Suppose that the weights of all packages of corn flour are normally distributed with a mean of 1000 grams and a standard deviation of 20 grams. Find the probability that a randomly selected package will have weight between 970.6 grams and 1022.6 grams. (i) (ii) 2.5% of the packages are more than k grams. Find the value of k. A random sample of 25 packages is selected. Let X be the sample mean weight. (iii) Find the sampling distribution of X. (iv) Find the probability that the mean weight will be more than 993 grams.

Suppose that the weights of all packages of corn flour are normally distributed with a mean of 1000 grams and a standard deviation of 20 grams. Find the probability that a randomly selected package will have weight between 970.6 grams and 1022.6 grams. (i) (ii) 2.5% of the packages are more than k grams. Find the value of k. A random sample of 25 packages is selected. Let X be the sample mean weight. (iii) Find the sampling distribution of X. (iv) Find the probability that the mean weight will be more than 993 grams.

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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