What are the expected value and standard deviation of the number of washing machines in the sample that have the defect? b.) Use the suitable probability distribution function to find the probability that probability that more than 10 sampled washing machines have the defect? c.) Use the suitable probability distribution function to find the probability that probability that no sampled washing machine have the defect?

What are the expected value and standard deviation of the number of washing machines in the sample that have the defect? b.) Use the suitable probability distribution function to find the probability that probability that more than 10 sampled washing machines have the defect? c.) Use the suitable probability distribution function to find the probability that probability that no sampled washing machine have the defect?

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...

See similar textbooks

Related questions

Q: What is the probability that it takes at most 26 minutes total to produce a randomly selected part?…

A: It is a problem of normal distribution. Given, three random variables X1, X2, X3 have mean values…

Q: The average credit card debt for college seniors is $3000. If the debt is normally distibuted with a…

A: A) The senior owes at least $1200

Q: Construct a probability distribution table that describes the sampling distribution of the…

A: Answer: We have given that, the population is 1,3 and 8. So, from this sample of size n=2 with…

Q: 3. Assume can of Coke are filled so that the actual amounts have a mean of 12.00 oz and a standard…

A: Let X denotes the amount of Coke Assume that X follows normal distribution having mean 12 and…

Q: A consumer organization inspecting new TV sets found that 23% have one appearance defect. Suppose…

A: Given Probability of 1 tv set getting defective appearance is 0.23.we need to determine the…

Q: Suppose that the average price for a gallon of gasoline in the Country A is $2.74 and in Country B…

A: For country AMean()=2.74standard deviation()=0.25For country BMean()=2.40standard deviation()=0.20

Q: In a country of 80 million people, it is observed that 15% of the population have hearing trouble.…

A: Given : Population, N = 80000000 p = 0.15 Sample size, n = 120 .05

Q: sampiing the sample is an unbiased estimator. shows the distribution of all possible values of u. is…

A: The sample mean is used to estimate the population mean.

Q: 4. Compute the mean and the Standard deviation of the probability distribution table of : 2 Y 0.2…

Q: Based on a poll, 50% of adults believe in reincarnation. Assume that 4 adults are randomly selected,…

A: Here given that 50% of people believe in reincarnation. A sample of 4 adults is taken. This follows…

Q: About 20% of Americans are bilingual. A ramdom sample of 7 americans is drawn a. find the…

Q: An airline knows from experiences that the distribution of the number of suitcases that get lost…

A: Let "X" be the number of suitcases that get lost each week on a certain route.

Q: The average hourly wage of employees of a certain company is $11.88. Assume the variable is normally…

A: The mean of the distribution is .The standard deviation of the distribution is .The population is…

Q: random sample of eleven children selected from this school who do not have cavities. The mean,…

A: It is given that the number of observations are independent with the probability of success p = 68%…

Q: Assume that different groups of couples use a particular method of gender selection and each couple…

Q: Find the a) mean, b) standard deviation and c) variance of the given probability distribution. 1)…

A: Solution-: We have given table: x P(x) 3 0.14 6 0.05 9 0.36 12 0.35 15 0.10 We…

Q: Find each of the shaded areas under the standard normal curve. The not shaded part in the…

A: Note:Hi! Thank you for posting the question. However, it is not clearly mentioned in your question…

Q: a randomly dividual tested, probability thousands) before it will need replacement is between 66.1…

A: It is given that the mean is 64 and the standard deviation is 12.

Q: 1. Assume that a similar boat is loaded with 70 passengers, and assume that the weights of people…

Q: A customer service center is tracking number of complaints in each week. Let X be the number of…

A: The objective of the question is to understand the properties of a discrete probability…

Q: sume th To and 23 a. What is the probability that the download time will be less than 17 minutes? b.…

A: Assume that the download times for a two-hour movie are uniformly distributed between 16 and 25…

Q: Five males with an X-linked genetic disorder have one child each. The random variable x is the…

A: Mean(μ)=∑x.P(X)standard deviation(σ)=∑x2.P(X)-(∑x.P(X))2 we know that total probability is equal to…

Q: hree randomly selected households are surveyed. The numbers of people in the households are 2, 7,…

A: Given Information: Below are the nine possible samples: Samples (x1 , x2) 1 (2, 2) 2 (2, 7)…

Q: Three randomly selected households are surveyed. The numbers of people in the households are 4, 5,…

Q: Let X be a random variable that has a Poisson distribution. If the probability that X is greater…

A: X has a Poisson distribution with P(X>0)=0.9967

Q: For each situation given below, do the following: A) Decide if the random variable is Poisson (or…

A: The probability mass function of the Poisson distribution is given as follows:

Q: Three randomly selected households are surveyed. The numbers of people in the households are 2, 4,…

A: Given information Population consists of 3 numbers 2, 4, 9 Proportion of even numbers in the…

Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

( Note: Please give correct and within 40 minutes.)

