Randomly sample 256 items from a population where individuals have a normal distribution with mean of 250 and a standard deviation of 80, find the following probability rounded to 4 decimal places. 230 235 240 z = -4 z = -2 P(Z < 252.4) 245 250 z = 0 255 260 265 z = 2 270 Z =

Randomly sample 256 items from a population where individuals have a normal distribution with mean of 250 and a standard deviation of 80, find the following probability rounded to 4 decimal places. 230 235 240 z = -4 z = -2 P(Z < 252.4) 245 250 z = 0 255 260 265 z = 2 270 Z =

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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Question

100%

Randomly sample 256 items from a population where individuals have a normal distribution with a
mean of 250 and a standard deviation of 80, find the following probability rounded to 4 decimal
places.
230 235 240
z = -4
z = -2
P(Z < 252.4)
245
250
z = 0
255 260 265
z = 2
270
Z =

Expert Solution

Step 1: Introduce the given information

Given,

Sample size, n = 256

Mean, μ = 250

Standard deviation, σ = 80

Using formula,

$Z minus s c o r e equals fraction numerator x with bar on top minus mu over denominator fraction numerator sigma over denominator square root of n end fraction end fraction$

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