1. (9 points) A bag contains 5 yellow M&M's and 10 green M&M's. Suppose M&M's are drawn, one at a time without replacement. Round your answer to three decimal places as necessary.

A. (3 points) What is the probability that thefirstM&M drawn is green?

B. (3 points) Given that the first M&M drawn is yellow, what is the probability that thesecondM&M drawn is green?

C. (3 points) Given that the first M&M drawn is green, what is the probability that thesecondM&M drawn is yellow?

2. (9 points) In a recent study, the Center for Disease Control and Prevention reported that diastolic blood pressures of adult women in the United States are normally distributed with a mean = 79.2 and standard deviation = 8.5.The diastolic blood pressures of adult men in the United States are normally distributed with a mean = 81 and standard deviation = 10.1.Round your answer to two decimal places as necessary.

A. (3 points) What is the value of the z-score for an adult woman with a diastolic blood pressure of 97?

B. (3 points) What is the value of the z-score for an adult man with a diastolic blood pressure of 97?

C. (3 points) Relative to peers of the same gender, would a diastolic blood pressure of 97 be more alarming for a woman or man? Explain.