Suppose that only 10 % of all washing machines of a certain type need replacement during the warranty period. Consider a sample of (5,600) washing machines.

a.) What are the expected value and standard deviation of the number of washing machines in the sample that have the defect?

b.) Use the suitable probability distribution function to find the probability that probability that more than 10 sampled washing machines have the defect?
c.) Use the suitable probability distribution function to find the probability that probability that no sampled washing machine have the defect?

Video Video

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.

Similar questions

The manager of a local soft-drink bottling company believes that when a new beverage-dispensing machine is set to dispense 8 ounces, it in fact dispenses an amount x at random anywhere between 7.5 and 8.5 ounces, inclusive. Suppose x has a uniform probability distribution. a. Find the mean and standard deviation for the distribution. (Round to three decimal places as needed.)
According to a poll of adults, about 43% work during their summer vacation. Assume that the true proportion of all adults that work during summer vacation is p=0.43. Now consider a random sample of 400 adults. Complete parts a and b below. IN a. What is the probability that between 36% and 50% of the sampled adults work during summer vacation? The probability is. (Round to three decimal places as needed.) b. What is the probability that over 55% of the sampled adults work during summer vacation? The probability is (Round to three decimal places as needed.) 4
The state of California has a mean annual rainfall of 19 inches, whereas the state of New York has a mean annual rainfall of 48 inches (Current Results website, October 27, 2012). Assume that the standard deviation for both states is 4 inches. A sample of 30 years of rainfall for California and a sample of 45 years of rainfall for New York has been taken. a. Show the probability distribution of the sample mean annual rainfall for California. This is a normal probability distribution with and (to decimals). b. What is the probability that the sample mean is within inch of the population mean for California? (to decimals) c. What is the probability that the sample mean is within inch of the population mean for New York? (to decimals) d. In which case, part (b) or part (c), is the probability of obtaining a sample mean within inch of the population mean greater? Why? The probability of being within inch is greater because the sample size is .
The ages of students in a middle school have the following probability distribution: x 12 13 14 15 P(x) 0.25 0.29 0.32 0.14 a) What is the probability a student chosen at random is no less than 13 years old? b) What is the mean age of the students in middle school? c) What is the standard deviation for the ages of the students in the middle school?
Use the scenario below to determine the correct values of n, p, q and x of the binomial distribution. Suppose that in a certain video game there is a 5.1% item drop rate of wild meat after defeating a Beast Master. Assume 14 Beast Masters are defeated. What is the probability that 5 wild meats will drop? n = p = q = X =
9.) The mean starting salary for teachers is $53,475 nationally. The standard deviation is approximately $5,250. Assume that the starting salary is normally distributed. a.) State the random variable. b.) Find the probability that a starting teacher will make more than $60,000. c.) Find the probability that a starting teacher will make less than $50,000. d.) Find the probability that a starting teacher will make between $52,000 and $59,500. e.) If a teacher made more than $61,000, would you think the teacher was overpaid? Why or why not?
A Statistics class has 85 students. 48 of these are females and 37 are males. A random sample of 11 students in the class is selected. Let X = the number of the selected students who are female. a. What is the expected value of X? b. What is the standard deviation of X? c. What is the probability that X is within 2.0 standard deviations of its expected value? d. What is the probability that X = 1.5?
Suppose the demand for a company’s product in week 1,2, & 3 are each normally distributed. The means are 50, 45, and 65. The standard deviations are 10,5, and 15. Assume these 3 demands are probabilistically independent. Suppose the company has 180 units in stock, and it will not be receiving any more shipments from its supplier for at least 3 weeks. What is the probability that stock will run out during the 3 week period? How many units should the company have in stock, so that it can be 98% certain of not running out during the 3 week period , assuming it will not receive any more shipments during this period?