hailm dieuhulion sketch und find each ol statard ic thee ranlm variable following probabilities

Name: hailm dieuhulion sketch und find each ol statard ic thee ranlm variable following probabilities 12 points nz2d r0 z32 rz 2 15 weekly demand at grocery store for brand of breakfast cereal is 10936
Uploaded: 2021-11-13T20:18:13-08:00
Duration: 6 min 34 s
Channel: David Nguyen
Description: hailm dieuhulion sketch und find each ol statard ic thee ranlm variable following probabilities 12 points nz2d r0 z32 rz 2 15 weekly demand at grocery store for brand of breakfast cereal is 10936

1. We are given that the weekly demand for the cereal is normally distributed with a mean of 800

Hailm dieuhulion sketch und find each ol statard ic thee...

HAILM dieuhulion sketch and find each ol standard IC the random variable following probabilities: (12 points) nz2d R0 < z32) Rz 2-1.5) Weekly demand at grocery store for brand of breakfast cereal is normally distributed with a mean of 800 boxes and standard deviation of 75 boxes. What is the probability that weekly demand is (15 points) 980 boxes or less? More than 1004 boxes? 2. The store orders cereal from distributor weekly. How many boxes should the store order for week to have only a 2.5 percent chance of running short of this brand of cereal during the week?

Transcript

00:01 Hi, i'm david and i'm here to have you answer your question.

00:03 Now let me bring up your question here.

00:06 In this question we discuss about the normal distribution.

00:09 Let me remind you that it will have the x followed by the normal, muo and sigma, and then it will tend the x minus the mean over standard deviation, it will follow by the standard normal.

00:21 In this question here we're given the x followed by the normal where the mean it will equal to the 800, standard division equal to the 75 and in the part i am the question as we'll let you find the probability that the x here will be less than or equal to the 959 now we need to use this formula here to convert the x into the z so we need to turn the 959 minus the mean divided by standard deviation so if we compute it we get the z much smaller than 159 divided by 75 will be 2 .1 2.

01:08 This probability is equal to 1 minus probability the z greater than 2 .12 by the complement.

01:17 Now by symmetry that probability can be written as the z smaller than minus 2 .112 and we we can use the z table to compute this value.

01:28 So let me bring up the z table for you.

01:32 And i will show you how to use the z table here.

01:38 Let me put the table on the right there.

01:40 So we have the 1 minus z, small and then minus 2 .1 will be here and 2 will be here.

01:47 So the corresponding probability will be 0 .170.

01:53 If we compute, we get equal to the 0 .9, 8 ,000.

01:59 3 and that's going to be the answer for the part a on the question.

02:05 Now for the part p, when you find the probability that x will be more than 1004.

02:13 Again we will turn the x into the z...

Question

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