A manufacturer knows that their items have a normally distributed lifespan, with a mean of 7 years, and standard deviation of 2 years. If you randomly purchase one item, what is the probability it will last longer than 8 years? (Answer using 3 decimal places)

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 2.6…

A: Obtain the Z-score for the random variable X equals 5 The Z-score for the random variable X equals 5…

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 10.1…

A:

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

A: The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ are the mean…

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 4.7…

A: We have to find out given probability...

Q: A manufacturer knows that their items have a normally distributed lifespan with a mean of 4 years…

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

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 9.2…

A:

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 4.1…

A: It is given that the mean is 4.1 and the standard deviation is 1.

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

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

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 2.8…

A:

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 13 years,…

A: GIVEN DATA,normal distribution μ= 13 years σ=2years  if you randomly purchase one item ,probability…

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 2.8…

A:

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 12.2…

A: Given: The mean lifespan of the items is μ=12.2 years. The standard deviation is σ=2.5 years. Let Y…

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

A:

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 14.7…

A: According to provided data, the mean is equal to 14.7 years The standard deviation is equal to 1.6…

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 5.2…

A: Solution: Let X be the lifespan of the items. From the given information, X follows normal…

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 2.8…

A: We have to find out given probabiity..

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 4.3…

A: GivenMean(μ)=4.3standard deviation(σ)=1.2

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 3 years,…

A: Central Limit Theorem for mean: If a random sample of size n is taken from a population having mean…

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 4.1…

A: Given information Population means µ = 4.1 years Standard deviation σ = 1..3 years We have to find…

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 2.2…

A: Mean = 2.2 Standard deviation = 0.7 Sample size = 17

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

A: Probability will be calculated using z table

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 2.6…

A: Central Limit Theorem for mean: If a random sample of size n is taken from a population having mean…

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 11.1…

A: Solution: 53. Let X be the lifespan of an item. From the given information, X follows normal…

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

A: Given:     = 7.3 , = 1.8   To find the probability, we need to find Z scores first.…

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 6.4…

A: Given μ=6.4, σ=1.6 and x=10.   The z score is calculated as

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 3.9…

A: Let "X" be the lifespan of an item in years.

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 12.7…

A: Solution-: Given: μ=12.7,σ=1.6 We want to find, P(one item randomly selected, it will last longer…

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

A: Let x be the lifespan which follows normal distribution with mean 7.3 and standard deviation 0.7.…

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 9.3…

A: Let "X" be the lifespan of an item in years.

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 8.1…

A: Mean = 8.1 Standard deviation = 1.4

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 11.2…

A: Let X is the normally distributed lifespan of an item. μ=11.2,σ=2.5

Q: manufacturer knows that their items have a normally distributed lifespan, with a mean of 14.5 years,…

A:

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 12.2…

A: The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ are the mean…

Q: manufacturer knows that their items have a normally distributed lifespan, with a mean of 10.3 years,…

A: Given that  A manufacturer knows that their items have a normally distributed lifespan. Mean (μ) =…

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

A: In question, Given that A manufacturer knows that their items have a normally distributed lifespan,…

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 12.2…

A: μ=12.2, σ2=0.92 P(X>11)= ?  We solve this probability by using standard normal distribution…

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 13.1…

A: Solution: Let X be the life span of item. From the given information, X follows normal distribution…

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 3.9…

A: Let X be the random variable from normal distribution with mean (μ) = 3.9 and standard deviation (σ)…

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 6.3…

A: GivenMean(μ)=6.3standard deviation(σ)=1.8

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 10.1…

A: Given,mean(μ)=10.1standard deviation(σ)=2.2

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 10.1…

A:

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

A:

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

A:

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 14.7…

A: Given that, Mean, μ=14.7Standard Deviation, σ=4.8 The standard deviation for the 7 items is,…

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

A: Given,Mean(μ)=14.8standard deviation(σ)=2.5

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 4.2…

A: From the provided information, Mean (µ) = 4.2 Standard deviation (σ) = 0.9 X~N (4.2, 0.9) Here X be…

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

A: Given that, Mean = 14.2 Standard deviation = 2.7

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 9.6…

A: Let X denote the  items lifespan and it follows normal distribution with a mean of μ=9.6 years, and…

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 2.1…

A: Solution Let X: lifespan of items  X~N(μ=2.1, σ=0.5)

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 5.3…

A: Here, µ = 5.3, σ = 1.3, and n = 4.