A manufacturer knows that their items have a normally distributed length, with a mean of 9.9 inches, and standard deviation of 2.6 inches. If one item is chosen at random, what is the probability that it is less than 10.5 inches long?

A manufacturer knows that their items have a normally distributed length, with a mean of 9.9 inches, and standard deviation of 2.6 inches. If one item is chosen at random, what is the probability that it is less than 10.5 inches long?

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: A manufacturer knows that their items have a normally distributed length, with a mean of 12 inches,…

A: Normal distribution is a continuous distribution that has many real-life applications. A normal…

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 14.2…

A: GivenMean(μ)=14.2standard deviation(σ)=2.2

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 10.8…

A: given data normal distributionμ = 10.8σ = 0.7P(x<9.1) = ?

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 9.5 inches,…

A: From the provided information, From the provided information, Mean (µ) = 9.5 inches Standard…

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 6.6 inches,…

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 9.7 inches,…

A: Given that, A manufacturer knows that their items have a normally distributed length with, Mean =…

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 9.5 inches,…

A: Population mean, μ = 9.5 inchesPopulation standard deviation, σ = 2.4 inchesLet, X be the length of…

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 15.4…

A: We have to find the probability that their mean length is less than 15.9 inches...

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 6 inches,…

A: GivenMean(μ)=6standard deviation(σ)=1.9

Q: nufacturer knows that their items have a normally distributed length, with a mean of 10.6 inches,…

A: Given data,Mean μ=10.6sd σ=2P(X<10.4)=?

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 14.6…

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 10 inches,…

A: We have given that, Items are normally distributed with Mean(Mu) = 10 inches and standard deviation…

Q: If one item is chosen at random, what is the probability that it is less than 7.9 inches long?

A: Let X be the random variable of the length of items.Given that,

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 18.6…

A: Suppose the random variable x defines the length of the items.

Q: If one item is chosen at random, what is the probability that it is less than 5.6 inches long?

A: Let X denote the length of the items. Given that X follows N(mean = 5.5, SD = 1.3), then Z = (X -…

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 10 inches,…

A: The random variable item follows normal distribution. We have to find the probability that it is…

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 13.2…

A: The random variable is item. It follows standard normal distribution. It is given that the…

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 7.1 inches,…

A: Mean(µ) = 7.1Standard deviations (σ) = 2.2X ~ N (µ, σ )= N (7.1, 2.2)

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 9.1 inches,…

A: It is given that the mean is 9.1 and standard deviation is 1.3.

Q: facturer knows that their items have a normally distributed length, with a mean of 8.9 inches, and…

A: given data, normal distributionμ=8.9σ=1.3if one item chosen at random, the probability that it is…

Q: manufacturer knows that their items have a normally distributed length, with a mean of 7.2 inches,…

A: Given that A manufacturer knows that their items have a normally distributed length, with a mean of…

Q: The average number of pounds of red meat a person consumes each year is 196 with a standard…

A: We are given,μ = 196σ = 22n = 60

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 7.4 inches,…

A: Let "M" be the mean length of the item in inches.

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 15.2…

A: given data normal distribution μ=15.2σ=4.4P(x<16.4)=?

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 8.2 inches,…

A: Let X denote the length of items and it follows normal distribution with mean of 8.2 inches and…

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 17 inches,…

A: The objective of this question is to find the probability that a randomly chosen item from a…

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 13.8…

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 18.8…

A: The probability that it is less than 18.8 inches long when one item chosen at random is obtained…

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 10.8…

A: Given that Mean = M = 10.8 Standard deviation = SD = 1.6 Sample size = n = 4 X ~ Normal (M = 10.8…

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 13.9…

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 15.4…

A: We know it is normally distributed. So we can use the z - probability formula. z=x-μσ Here, μ -…

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 13.2…

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 11.9…

A: Mean = 11.9 Standard deviation = 1.3

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 14.8…

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 7.3 inches,…

A: From the provided information,

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 16.4…

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 5.5 inches,…

Q: at their items have a normally distributed length, with a mean of 16.8 inches, and standard…

A: According to the sum, A manufacturer knows that its items have a normally distributed length, with a…

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 6.5 inches,…

A: Let us consider the length of items denoted by X which is normally distributed length, with a mean…

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 5.8 inches,…

A: It is given that the mean is 5.8 and standard deviation is 1.3.

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 8.7 inches,…

A: Let x be the length which follows normal distribution with mean 8.7 and standard deviation 2.2. The…

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 10.2…

Question

A manufacturer knows that their items have a normally distributed length, with a mean of 9.9 inches, and standard deviation of 2.6 inches.

If one item is chosen at random, what is the probability that it is less than 10.5 inches long?

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

Similar questions

A manufacturer knows that their items have a normally distributed length, with a mean of 10.1 inches, and standard deviation of 1.5 inches.If 11 items are chosen at random, what is the probability that their mean length is less than 9.5 inches?
A manufacturer knows that their items have a normally distributed length, with a mean of 9.3 inches, and standard deviation of 1.9 inches. If one item is chosen at random, what is the probability that it is less than 13.5 inches long?
A manufacturer knows that their items have a normally distributed length, with a mean of 5 inches, and standard deviation of 1.4 inches.If one item is chosen at random, what is the probability that it is less than 7.5 inches long?
A manufacturer knows that their items have a normally distributed length, with a mean of 8.9 inches, and standard deviation of 0.9 inches.If one item is chosen at random, what is the probability that it is less than 8.3 inches long?
A manufacturer knows that their items have a normally distributed length, with a mean of 8.3 inches, and standard deviation of 1.8 inches.If one item is chosen at random, what is the probability that it is less than 10.7 inches long?
A manufacturer knows that their items have a normally distributed length, with a mean of 11.3 inches, and standard deviation of 2.4 inches. If one item is chosen at random, what is the probability that it is less than 16.9 inches long?
A manufacturer knows that their items have a normally distributed length, with a mean of 9.6 inches, and standard deviation of 2.8 inches. If one item is chosen at random, what is the probability that it is less than 14.2 inches long?
A manufacturer knows that their items have a normally distributed length, with a mean of 6.4 inches, and standard deviation of 0.5 inches.If one item is chosen at random, what is the probability that it is less than 6.6 inches long?
A manufacturer knows that their items have a normally distributed length, with a mean of 10.8 inches, and standard deviation of 0.6 inches.If one item is chosen at random, what is the probability that it is less than 11.3 inches long?
A manufacturer knows that their items have a normally distributed length, with a mean of 17.7 inches, and standard deviation of 3 inches.If one item is chosen at random, what is the probability that it is less than 15.4 inches long?
A manufacturer knows that their items have a normally distributed length, with a mean of 6.7 inches, and standard deviation of 2.1 inches.If 21 items are chosen at random, what is the probability that their mean length is less than 6.9 inches?
A manufacturer knows that their items have a normally distributed length, with a mean of 5.7 inches, and standard deviation of 1 inches.If one item is chosen at random, what is the probability that it is less than 6 inches long?