.Find the following probabilities if the probability that it is windy is 0.4 .A- The weather should be overcast and windy b - The weather should be overcast and not windy. .C- That the weather is not overcast and not windy
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- Handwritten onlyYou 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)Answers must be in 4 decimals If the probabilities that a computer technician will repair 3,4,5,6,7, or 8 or more laptops on any given workday are 0.12, 0.19, 0.28, 0.24, 0.10, and 0.07, respectively, what is the probability that he will service more than 5 laptops on his next day at work?
- Suppose that the probability that a child living in an urban area in the United States is obese is 20%. If a social worker sees 15 children living in urban areas, what is the probability that 5 are obese? Enter response as .xxxxYou 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 cent2. The probability that it will rain today is 50%. The probability that it will rain tomorrow is 60%. There is a 30% probability that it will rain both days. What is the probability that it will rain either today or tomorrow?
- Which of the following values cannot be probabilities? 00, negative 0.45−0.45, 0.050.05, 5 divided by 35/3, 3 divided by 53/5, 11, StartRoot 2 EndRoot2, 1.46Find the probability that when a couple has five children, at least one of them is a girl. (Assume that boys and girls are equally likely.) The probability is ? that at least one of the five children is a girl.The probability that the first record of a singing group will be a hit is 0.48. If their first record is a hit, so are all their subsequent records. If their first record is not a hit, the probability of their second and all subsequent ones being hits is 0.24. If the first two records are not hits, the probability that the third is a hit is 0.12. Find the probability that a group has exactly 2 hits in their first three records. P(exactly 2 hits in first three records) = (Simplify your answer. Type an integer or a decimal. Round to 6 places.)
- suppose that an airline has two flights each day from Toronto to Winnipeg; one scheduled at 9am and the other at 3pm. On any given day, the probability that the 9am flight departs on time is .81the probability that the 3pm flight departs on time is .68. The probability that neither depart on time is .21. Find the probability that the 3p flight does not depart on time. Find the probability that both flights depart on time. Find the probability that exactly one of the two flights depart on time. Full explanation (not too complicated) would be awesomeLet A and B be two events such that the probability of B is 0.5 and the probability of both is 0.2. Find the probability of A given that B occurs.Q.2 the probability that a missile hit the target is 0.90. If three missile of this type has been fired. Find the probability that (i) at least 2 hit the target. (ii) Exactly two hit the target.