# Question: 5 5 2 Let X be N 50

5 . 5 - 2 . Let X be N(50, 36). Using the same set of axes, sketch the graphs of the probability density functions of

(a) X.

(b) , the mean of a random sample of size 9 from this distribution.

(c) , the mean of a random sample of size 36 from this distribution.

(a) X.

(b) , the mean of a random sample of size 9 from this distribution.

(c) , the mean of a random sample of size 36 from this distribution.

## Answer to relevant Questions

Let X equal the weight of the soap in a “6-pound” box. Assume that the distribution of X is N(6.05, 0.0004). (a) Find P(X < 6.0171). (b) If nine boxes of soap are selected at random from the production line, find the ...Suppose that the sick leave taken by the typical worker per year has μ = 10, σ = 2, measured in days. A firm has n = 20 employees. Assuming independence, how many sick days should the firm budget if the financial officer ...A die is rolled 24 independent times. Let Y be the sum of the 24 resulting values. 0Recalling that Y is a random variable of the discrete type, approximate (a) P(Y ≥ 86). (b) P(Y < 86). (c) P(70 < Y ≤ 86). If the distribution of Y is b(n, 0.5), give a lower bound for P(|Y/n − 0.5| < 0.08) when (a) n = 100. (b) n = 500. (c) n = 1000. When you purchase “1-pound bags” of carrots, you can buy either “baby” carrots or regular carrots. We shall compare the weights of 75 bags of each of these types of carrots. The following table gives the weights of ...Post your question