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(20 points) Suppose X~N(25, 81). That is, X has a normal distribution with μ-25 and σ-81 la. Find a transformation of X that will give it a mean of zero and a variance of one (ie., standardize X lb. Find the probability that 18 < χ < 26. lc. Supposing Y10 +5X, find the mean of Y ld. Find the variance ofY

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goluon From that ae data. X ha a normal listybulion olth la) Find a transformation of- that-u ill give it a mean of zero and a vaiance of one. 9l : Mean o zero) var (2): ar/ X-25 ) 8l lb 2 26-25 9 D. 326Ic) Given y 05X EC) 2.5 ECy) 135 la 2 var CY)25 var(x)

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