STAT 400 Midterm: STAT400_BOYLE-M_SPRING2004_0101_MID_EXAM_1

• School: University of Maryland
• Department: Statistics and Probability
• Course: STAT 400
• Professor: All

Document Summary

Put a box around the nal answer to a question: (20 points) ten percent of all visitors to a certain park litter. Estimate the probability that, out of the next 200 visitors to the park, at least 25 litter. Give your answer in terms of the cumulative distribution function of the stan- dard normal distribution: (20 points) suppose a random variable x has uniform distribution on the inter- val [1, 3]. Compute e(x 4): (20 points) a certain thermometer reading has normal distribution with mean. And standard deviation , where is the actual temperature. Suppose the components fail independently; an individual component"s lifetime has an ex- ponential distribution; and the expected lifetime of a component is 100 months. (a) (15 points) suppose t > 0. 3 radioactive events in the rst half hour, then i expect to see one radioactive event in the second half hour. (c) let a random variable x have cumulative distribution function.