4. The table shows the approximate probabilities that a randomly selected adult Canadian male has (or hasn't) high blood pressure and has (or hasn't) high cholesterol. Blood Pressure High OK Total Cholesterol High 0.11 0.21 0.32 OK 0.16 0.52 0.68 Total 0.27 0.73 1.00 a) What is the probability that a man has both conditions? b) What is the probability that he has high blood pressure? c) What is the probability that a man with high blood pressure has high cholesterol? d) What is the probability that a man has high blood pressure if it's known that he has high cholesterol? 5. A certain bowler can bowl a strike 70% of the time. What is the probability that shea) Goes three consecutive frames without strike? b) Make her first strike in the third frame? c) Has at least one strike in the first three frames? d) Bowls a perfect game (12 consecutive strikes)? 6. Find the expected value of each random variable: X 10 20 30 P(X=x) 0.3 0.5 0.2 b) X 2 3 4 5 V P(X=x) 0.3 0.4 0.2 Copy 0.1 @ MeMaster c) Find the standard deviation of the random variables in part(a). d) Find the standard deviation of the random variables in part(b)