2. Six boxes of components are ready to be shipped by a certain supplier. The number of defectivecomponents in each box is as follows:Вох12 34 56.Number of defectives0 212 0a. Find the probability distribution of nondefective components.b. Find the mean and standard deviation of the distribution in (a)

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Answered: 2. Six boxes of components are ready to…

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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4. Create a probability distribution for distribution of "number of heads" appearing after flipping three coins. Find its mean and its standard deviation. Desktop 54°F Rain to stop DELL F5 F6 F7 F8 F9 F10 F11 F12 PrtScr Insert De & Be Y G H J K 立

in "a" the blank is "z" and "t" distribution
We are examining farmer production in marginal land. A sample of 100 farmers produce this crop with mean of 100 bushels per acre. Assume a normal distribution. Q1: What is the probability an individual farmer in this population produces 103 or less bushels of corn?Q2: What is the probability the mean bushels of corn produced is 103 or less bushels of corn?
When parking a car in a downtown parking lot, drivers pay according to the number of hours or fraction thereof. The probability distribution of the number of hours cars are parked has been estimated as follows: X 12 3 4 5 6 7 8 P(X) 0.23 0.149 0.13 0.08 0.057 0.022 0.026 0.306 A. Mean = B. Standard Deviation = The cost of parking is 2.5 dollars per hour. Calculate the mean and standard deviation of the amount of revenue each car generates. A. Mean = B. Standard Deviation =
Assume that the average score on a statistical test is 8.5 and the variance is 2. The test was on the lighter side and the score distribution was very skewed (left skewed). What probability distribution is it reasonable to assume that the average grade of 3 randomly selected students who take the exam follows? 1. Normal distribution with mean 8.5 and variance 2. 2. Normal distribution with an average of 8.5 and a variance of 2/3. 3. Poisson distribution with an average of 8.5 and a distribution of 8. 4. The probability distribution cannot be predicted from the information provided.
The state of California has a mean annual rainfall of 22 inches, whereas the state of New York has a mean annual rainfall of 42 inches. Assume that the standard deviation for both states is 4 inches. A sample of 30 years of rainfall for California and a sample of 49 years of rainfall for New York has been taken. (a) Show the probability distribution of the sample mean annual rainfall for California. 39.9 40.6 41.3 42 42.7 43.4 44.1 inches O -2.1-1.4 -0.7 0 0.7 1.4 2.1 inches O 10 14 18 22 26 30 34 (b) What is the probability that the sample mean is within 1 inch of the population mean for California? (Round your answer to four decimal places.) 0.8490 X inches 19.9 20.6 21.3 22 22.7 23.4 24.1 inches
3. Calculate the mean, variance, and standard deviation of a binomial probability distribution, using the data: n = 9, x = 6, q = 0.75. a) Average b) Variance c) Standard Deviation
Find the m.g.f of uniform distribution and hence find its mean and variance.
Service time for a customer coming through a checkout counter in a retail store is a random variable with the mean of 1.0 minutes and standard deviation of 0.5 minutes. Suppose that the distribution of service time is fairly close to a normal distribution. Suppose there are two counters in a store, n = 11 customers in the first line and n2 = 30 customers in the second line. Find the probability that the difference between the mean service time for the shorter line X1 and the mean service time for the longer one X2 is more than 0.5 minutes. Assume that the service times for each customer can be regarded as independent random variables. Round your answer to two decimal places (e.g. 98.76). P = i
A random variable follows a binomial distribution with a probability of success equal to 0.68. For a sample size of n=8, find:- 1.The probability of exactly 3 success 2.The expected value(mean) 3.The variance of the random variable
In a given company, employee should sign in using the biometric time clock. There are 3 devices in thecompany and the probability that it works is 95%.Let x be the random variable of the number of devices working at a given day.1. Construct the probability distribution of x.2. Find the mean value and interpret it.3. Find the standard deviation and interpret it.
6. A study was conducted to determine the number of emergency calls per day received by the Conestoga Valley Fire Company. The data are shown here: # of phone calls Frequency 5 7 8 28 32 21 10 (a) Construct a probability distribution for the number of phone calls. (b) Find the mean number of phone calls, rounded to the nearest tenth.

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