Suppose the number of games sold at a store open every day of the week follows a Poisson distribution with an average of 0.25games sold per day. (Round your answers to 3 decimal places, if needed.)(a) What is the probability that the store sells at least one game on a randomly selected day?(b) If the number of games sold in a day is independent from other days, what is the probability that the store sells at least one gameeach day in exactly 3 days of a single week?(c) If the number of games sold in a day is independent from other days, what is the probability that the store sells at least one gameeach day in at least 3 days of a single week?

Here given number of games sold at store open every day of week follows poisson distribution And…

Answered: (a) What is the probability that the…

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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Two machines turn out all the products in a factory, with the first machine producing 35% of the product and the second 65%. The first machine produces defective products 7% of the time and the second machine 2% of the time (a) What is the probability that a defective part is produced at this factory given that it was made on the first machine?
Suppose that Stephen makes 95% of his free throws. Assume that late in a basketball game, he is fouled and is awarded two shots. (a) What is the probability that he will make both shots? (b) What is the probability that he will make at least one shot? (c) What is the probability that he will miss both shots? (d) Late in a basketball game, a team often intentionally fouls an opposing player in order to stop the game clock. The usual strategy is to intentionally foul the other team's worst free- throw shooter. Assume that Stephen's team's center makes 57% of his free-throw shots. Calculate the probabilities for the center as shown in parts (a), (b), and (c). Assume as in parts (a), (b), and (c) that two shots will be awarded. P(center makes two shots) = P(center makes at least one shot) = P(center misses both shots) =
3. A retailer sells two brands of batteries that experience indicates are equal in demand. If he stocks two of each brand (which means he has 4 batteries in his store), what is the probability that a customer seeking to purchase two batteries, purchases the same brand? 1/3 2/3 01/2 1/4
Airline A is on time 80% of the time, Airline B is on time 85% of the time, and Airline C is on time 90% of the time. Airline A has twice as many flights as Airline B, and Airline B has three times as many flights as Airline C. One flight is selected at random from one of these airlines. (a) What is the probability this flight on time? (b) Given that the flight is on time, what is the probability it is from Airline A?
EXAMPLE 5 If 3 balls are "randomly drawn" from a bowl containing 6 white and 5 black balls, what is the probability that one of the balls is white and the other two black?
Historical records of managers of a fast food suggest that they have an average of 3 customers per hour who pay using credit card, and that this average is the same for every hour of operation of the fast food. What is the probability that there will be 5 customers who pay using credit card in the next 2 hours?
A cook is preparing fruit jam for the festival next week. She has bought 30 apples from the farmer's market and unknown to the cook, 8 of these apples are not fresh. She will randomly select 10 apples to prepare the jam. What is the probability that she will use at least 3 of the apples that are not fresh for preparing the jam?
Suppose one NBA player can get one point in each free shot with probability 0.8. Now he has five times of free shots and it is reasonable to assume that the result in each shot has no impact on other shots. (b) What is the probability of his getting 3 points?(c) What is the probability of his getting at least 2 points?(d) we define an unusual event if the chance of the event is below 5%. Is it an unusual event that he lost all his shots? please explain each step fully
Suppose 30% of Americans are satisfied with the state of the U.S. In a sample of 20 Americans, what is the probability that at most 1 person is satisfied with the state of the U.S.?
A country is visited by 6 typhoons on average in a year. What is that probability that there is no typhoon for the next month?
In a city, there are two independent firetrucks, the probability that the first firetruck access to the fire place during ten minutes is 0.75, while the probability that the second firetruck access the fire place during ten minutes is 0.6. what is the probability that both firetrucks can access the fire place at the same time?
In a production line where shirts are produced, shirts in two colors, blue and red, are produced. It is known that 1 of the 100 shirts produced in this production line is red. What is the probability that the first blue shirt produced accordingly was the 5th shirt? How many shirts are expected to be produced on the production line until the first red shirt is produced?

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