5. Suppose I'm playing a game where I have a 35% chance to win each time. What is the expected number of times I would win if I played the game 30 times? What is the standard deviation? 6. If I played the game in problem 5, would it be unusual for me to win 20 out of 30 times? Explain how you arrived at your answer using the range rule of thumb. A simple yes or no will receive no credit. 7. I'm considering buying an airplane. How high must the door be so that only the tallest 10% of males will have to bend down to enter the plane? The heights of males have a normal distribution with a mean of 68.6 inches and a standard deviation of 2.8 inches.

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