2. (3 points, total) Your basketball team travels every Saturday during the winter, and you are...

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2. (3 points, total) Your basketball team travels every Saturday during the winter, and you are wondering how snow might impact your next four trips. Historically, on any given day in the winter, there is a 7% chance that snow would impact travel on that day. Let X be the random variable that counts the number of trips that are impacted by snow. (a) (1/2 point) What is the expected value of X, i.e. what is the number of days during which you would expect snow to impact travel? (b) (1/2 point) What is the standard deviation of X? (c) (2 points) What is the probability that snow will impact travel on at least half of your next four trips? (Your answer cell should involve an Excel formula that 'shows work' of where answer comes from.) 2. (3 points, total) Your basketball team travels every Saturday during the winter, and you are wondering how snow might impact your next four trips. Historically, on any given day in the winter, there is a 7% chance that snow would impact travel on that day. Let X be the random variable that counts the number of trips that are impacted by snow. (a) (1/2 point) What is the expected value of X, i.e. what is the number of days during which you would expect snow to impact travel? (b) (1/2 point) What is the standard deviation of X? (c) (2 points) What is the probability that snow will impact travel on at least half of your next four trips? (Your answer cell should involve an Excel formula that 'shows work' of where answer comes from.)