The article "SUVs Score Low in New Federal Rollover Ratings" (San Luis Obispo Tribune, January 6. 2001) gave information on death rates for various kinds of accidents by vehicle type for accidents reported to the police. Suppose that we randomly select an accident reported to the police and consider the following events: R = event that the selected accident is a single-vehicle rollover. F = event that the selected accident is a frontal collision, and D = event that the selected accident results in a death Information in the article indicates that the following probability estimates are reasonable.
P(R) = .06, P (F) = .60, P (RID) = .30, P (FID) = .54
a. Interpret the value of P (R1D).
b. Interpret the value of P (F|D)
c. Are the events P and D independent Justify your answer?
d. Is P (F(D) = P(F)P(D)? Explain why or why not.
e. is F = RC? Explain how you can tell.