Savita and Hamida are friends.What is the probability that both will have (i) The same birthday ? (i) different Birthdays? (ignoring aleap year).
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- (b)Find the probability that exactly 8 of the flights were on time. The probability that exactly 8 of the flights were on time is?The flu test is 100% positive when flu is present. It gives a false positive in 10% of the tests when the flu is not present. If 1% of the population has this flu, what is the probability that someone has flu given that his test is positive?Suppose the probability of snow tomorrow is 0.4 while the probability of IU winning the basketball game tomorrow is 0.9. Assuming these events are independent, what is the probability that it snows and IU loses?
- In a family with three children what is the probability that the oldest two children are girls assuming that the probability of boy being born is same as that of girl being bornSuppose that Stephen makes 95% of his free throws. Assume that late in a basketball game, he is fouled and is awarded two shots. (a) What is the probability that he will make both shots? (b) What is the probability that he will make at least one shot? (c) What is the probability that he will miss both shots? (d) Late in a basketball game, a team often intentionally fouls an opposing player in order to stop the game clock. The usual strategy is to intentionally foul the other team's worst free- throw shooter. Assume that Stephen's team's center makes 57% of his free-throw shots. Calculate the probabilities for the center as shown in parts (a), (b), and (c). Assume as in parts (a), (b), and (c) that two shots will be awarded. P(center makes two shots) = P(center makes at least one shot) = P(center misses both shots) =A physics class has 50 students. Of these, 11 students are physics majors and 16 students are female. Of the physics majors, three are female. Find the probability that a randomly selected student is female or a physics major. The probability that a randomly selected student is female or a physics major is (Round to three decimal places as needed.) ******************
- Studies show that historically a certain city is hit by a tornado about once every 5 years. What is the probability that the city will be hit by a tornado in two consecutive years?Find 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.If two people are selected at random, the probability that they do not have the same birthday (day and month) is 365/365, 364/365. Explain why this is so. (Ignore leap years and assume 365 days in a year.)
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