#3 part a and both part b\'s Suppose that the amount of sugar in a randomly sele

Question

#3 part a and both part b's Suppose that the amount of sugar in a randomly selected piece of Halloween candy Is normally distributed with a mean of 22 g and a variance of 8. What proportion of candy has more than 30 grams of sugar? In a sample of 15 pieces of candy what is the probability that at least one has more than 30 grams of sugar? Only 12.5% of Halloween candy has more than g of sugar. The lifetime (in days) X of a device is a random variable with density function f (x) = 1/40 e^-x/40, x > 0. Find the probability that a component survives nor more than 50 days given as already survived 30 days?

Explanation / Answer

x Normal Mean 22 Var 8 a) P(X>30) z 2.828427 0.0023 b) No of pieces Y is binomial with p = 0.0023 P(Y=1) 15(0.0023)(0.9977)^14 0.033406 12.5% has more than z value = 1.15 x 25.25269 4) integral 30 to 50 of f(x) dx 0.185863

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