# Question

Genetics When Mendel conducted his famous genetics experiments with peas, one sample of offspring consisted of 580 peas, with 428 of them having green pods. If we assume, as Mendel did, that under these circumstances, there is a 3>4 probability that a pea will have a green pod, we would expect that 435 of the peas would have green pods, so the result of 428 peas with green pods is fewer than expected. For the following, assume that the probability of a pea having a green pod is 3>4.

a. Find the probability that among the 580 offspring peas, exactly 428 of them have green pods.

b. The result of 428 peas with green pods is fewer than 3>4 of 580. Find the probability that among the 580 offspring peas, 428 or fewer have green pods. Is the result of 428 peas with green pods unusually low?

c. Which result is useful for determining whether Mendel’s claimed rate of 75% is incorrect: part (a) or part (b)? Explain.

d. Is there strong evidence to suggest that Mendel’s probability of 3>4 is wrong?

a. Find the probability that among the 580 offspring peas, exactly 428 of them have green pods.

b. The result of 428 peas with green pods is fewer than 3>4 of 580. Find the probability that among the 580 offspring peas, 428 or fewer have green pods. Is the result of 428 peas with green pods unusually low?

c. Which result is useful for determining whether Mendel’s claimed rate of 75% is incorrect: part (a) or part (b)? Explain.

d. Is there strong evidence to suggest that Mendel’s probability of 3>4 is wrong?

## Answer to relevant Questions

College poll of 1004 adults, 291 chose professional athlete as their dream job. Assume that 25% of adults consider being a professional athlete their dream job. a. The result of 291 is more than 25% of 1004, so find the ...Based on a recent Harris Interactive survey, 20% of adults in the United States smoke. In a survey of 50 statistics students, it is found that 6 of them smoke. Find the probability that should be used for determining whether ...Standing eye heights of women are normally distributed with a mean of 1516 mm and a standard deviation of 63 mm (based on anthropometric survey data from Gordon, Churchill, et al.). a. A door peephole is placed at a height ...There is an 80% chance that a prospective employer will check the educational background of a job applicant (based on data from the Bureau of National Affairs, Inc.). Sixty-four job applications are randomly selected. a. ...Froma KRC Research poll in which respondents were asked if they felt vulnerable to identify theft: n = 1002, x = 531 who said “yes.” Use a 95% confidence level. Use the given sample data and confidence level. In each ...Post your question

0