= 5. (10 points) Let Y be normally distributed with population mean wuy = 2 and population standard deviation oy = 3. (a

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5 10 Points Let Y Be Normally Distributed With Population Mean Wuy 2 And Population Standard Deviation Oy 3 A 1 (112.53 KiB) Viewed 29 times

= 5. (10 points) Let Y be normally distributed with population mean wuy = 2 and population standard deviation oy = 3. (a) (2 points) What is P(Y <8)? (b) (2 points) What is P(4<Y < 8)? (c) (2 points) What is P(Y > 10)? (d) (2 points) Find a constant a such that P(Y <a) = 0.95. (c) (2 points) If six random variables with this probability distribution are observed, what is the probability that exactly four of them are less than 8? = Note: It is o.k. to use R to evaluate your solution; but make sure that you include a "snip- and-paste” copy of your R code and solution.