Question 7:A machine produces products with an average 4% rejects. If a random sample of 5 components is takendetermine the probability that it contains:a. no rejectsb. less than 2 rejectsQuestion 8:

To solve this problem, Binomial distribution should be used. Binomial distribution has a probability…

Answered: Question 7: A machine produces products…

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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A test of 100 motor is done to determine the defective motors. The probability that a motor is defective is 0.035. The motors defects are independent random variable. The probability that exactly two motors are defective given that the number of defective motors is two or fewer is: Select one: а. 0.4773 b. 0.5846 c. 0.5364 d. 0.3127 е. 0.404
Three items are drawn in randomly from a population of 7 items. The item drawn may be defective or non-defective. Random variable is the occurrence of non-defective items. Total defective items in the population are two.a. Make a frequency distribution table of the random variable. b. Find the expected value of non-defective items in the random experiment.
When two births are randomly selected, the sample space for genders is bb, bg. gb, and gg. Assume that those four outcomes are equally likely. Construct a table that describes the sampling distribution of the sample proportion of girls from two births. Does the mean of the sample proportions equal the proportion of girls in two births? Does the result suggest that a sample proportion an unbiased estimator of a population proportion? For the entire population, assume the probability of having a boy is the probability of having a girl is , and this is not affected by how many boys or girls have previously been born. 2 Determine the probabilities of each sample proportion. Probability Sample proportion of girls Tune intanare or cimnlifiad frartinne
ll 36 l 12% 7 15:04 4G .. Question One: (a) If 4 balanced coins are tossed simultaneously (or 1 balanced coin is tossed 4 times), compute the entire probability distribution and plot it. (b) Compute and plot the probability distribution for a sample of 5 items taken at random from a production process known to produce 30% defective items.
The probabilities of all the values of a random variableX must: OA. average to a small and negative number. OB. add up to 1. OC. average to 0. D. none of the above,
A test of 100 motor is done to determine the defective motors. The probability that a motor is defective is 0.03. The motors defects are independent random variable. The probability that exactly two motors are defective given that the number of defective motors is two or fewer is: Select one: a. 0.5364 b. 0.3127 C. 0.5846 d. 0.404 е. 0.4773
Given n independent policyholders with individual loss random variables X1, X2, ., Xn, such that the expected value of any policyholder's loss is pph and the variance is o. If the insurer is providing these n policyholders with insurance, find the following (the detailed steps are required): 1. The expected value of the insurer's average loss per policy; 2. The variance of the average loss per policy.
An insurance company covers 100$ per day for up to three days staying in a hospital, and 50$ per day for any day after the first three days if any. The number of days the patients used to stay in the hospital is a random variable with PMF: 6-k k = 1, 2, 3, 4, 5 Px(k) =. 15 else the expected amount the company will pay is: Select one: а. 220 b. 230 c. 166.67 d. 233.33 е. 200
Three students scheduled interviews for summer employment at the Tiket.com. In each case the interview results in either an offer for a position or no offer. Experimental outcomes are defined in terms of the results of the three interviews.a. List the experimental outcomes.b. Define a random variable that represents the number of offers made. Is the random variable continuous?c. Show the value of the random variable for each of the experimental outcomes
A test of 100 motor is done to determine the defective motors. The probability that a motor is defective is 0.02. The motors defects are independent random variable. The probability that exactly two motors are defective given that the number of defective motors is two or fewer is: Select one: a. 0.3127 b. 0.5846 c. 0.5364 d. 0.404 e. 0.4773
Consider a game of rolling a single die, with the outcome as the random variable X. A player gains $10 if the outcome is {1, 2, 3} and a player loses $5 if the outcome is (4, 5, or 6}. It does not cost anything to play the game. Calculate o. Round to 2 decimal places.

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Question 7: A machine produces products with an average 4% rejects. If a random sample of 5 components is taken determine the probability that it contains: a. no rejects b. less than 2 rejects