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4. In each of the following cases determine whether or not P(x) is a legitimate probability
distribution function of a discrete randon sariable. If it isn't, clearly explain why not. (a)
P(x)=20x2+2x=0,1,2,3 (b) P(x)=25(5x)x=2,3,4 (c) P(x)=152x1x=0,1,2,3,4 5. Suppose that the
number of sales that a tekenarketing salesperson makes in an hour is a random variable X having
the following probability distribution: P(x)=50(x+2)(5x)x=0,1,2,3,4 (a) What is the probability
of at least one sale in an hour? (b) Twenty minutes into the hour, the salesperson has made his
first sale. What is the probability that by the end of the hour he will have made no more than 3
sales? (c) What is the mean number of sales in an hour. In other words, find x

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  • 1. 4. In each of the following cases determine whether or not P(x) is a legitimate probability distribution function of a discrete randon sariable. If it isn't, clearly explain why not. (a) P(x)=20x2+2x=0,1,2,3 (b) P(x)=25(5x)x=2,3,4 (c) P(x)=152x1x=0,1,2,3,4 5. Suppose that the number of sales that a tekenarketing salesperson makes in an hour is a random variable X having the following probability distribution: P(x)=50(x+2)(5x)x=0,1,2,3,4 (a) What is the probability of at least one sale in an hour? (b) Twenty minutes into the hour, the salesperson has made his first sale. What is the probability that by the end of the hour he will have made no more than 3 sales? (c) What is the mean number of sales in an hour. In other words, find x