When a scientist conducted a genetics experiments with​ peas, one sample of offspring consisted of 907 ​peas, with 705 of them having red flowers. If we​ assume, as the scientist​ did, that under these​ circumstances, there is a 3/4 probability that a pea will have a red​ flower, we would expect that 680.25 ​(or about 680​) of the peas would have red​ flowers, so the result of 705 peas with red flowers is more than expected. a. If the​ scientist's assumed probability is​ correct, find the probability of getting 705 or more peas with red flowers. b. Is 705 peas with red flowers significantly​ high? c. What do these results suggest about the​ scientist's assumption that 3/4 of peas will have red​ flowers? a. If the​ scientist's assumed probability is​ correct, the probability of getting 705 or more peas with red flowers is nothing.

According to estimates by the office of the Treasury Inspector General of IRS, approximately 0.0625 of the tax returns filed are fraudulent or will contain errors that are purposely made to cheat the IRS. In a random sample of 224 independent returns from this year, what is the probability that exactly 10 will be fraudulent or will contain errors that are purposely made to cheat the IRS?   Question 13 options:   1)  0.0653   2)  0.1672   3)  0.8328   4)  0.0326   5)  0.9347

When a scientist conducted a genetics experiments with​ peas, one sample of offspring consisted of 907 ​peas, with 690 of them having red flowers. If we​ assume, as the scientist​ did, that under these​ circumstances, there is a 3/4 probability that a pea will have a red​ flower, we would expect that 680.25 ​(or about 680​) of the peas would have red​ flowers, so the result of 690 peas with red flowers is more than expected. a. If the​ scientist's assumed probability is​ correct, find the probability of getting 690 or more peas with red flowers. b. Is 690 peas with red flowers significantly​ high? c. What do these results suggest about the​ scientist's assumption that 3/4 of peas will have red​ flowers?

In a survey of U.S. adults with a sample size of 2082, 370 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 O. (Round to three decimal places as needed.) (b) Find the probability that neither adult says Franklin Roosevelt was the best president since World War II. The probability that neither adult says Franklin Roosevelt was the best president since World War II is (Round to three decimal places as needed.) (c) Find the probability that at least one of the two adults says Franklin Roosevelt was the best president since World War II. The probability that at least one of the two adults says Franklin Roosevelt was the best president since World War II is.…