Let x be the number of successes observed in a sample of n=5 items selected from a population of N=10, Suppose that of the N= 10 itmes, M-6 are considered "succeses." Find the probabilities of the following: a. The probability of observing no successes. b. The probability of observing exactly two successes. c. The probability of observing at least two successes.

A person draws a card from a hat. Each card is one color, with the following probabilities of being drawn: 1/25 for pink, 1/10 for blue, 1/20 for red, and 1/15 for yellow. What is the probability of pulling a blue or red card, written as a reduced fraction?

The Wilson family had 9 children. Assuming that the probability of a child being a girl is 0.5, find the probability that the Wilson family had: at least 6 girls? At most 4 girls?

The Jones family was one of the first to come to the U.S. They had 9 children. Assuming that the probability of a child being a girl is .5, find the probability that the Jones family had: at least 6 girls? at most 7 girls?

The athletic department of a school has 13 full-time coaches, and 4 of them are female. The director selects two coaches at random from this group. The probability (to three decimal places) that neither of them is a female is:

The accompanying table describes results from groups of 8 births from 8 different sets of parents. The random variable x represents the number of girls among 8 children.   A. Find the probability of getting exactly 1 girl in 8 births. B. Find the probability of getting 1 or fewer girls in 8 births. C. Which probability is relevant for determining whether 1 is a significantly low number of girls in 8​ births: the result from part​ (a) or part​ (b)? A. Since the probability of getting 1 girl is the result from part​ (a), this is the relevant probability.   B.Since the probability of getting 0 girls is less likely than getting 1​ girl, the result from part​ (a) is the relevant probability.   C.Since getting 0 girls is an even lower number of girls than getting 1​ girl, the result from part​ (b) is the relevant probability. This is the correct answer.   D.Since the probability of getting more than 1 girl is the complement of the result from part​ (b), this is the relevant…

According to a recent study, 3 in every 8 women has been a victim of domestic abuse. This probability was obtained from a survey of 1,000 adult women. Suppose we randomly sample 25 women and find that 7 have been abused. Complete parts a through c below. G a. What is the probability of observing 7 or more abused women in a sample of 25 if the proportion p of women who are victims of domestic abuse is really p= ㅎ? The probability of observing 7 or more abused women in a sample of 25 is (Round to four decimal places as needed.)

For the event of rolling three standard fair 6-sided dice, find the following probabilities: a. The probability of rolling a sum of 8 or a sum of 12 b. The probability of rolling at least a sum of 8 and at most a sum of 13 c. The probability of rolling at least one 4, given the sum of all three dice is 7

L American Airlines' flights from Chicago to Atlanta are on time 60 % of the time. Suppose 14 flights are randomly selected, and the number on-time flights is recorded. 1.The probability that at least 2 flights are on time is %3D 2.The probability that at most 2 flights are on time is 3.The probability that exactly 7 flights are on time is = > Next Question MacBook Pro %23 & 24 3.