Probabilities that customers A, B, and C purchase an item are 0.4, 0.5, and 0.6correspondingly. Find the probability that at least one customer purchases an item.

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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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Consider the situation that two events A and B are independent. P(A) = 0.2 and P(B)= 0.5. What is the probability that both events A and B occur?
You purchase a brand new car for $15,000 and insure it. The policy pays 78% of the car's value if there is an issue with the engine or 30% of the car's value if there is an issue with the speaker system. The probability of an issue with the engine is 0.009, and the probability there is an issue with the speaker system is 0.02. The premium for the policy is p. Let X be the insurance company's net gain from this policy. (a) Create a probability distribution for X, using p to represent the premium on the policy. Enter the possible values of X in ascending order from left to right. P(X) (b) Compute the minimum amount the insurance company will charge for this policy. Round your answer to the nearest cent
A poker player has either good luck or bad luck each time she plays poker. She notices that if she has good luck one time, then she has good luck the next time with probability 0.2 and if she has bad luck one time, then she has good luck the next time with probability 0.4. What fraction of the time in the long run does the poker player have good luck?
A prize is placed at random in one of three boxes. You pick a box (and do not open it). Now, the dealer (who knows where the prize is) chooses one of the other two boxes, opens it and shows you that it is empty. She then gives you the opportunity to keep your original box or switch to the other unopened box. Find the probability of winning the prize if you switch. Find the probability of winning the prize if you stay. Should you stay or switch?
A family has 3 children. Assume that each child is as likely to be a boy as it to be a girl. Find the probability that the family has 3 girls if it is known the family has at least one girl.
A family has 66 children. Assume that each child is as likely to be a boy as it is to be a girl. Find the probability that the family has 66 girls if it is known the family has at least one girl.
Machines A and B produce 40% and 60% respectively of the production of a component intended for the motor industry. The probability that machine A produces a defective component is 0.05 while the probability that machine B produces a defective component is 0.09.D. If a component is selected at random and is found to be not defective, find the probability that it was made by machine B.E. What is the probability to find a component that is not defective and it was made by machine A?F. What is the probability to find a component that is not defective and it was made by machine B?
Three hunters shoot at the wolf. They hit the wolf with the probabilities of 0.8,0.2, and 0.4, respectively. Find the probability that only one hunter hit the wolf.
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A company receives 30% of its shipments from source A and the rest from source B. For source A, the defective rate is 10% and for source B, the defective rate is 6%. The company just receives a shipment which contains 10 items.Determine the probability that there will be one defective item.

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Probabilities that customers A, B, and C purchase an item are 0.4, 0.5, and 0.6 correspondingly. Find the probability that at least one customer purchases an item.