If we draw one card from a 52 card deck, write down the probability: (4 Points)...

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If we draw one card from a 52 card deck, write down the probability: (4 Points) That it is red? (1 Point) That it is a diamond? (1 Point) C. That it is an ace? (1 Point) d. That it is the ace of diamonds? (1 Point) a. b. (2) Consider a pair of dice which is rolled once. Compute the probabilities that the sum is equal to each of the integers 2 through 12. (11 Points) (3) Use @Risk to generate a Normal Distribution with a mean of 10 and a Standard Deviation of 2. Show each graph respectively that displays the area and its percentage within: (9 Points) a. +/- One standard deviation (3 Points) b. +/- Two standard deviations (3 Points) C. +/- Three standard deviations (3 Points) (4) Use the above Normal Distribution, what is the probability of P(8.5 ≤X ≤ 13.5)? (1 Point) Submit your solution including the answers from (1) to (4). If we draw one card from a 52 card deck, write down the probability: (4 Points) That it is red? (1 Point) That it is a diamond? (1 Point) C. That it is an ace? (1 Point) d. That it is the ace of diamonds? (1 Point) a. b. (2) Consider a pair of dice which is rolled once. Compute the probabilities that the sum is equal to each of the integers 2 through 12. (11 Points) (3) Use @Risk to generate a Normal Distribution with a mean of 10 and a Standard Deviation of 2. Show each graph respectively that displays the area and its percentage within: (9 Points) a. +/- One standard deviation (3 Points) b. +/- Two standard deviations (3 Points) C. +/- Three standard deviations (3 Points) (4) Use the above Normal Distribution, what is the probability of P(8.5 ≤X ≤ 13.5)? (1 Point) Submit your solution including the answers from (1) to (4).

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