Among 14 details manufactured by factory, 12 are standard. (A) If 5 details are chosen at random, what is the probability that all details are standard? (B) Let Y be the number of standard details from a sample of 5 details, chosen at random. Find the expected value and the standard deviation of Y.

Among 14 details manufactured by factory, 12 are standard. (A) If 5 details are chosen at random, what is the probability that all details are standard? (B) Let Y be the number of standard details from a sample of 5 details, chosen at random. Find the expected value and the standard deviation of Y.

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: About 79% of all female heart transplant patients will survive for at least 3 years. Eighty female…

A: Consider that p is population proportion of female heart transplant patients, who are surviving for…

Q: ALICE and YouGov conducted an online poll among Americans hotel guests of more than 18 years old to…

Q: If X is a random variable with a mean of 20 and a standard deviation of 5, what is the probability…

A: probability that X is greater than 25=0.1587

Q: Suppose a convenience store averages 450 customers per day entering the store with a standard…

A: Let X be a random variable following normal distribution with mean μ and variance σ2, i.e.,…

Q: A factory's worker productivity is normally distributed. One worker produces an average of 73 units…

A: Given: μ1 = 73 σ1 = 21 μ2 = 68 σ2 = 20

Q: (ii) A six sided die is biased such that the probability of rolling a 5 is 0-25. The die is rolled…

A: We have to find given statistics.

Q: Let, x, represent the number of guests interested in gaining experiences of local cuisine…

A: Let, x, represent the number of guests interested in gaining experiences of local cuisine…

Q: Suppose 20% of all emergency room patients have broken bones. Of the next fifteen patients to…

Q: A factory plant is studying the number of accidents per month. The table below gives the…

A: Note: Hey there! Thank you for posting the question. However, since your question has more than 3…

Q: The weight of IKEA furniture has a mean of 90 lbs and a standard deviation of 15 lbs. We randomly…

A: X~N(μ=90,σ=15), n=80

Q: Q3) A player at a fair pays Rs. 100 to roll a dice. The player receives Rs. 50 if the number of dots…

A: It is given that a players receives Rs.50 if number is 5 and Rs.200 if the number is 6 and he gets…

Q: Tom works for a fruit company and found that the weight of pineapples are normally distributed with…

A: From the information, mean is 500 and standard deviation is 100.

Q: The weight of a certain type of dog is normally distributed with a mean of 34.7 pounds, and standard…

Q: There are 8 details and 5 of them are standard. Three details are randomly selected. Find the…

Q: The probability that a person who exercises and eats well has a heart attack is predicted to be 0.3…

A: Given that The probability that a person exercises and eats well has a heart attack is predicted to…

Q: Tom works for a fruit company and found that the weights of pineapples are normally distributed with…

Q: (i) Find the probability that he makes his 10th point on his twelfth free throw. (ii) Find the mean,…

A: Here given , Suppose during practice, a basketball player can make a free throw 80% of the time.…

Q: In a large restaurant an average 70% customers ask for water with their meal. A random sample of 10…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts. In case…

Q: A student knows correct answers to 10 questions out of 12 questions from the book. (A) If a…

A: From the provided information, A student knows 10 correct answers out of 12. Probability of success…

Q: The average amount of sleep students get a night is normally distributed with a mean of 6.5 hours…

A: Draw the normal curve and shade the area to the left of z=-0.75. Refer to Standard normal…

Q: ress prints newspaper have a quantity that is approximately normally distributed, with mean equal to…

A: Given: μ=400, σ=20, n=5 The corresponding z-value needed to be computed is: The probability that…

Q: he probability that a house in an urban area will be burglarized is 5%. A sample of 50 houses is…

A: Given,n=50p=0.05A random variable X~Binomial(n=50 . p=0.05)P(X=x)=50x0.05x1-0.0550-x ;…

Q: Elephants are the mammals with the longest gestation period. One species of elephant has a mean…

A: We have find probabiity..

Q: The daily low temperature in Woodland, in December is normally distributed with mean 39.6°F and a…

A: Introduction: For a normally distributed random variable, X with mean μ, and standard deviation σ,…

Q: Suppose that you and every person in your very large city get five pieces of chocolate from Trader…

A: Given,sample size(n)=5mean(μ)=3standard deviation(σ)=2

Q: n HP laser printer is advertised to print text documents at a speed of 18 ppm (pages per minute).…

A: actual mean = 17.2ppm standard deviation = 3.25ppm sample size = 12 The printing speed is actually…

Q: Shomee is rolling a die repeatedly. What is the probability that a six will emerge for the first…

Q: The height of 10 year old females is normally distributed with a mean of 54.8 inches and a standard…

A: It is given that mean and standard deviation are 54.8 inches and 2.74 inches, respectively.

