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You have a lunch appointment with your friend at 12:30 pm. Suppose that your friend will arrive at the meeting place between 12:20 pm and 12:40 pm depending on the traffic condition. You arrived at the meeting place at 12:25 pm and found that your friend is not there yet. What is the probability that you wait for your friend more than 10 minutes? #6. Suppose that X is a continuous random variable with f(x) as the probability density function. It is also known that f(-x) f(x), i.e. the graph of f(x) is symmetric with respect to y-axis. (a) Calculate E(X). (b) If P(X-2) 4 0.1, what is P(-2X <2)? (c) If P(X 1) 0.7, what is P(X-1)? #7. We know that when X-N(,o), ~N(0,1). (a) Suppose that X-N(2, 2). We would like to calculate P(-2 P(-2 You have a lunch appointment with your friend at 12:30 pm. Suppose that your friend will arrive at the meeting place between 12:20 pm and 12:40 pm depending on the traffic condition. You arrived at the meeting place at 12:25 pm and found that your friend is not there yet. What is the probability that you wait for your friend more than 10 minutes? #6. Suppose that X is a continuous random variable with f(x) as the probability density function. It is also known that f(-x) f(x), i.e. the graph of f(x) is symmetric with respect to y-axis. (a) Calculate E(X). (b) If P(X-2) 4 0.1, what is P(-2X <2)? (c) If P(X 1) 0.7, what is P(X-1)? #7. We know that when X-N(,o), ~N(0,1). (a) Suppose that X-N(2, 2). We would like to calculate P(-2 P(-2
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