Probabilities that customers A, B, and C purchase an item are 0.7, 0.6, and 0.1 correspondingly. Find the probability that only one customer purchases an item.
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- Two classmates, Aisha and Brandon, want to attend two school activities over the coming weekend. They have one parking pass between them. The probabilities that the classmates will attend each event are shown in the table. Aisha Brandon Probability of attending the Saturday activity 0.65 0.94 Probability of attending the Sunday activity 0.80 0.43The probability that a person owns a microwave oven is 0.55, that a person owns a compact disk player is 0.45, and that a person owns both a microwave and a CD player is 0.11. Find the probability that a person owns either a microwave or a CD player, but not both.We know that on a random day during the summer the probability that the student jogs is 0.65, the probability that the students swims is 0.40 and the probability that the student does both is equal to 0.18 What is the probability: i the students does neither
- The probability of rain during winter is 0.8. The probability of a heat wave during winter is 0.1. Rain and heat waves cannot coexist at the same time. What is the probability of having either a rainy day or a heat wave during winter? a. 1 b. 0.9 c. 0.08 d. 0.82Q7 A faculty member meets two students in Paris, one of whom arrives by train from Amsterdam and the other from Brussels at approximately the same time. The probability that the train from Amsterdam will arrive on time is 0.93. The probability that the train from Brussels will arrive on time is 0.89, and the probability that both trains will arrive on time is 0.87. What is the probability that at least one train will arrive on time?A bicycle factory runs two assembly lines, A and B. 93% of line A's products pass inspection and 90% of line B's products pass inspection. 30% of the factory's bikes come off assembly line B and the rest come off line A. Find the probability that one of the factory's bikes did not pass inspection and came off assembly line A. The probability is (Type a decimal. Do not round.)
- You purchase a brand new car for $17,000 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. X P(X)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 centA 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?
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