Q: Assume that 20.5% of all cars in South Africa are silver in colour. Let bp be the sample proportion…

A: Given problem Given that

Q: A particular fruit's weights are normally distributed, with a mean of 663 grams and a standard…

A: GivenMean(μ)=663standard deviation(σ)=20

Q: A recent study was conducted and it found that IQ's are normally distributed with a mean or 100 and…

A: Given information, μ=100σ=15

Q: If X is a random variable with a mean of 20 and a standard deviation of 5, what is the probability…

A: From the provided information, Mean (µ) = 20 Standard deviation (σ) = 5

Q: The standard deviation is also called the expected value. True

A: we have to identify the statement is true or false ? statement : The standard deviation is also…

Q: The length of human pregnancies from conception to birth is approximately Normal with mean 266 days…

Q: A particular fruit's weights are normally distributed, with a mean of 419 grams and a standard…

A: Given, Mean = 419 Standard deviation = 7 The objective is to find the probability that their mean…

Q: An electrical appliance made by company A has an average life of 2500 hours, with a standard…

A: Given that For Company A Population mean=2500 hours Standard deviation =500 hours Sample size=300…

Q: ALICE and YouGov conducted an online poll among Americans hotel guests of more than 18 years old to…

A: Solution: Let X be the number of guests interested in gaining experiences of local cuisine tastings/…

Q: The weights of cans of Ocean brand tuna are supposed to have a net weight of 6 ounces. The…

A: Using Central Limit Theorem to find the distribution of sample mean.

Q: Suppose, you are running an experiment that has two outcomes, namely 'success' and 'failure'. You…

A: Given data: The expected number of experiment required for the first success is 8.

Q: For healthy individuals, between 18 and 48, the mean heart rate is 60 beats per minute (bpm) with a…

A: Calculating the probability: The heart rates have a mean 60 and standard deviation 10. Let X denotes…

Q: An X random variable comes from any distribution with 21 averages and 17 variances. What is the…

Q: Assume that the square footage of a residential house in the US is normally distributed with a…

A: According to the given information in this question We need to find the probability that it will be…

Q: If the average length of all low-weight babies at the time of birth is known to be 36.5 centimeters…

A: Given Data: Mean=36.5 SD=2.4

Question

Among 14 details manufactured by factory, 12 are standard.
(A) If 5 details are chosen at random, what is the probability that all details are
standard?
(B) Let Y be the number of standard details from a sample of 5 details, chosen
at random. Find the expected value and the standard deviation of Y.

Video Video

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

What is the probability that 46 cars chosen at random will have a mean load weight x of less than 85.5 tons of coal if the mean is 86 and standard deviation 1.4
The 3-point shooter star of your favourite team usually attempts twelve 3-point shots in a basketball game. The team record shows that the shooter makes 45% of all 3-point shots attempted in a game. Assuming that the shots are independent of each other,what is probability that the star will make shots at least 2 standard deviation more than the expected?
3. Let Y,,. , Y, be a random sample from a normal distribution with mean 30 and standard deviation 3. What is the probability the largest observation is greater than 30?
A factory's worker productivity is normally distributed. One worker produces an average of 73 units per day with a standard deviation of 19. Another worker produces at an average rate of 66 units per day with a standard deviation of 20. A. What is the probability that in a single day worker 1 will outproduce worker 2? Probability= B. What is the probability that during one week (5 working days), worker 1 will outproduce worker 2? Probability =
The personality variable extraversion is normally distributed in the population and has a mean of 10 and a standard deviation of 2. Researchers consider individuals who are 1 standard deviation above the mean “highly” extroverted. What is the probability that you can randomly sample 3 people from the population and all 3 would be “highly” extroverted?
The average number of shoppers at a particular grocery store in one day is 505, and the standard deviation is 115. The number of shoppers is normally distributed. For a random day, what is the probability that there are between 200 and 400 shoppers at the grocery store? The answer should be typed as a decimal with 4 decimal places.
An HP laser printer is advertised to print text documents at a speed of 18 ppm (pages per minute). The manufacturer tells you that the printing speed is actually a Normal random variable with a mean of 17.55 ppm and a standard deviation of 3 ppm. Suppose that you draw a random sample of 12 printers. Part i) Using the information about the distribution of the printing speeds given by the manufacturer, find the probability that the mean printing speed of the sample is greater than 18.15 ppm. (Please carry answers to at least six decimal places in intermediate steps. Give your final answer to the nearest three decimal places). Probability (as a proportion) ...
A particular fruit's weights are normally distributed, with a mean of 635 grams and a standard deviation of 27 grams. If you pick one fruit at random, what is the probability that it will weigh between 589 grams and 658 grams? Express your answer in 4 decimal places.
There are 11 details and 4 of them are standard. Three details are randomly selected. Find the probability distribution of the random variable X, where X is a number of the standard details among 3 selected details. Find the mean and standard deviation of X.
An HP laser printer is advertised to print text documents at a speed of 18 ppm (pages per minute). The manufacturer tells you that the printing speed is actually a Normal random variable with a mean of 17.25 ppm and a standard deviation of 5 ppm. Suppose that you draw a random sample of 14 printers. Part i) Using the information about the distribution of the printing speeds given by the manufacturer, find the probability that the mean printing speed of the sample is greater than 17.45 ppm. (Please carry answers to at least six decimal places in intermediate steps. Give your final answer to the nearest three decimal places). Probability (as a proportion)
The length of the western rattlesnake is normally distributed with a mean of 42 inches and a standard deviation of 2.04 inches. Let X be the length of one of these snakes selected at random. Determine the probability that the snake is longer than 45 inches. Report your answer to four decimal places (like .1567).