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stat quiz 1 prep

# stat quiz 1 prep - 7 the times in seconds taken by an...

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7. the times in seconds taken by an athlete to run 400 m on 7 successive days were: 53.2, 55.7, 54.2, 53.6, 59.3, 54, and 53.7 find the mean, median and standard deviation of the times mean= (53.2+55.7+ 54.2+53.6+59.3+54+ 53.7)/7=54.81 sd=2.132 median=4 th #=54 keep two decimals, or as many as possible 6. I travel to work by route A or route B. the probability that I choose route A is ¼. The probability that I am late for work if I go via route A is 2/3 and the corresponding probability if a go via route B is 1/3 a). what is the probability that I am late for work on Monday? ¼ * 2/3 +3/4 *1/3 =5/12 b). given that I am late for work, what is the probability that I went via route B? P (B | late)= (3/4 *1/3)/ (5/12)=3/5 5. a discrete R.V. x has the following probability distribution and can only take the values tabulated x 1 3 6 n 12 P(x) .1 .3 k .25 .15 a) find the value of k k =0.2 b) given that E(X)=6, find 1) the value of n 8 2) the variance of X 11.6 3) E(4X) 24 4) Var(4X) 16*11.6=185.6 5) Sd(4X) 13.62 4. a factory produces a particular type of electronic component. The probability of a component being acceptable is 0.95. the components are packed in boxes of 8.

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