(a) In a family of six children, what is the probability that there will not be a male child? (b) What is the probability that there will be at least one male child?
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- (a) In a family of six children, what is the
probability that there will not be a male child?
(b) What is the probability that there will be at least one male child?
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- 3 An animal shelter has a 61% adoption rate for puppies. Of all puppies in the shelter, 77% live to be 7 years or older. Of the puppies who are adopted, 85% live to be 7 years or older. What is the probability that a randomly selected puppy in the shelter will get adopted and livé 7 or more years?What is the likelihood of a randomly selected student in a school of 500 having both a parent who is a doctor and a parent who is a lawyer, given that 10% of the parents in the school are doctors, 15% are lawyers, and 3% are both doctors and lawyers? How can the probability be calculated using the formula for conditional probability?A math class consists of 15 students, 5 female and 10 male. Three students are selected at random, one at a time, to participate in a probability experiment (selected in order without replacement).(a) What is the probability that a male is selected, then two females? (b) What is the probability that a female is selected, then two males? (c) What is the probability that two females are selected, then one male? (d) What is the probability that three males are selected? (e) What is the probability that three females are selected?
- A math class consists of 35 students, 25 female and 10 male. Three students are selected at random, one at a time, to participate in a probability experiment (selected in order without replacement). (a) What is the probability that a male is selected, then two females? (b) What is the probability that a female is selected, then two males? (C) What is the probability that two females are selected, then one male? (d) What is the probability that three males are selected? (e) What is the probability that three females are selected?A baseball player hit 72 home runs in a season. Of the 72 home runs, 25 went to right field, 24 went to right center field, 12 went to center field, 10 went to left center field, and 1 went to left field. (a) What is the probability that a randomly selected home run was hit to right field? (b) What is the probability that a randomly selected home run was hit to left field? (c) Was it unusual for this player to hit a home run to left field? Explain. (a) The probability that a randomly selected home run was hit to right field is (Round to three decimal places as needed.) (b) The probability that a randomly selected home run was hit to left field is (Round to three decimal places as needed.) (c) Was it unusual for this player to hit a home run to left field? O A. No, because the probability of an unusual event is 0. O B. Yes, because P(left field) < 0.05. OC. Yes, because P(left field) < 0.5. O D. No, because this player hit 1 home runs to left field.A baseball player hit 62 home runs in a season. Of the 62 home runs, 19 went to right field, 22 went to right center field, 11 went to center field, 8 went to left center field, and 2 went to left field. (a) What is the probability that a randomly selected home run was hit to right field? (b) What is the probability that a randomly selected home run was hit to left field? (c) Was it unusual for this player to hit a home run to left field? Explain. (a) The probability that a randomly selected home run was hit to right field is (Round to three decimal places as needed.) (b) The probability that a randomly selected home run was hit to left field is (Round to three decimal places as needed.) (c) Was it unusual for this player to hit a home run to left field? O A. Yes, because P(left field) < 0.05. O B. No, because the probability of an unusual event is 0. O C. Yes, because P(left field) < 0.5. O D. No, because this player hit 2 home runs to left field.
- A survey was made of 100 customers in a department store. Sixty of the 100 indicated theyvisited the store because of a newspaper advertisement. The remainder had not seen the ad.A total of 40 customers made purchases; of these customers, 30 had seen the ad.(a) What is the probability that a person who did not see the ad made a purchase?(b) What is the probability that a person who saw the ad made a purchase?A hand of 5 cards is dealt to each of three players from a standard deck of 52 cards.(a)What is the probability that one of the players receives all four Aces?(b)What is the probability that at least one player receives no hearts?