5.5-4. 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 probability that at most two boxes weigh less than 6.0171 pounds each. HINT: Let Y equal the number of boxes that weigh less than 6.0171 pounds. (c) Let X be the sample mean of the nine boxes. Find P(X ≤ 6.035).

5.5-4. 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 probability that at most two boxes weigh less than 6.0171 pounds each. HINT: Let Y equal the number of boxes that weigh less than 6.0171 pounds. (c) Let X be the sample mean of the nine boxes. Find P(X ≤ 6.035).

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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