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Consider the random variable T which has the following distribution: Value Probability 3 0.5 6 0.1 7 0.25 10 0.1 15 0.05 a) Graph the distribution of T. b) Compute the expected value of T. c) Compute the standard deviation of T. d) Compute P (3 ? T ? 10). e) Compute P (T ? 5). 2. The demand for a new product is estimated to be normally distributed with =200 and =40. Let x be the number of units demanded, and find the following probabilities: a) P (180 < x < 220) b) P (x > 250) c) P (x < 100) d) P (225 < x < 250)

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