Question

1. For a discrete distribution the pmf = x/10   for x = 1, 2, 3, 4....

1. For a discrete distribution the pmf = x/10   for x = 1, 2, 3, 4. What is the expected value for this distribution? Give your answer to four decimal places.

2. The pmf for a discrete distribution is given by p(x) = 1/3 for x = -1, 0, 1. What is the variance of this distribution? Give your answer to four decimal places.

3. You have invented a new procedure for which the outcome can be classified as either a success or failure. The mean for this procedure is six with a variance of 3.6. Find P(X = 4). Give your answer to four decimal places.

4. Hits at a certain website can be successfully modelled as a Poisson process at a mean rate of 20 per hour. What is the probability that there will be five or more minutes before the first hit? Give your answer to four decimal places.

5. The number of sightings of Sasquatch (Bigfoot) per week is 2.5 and follows a Poisson model. What is the standard deviation in the number of sightings per week? Give your answer to two decimal places.

Math   Statistics-And-Probability   
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