A family has four children. What is the probability that exactly 3 of the children are girls? In this problem, let X = number of female children.  How many different combinations are there of having three girls in a family of four children? What is the probability of one of these combinations occurring? Report your answer to four decimal places. Putting the answers to the previous two questions together, what is P(X=3), the probability that a family of four has three girls? Report your answer to two decimal places.

Q: . What is the probability that Y<1.5 given X=0?

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Q: If a seed is planted, it has a 95% chance of growing into a healthy plant. If 11 seeds are…

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Q: The probability of success in the C.A. examination is 20%. If 20 batches of 5 students each take the…

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Q: A die is weighted in such a way that each of 2, 4, and 6 is twice as likely to come up as each of 1,…

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Q: In testing a new drug, researchers found that 5% of all patients using it will have a mild side…

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Q: A coin is loaded so that the probability of heads is 0.7 and the probability of tails is 0.3.…

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Q: Suppose a math class contains 40 students, 17 females (three of whom speak French) and 23 males…

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A: Conditional probability:  Let A and B be two events related to a random experiment. Then the…

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Q: Suppose that a policeman with a radar gun is watching traffic pass on a street where it is the case…

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Q: 2. For this problem, be sure to show the calculations you are making in addition to your final…

A: It is given:

Q: For An observer stands at an overpass of a highway and counts the vehicles that pass by. He stops…

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Q: Suppose 10% of the people who are given a certain drug experience dizziness as a side effect.  If 15…

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A: By using Poisson distribution:

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Q: In a large population, 64% of the people have been vaccinated. If 3 people are randomly selected,…

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Q: A coin is loaded so that the probability of heads is 0.55 and the probability of tails is 0.45.…

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Q: In a recent year, there were 2,515,458 deaths, and 787,650 of them were due to cardiovascular…

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Q: A pharmacist receives a shipment of 18 bottles of a drug and has 3 of the bottles tested. If 5 of…

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Q: If a "fair" coin is tossed 1,000,000 times, one would expect the probability (not the number of…

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Q: If you get a positive identification from a caller on this test, what is the probability that he…

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Q: If the probability is 0.75 that an applicant for a driver’s license will pass the road test on any…

A: Given Data Probability of success,p = 0.75 )

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