Question
1. By rewriting the formula for the Multiplication Rule, you can write a formula for finding conditional probabilities. The conditional probability of event B occurring,
1. By rewriting the formula for the Multiplication Rule, you can write a formula for finding conditional probabilities. The conditional probability of event B occurring, given that event A has occurred, is P(BA)=P(AandB)P(A).
Use the information below to find the probability that a flight arrives on time given that it departed on time.
The probability that an airplane flight departs on time is 0.91.
The probability that a flight arrives on time is 0.86.
The probability that a flight departs and arrives on time is 0.83.
The probability that a flight arrives on time given that it departed on time is
2.
Perform the indicated calculation. B 12 63 8 3 12 43 Round to the nearest thousandth as needed.)The accompanying table shows the numbers of male and female students in a particular country who received bachelor's degrees in business in a recent year. Complete parts (a) and (b) below. Click the icon to view the data on business degrees. (a) Find the probability that a randomly selected student is male, given that the student received a business degree. The probability that a randomly selected student is male, given that the student received a business degree, isThe accompanying table shows the results of a survey in which 250 male and 250 female workers ages 25 to 64 were asked if they contribute to a retirement savings plan at work. Complete parts (a) and (b) below. Click the icon to view the survey results. . . . (a) Find the probability that a randomly selected worker contributes to a retirement savings plan at work, given that the worker is male. The probability that a randomly selected worker contributes to a retirement savings plan at work, given that the worker is male, is (Round to three decimal places as needed.)In a survey of U.S. adults with a sample size of 2023, 301 said Franklin Roosevelt was the best president since World War II. Two U.S. adults are selected at random from this sample without replacement. Complete parts (a) through (d). . . . (a) Find the probability that both adults say Franklin Roosevelt was the best president since World War II. The probability that both adults say Franklin Roosevelt was the best president since World War II is (Round to three decimal places as needed.)By rewriting the formula for the multiplication rule, you can write a formula for finding P(A and B) conditional probabilities. The conditional probability of event B occurring, given that event A has occurred, is P(B| A) = P(A) Use the information below to find the probability that a flight departed on time given that it arrives on time. The probability that an airplane flight departs on time is 0.89. The probability that a flight departed on time given that it arrives on time is (Round to the nearest thousandth as needed.)By rewriting the formula for the multiplication rule, you can write a formula for finding P(A and B) conditional probabilities. The conditional probability of event B occurring, given that event A has occurred, is P(B| A) = P(A) Use the information below to find the probability that a flight departed on time given that it arrives on time. The probability that an airplane flight departs on time is 0.89. The probability that a flight departed on time given that it arrives on time is (Round to the nearest thousandth as needed.)Step by Step Solution
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