c. Assuming that all sample space outcomes are likely, find the probability of each of the events given in part b.
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| 2.John and Jane are married. The probability that John watches a certain television show is .4. The probability that Jane watches the show is .5. The probability that John watches the show, given that Jane does, is .7. |
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| a. Find the probability that both John and Jane watch the show. |
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| b. Find the probability that Jane watches the show, given that John does. |
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| c. Do John and Jane watch the show independently of each other? Justify your answer.
| 3.Suppose that the probability distribution of a random variable x can be described by the formula p(x) = x/15 |
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| for each values x = 1,2,3,4 and 5. For example, then, P(x=2)=p(2)=2/15. |
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| a. Write out the probability distribution of x. |
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| b. Show that the probability distribution of x satisfies the properties of a discrete probability distribution. |
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| c. Calculate the mean of x. |
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d. Calculate the variance, o (o to 2nd power), then x on bottom right, and the standard deviation, o (x to bottom right).
| 6.22(a) |
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| 4.In each case, sketch the two specified normal curves on the same set of axes: |
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| a. A normal curve with u=20 and o=3, and a normal curve with u=20 and 0=6. |
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