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Let X be random variable with the following probability density function, 2 sin(c) if 0 < 1 < T fx(r) = 0 otherwise Find the mean and variance of X. b. Find the mean and variance of the random variable X2 with the fol- lowing distributions: X ~ N(p,o) (ii) X ~ P(A) (iii) X ~ Expo(A)...

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##### 1 3 1 1 55' 1 1 L K: 9 1 1 1 1 H 1 6 1 01 M! 9 K 1 1 H 1 !1 8 1 9 1 4 2

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##### Thunderstorm Speeds meteorologist who sampled across thunderstorms certain state was 16 miles nour: found that the average speed at which they traveled answers to at least two The standard deviation of the sample was 2.6 miles , decimal places_ per hour: Round the finalPart:Pert 1 of 2Find the 90%0 confidence interva) of the mean; Assume the variable normally distributed_ < H

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