Question 15 (5 points)

Question 15 options:

In a survey of 100 people, 40 were casual drinkers (event D), and 60 did not drink (event D ' ). Of the ones who drank, 6 had minor headaches. Of the non-drinkers, 9 had minor headaches.

Let D represent set of surveyed people who were casual drinkers and D' represent those who did not drink.Let H represent set of surveyed people who reported having had minor headaches, and H ' represent the set of those who did not have minor headaches

.

a.Find P(D)(the probability that a single randomly-selected survey respondent was a casual drinker)

Enter answer as a fraction in simplest terms or as a decimal rounded to the nearest thousandth (three places after the decimal).Examples of correctly entered responses:

1/33/715/280.3470.0040.0300.5001.000

b.Find P(H)(the probability that a single randomly-selected survey respondent reported having minor headaches)

Enter answer as a fraction in simplest terms or as a decimal rounded to the nearest thousandth (three places after the decimal).Examples of correctly entered responses:

1/33/715/280.3470.0040.0300.5001.000

c.Find P (D H)(the probability that a single randomly-selected survey respondent was a casual drinker AND reported having minor headaches)

Enter answer as a fraction in simplest terms or as a decimal rounded to the nearest thousandth (three places after the decimal).Examples of correctly entered responses:

1/33/715/280.3470.0040.0300.5001.000

d.Are the events "drinkers" (D) and "had headaches" (H) independent?Determine which of the following statements is correct:

A.Events D and H are mutually exclusive

B.Events D and H are independent

C.Events D and H are not independent

D.Events D and H are both mutually exclusive and independent

Enter letter of statement you think is correct