1. Suppose the manufacturer's specițications por the length of a certain typeof computer cable arelikely to be defective as large cable . That is, the probability of randomlyproducing a cable with length exceeding 1010 millimeters is equal to theprobability of producing a cable with length smaler than 990 millimeters ·Thelo00 ± l0 millimeters. It is known that small cable is just aspro loability that the production procedure meets specițications is known tobe0.97a What is the proloaoility that a cable selected rand only is too large?b. What is the po bability that a randomy selected calole is larger than990 millimeters ?

Given that the probability that the production procedure meets specifications = 0.97 ->…

Answered: lo00 ± l0 millime ters. It is known…

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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Q3) Suppose the force acting on a column that helps to support a building is a normally distributed random variable X with mean value 15.0 kips and standard deviation 1.25 kips. Compute the P(X – 15|< 3).
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Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0 degrees * C and standard deviation of 1.00 A single thermometer is randomly selected and tested . What is the probability of obtaining a reading between 0 and 2.076 C ? P(0 < Z < 2.076)=
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A normal random variable X is given with a mean = 22 and a standard deviation o = 17. Give an approximate value of the z such that: Pr(X ≤ 1) = 0.375 Give approximate values of an z and y such that: Pr(y ≤X ≤1) = 0.431. NOTE: For this problem, both z AND y must be FINITE so you can't just take y to -00 and solve the problem akin to what you did in (a). Your strategy here should be to find z and y such that Pr(X ≤1) - Pr(X ≤y) gets as close to 0.431 as you want. Read the Z table and play with the arithmetic!
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An independent random sample is selected from an approximately normal population with an unknown standard deviation. Find the p-value for the given sample size and test statistic. Also determine if the null hypothesis would be rejected at α = 0.05. For each the given set of hypotheses, sample size and the T-statistic,find the p-value, draw a t-curve and shade the region of which the area the p-value indicates. As it’s notpossible to find the precise P-values using a t-table, it suffices to give a range. (a) HA : μ 6= 0.5, n = 26, T = 2.6(b) HA : μ < 3, n = 18, T = −2.2(c) HA : μ < 3, n = 18, T = 2.2

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