buy the product. A random sample of 15 persons were introduced to the product. i. Define the variable of interest for this scenario. ii. What probability distribution do you think best describes the situation? Why? iii. Calculate the probability that exactly 9 will buy the product. iv. If 80 persons are introduced to the product, determine the number of person who are expected to buy the product. b) It is known that an average of 5 trains pass through Grand Central Terminal every 30 minutes. Find the probability that i. Exactly 4 trains will pass in 30 minutes ii.…
7a. Suppose you go to Alaska in February where the chance of snow is .90 (90 percent). You are there for two days. Make the probability distribution associated with this experience. b. Find the mean, variance, and standard deviation for number 7.
3. After being nominated for an MTV Music Award, the probability of winning is 22%. If Ariana Grande has been nominated for five awards, what is the chance that she will win at least one award? How many awards should she expect to win? What is the standard deviation associated with this probability?
Assume that the sales of Teri’s Specialty Cakes has historically followed a normal distribution, with an average of 250 cakes per month, and a standard deviation of 15 cakes.a. What is the probability that the sales for cakes will be no more than 285 over the next month?b. What is the probability that the sales for the cakes will be no more than 230 cakes over the next month?c. What is the probability that the sales for the cakes will be between 245 and 265 over the next month?d. What number of cake demand can Teri reasonably assume with a confidence level of 95%?For a, b, c, and d, please write out your work for at least one of these problems. For all problems, explain your answers and sketch a plot (similar to the handouts and text).

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