Question

the graph shows the probability of cardiovascular disease by age and gender. use the graph to find the probability that a randomly selected man between the ages of 45 and 54
a. has cardiovascular disease
b. does not have cardiovascular disease
a. use the graph to estimate the probability that a randomly selected man between the ages of 45 and 54 has cardiovascular disease. this probability is approximately 0.38
(type a decimal to two places.)
b. use the graph to estimate the probability that a randomly selected man between the ages of 45 and 54 does not have cardiovascular disease. this probability is approximately
(type a decimal to two places.)

Explanation:

Step1: Recall the probability formula

The probability of an event \(A\) is \(P(A)\), and the probability of the complement event \(\overline{A}\) (not \(A\)) is \(P(\overline{A})=1 - P(A)\)

Step2: Use the value from part (a)

We know from part (a) that \(P(\text{has cardiovascular disease})=0.38\)

Step3: Calculate the probability of not having the disease

Substitute into the formula \(P(\text{does not have cardiovascular disease})=1 - 0.38\)
\(P(\text{does not have cardiovascular disease}) = 0.62\)

Answer:

\(0.62\)