A manufacturer knows that their items have a normally distributed lifespan, with a mean of 13 years, and standard deviation of 2 years. If you randomly purchase one item, what is the probability it will last longer than 9 years? (Give answer to 4 decimal places.)

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 2 years,…

A: Given problem Given that

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 5.7…

A:

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 4.5…

A:

Q: The life of light bulbs is distributed normally. The standard deviation of the lifetime is 25 hours…

A:

Q: acturer knows that their items have a normally distributed lifespan, with a mean of 7.6 years, and…

A: Let the left area of the normal curve is denoted by -z* and the right area of the curve by z*. Now,…

Q: A population has a mean of 200 and a standard deviation of 25. A sample of 64 observations will be…

A: We have to find out given probabiity..

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 3.2…

A: Solution: Let X be the life of the 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 11.3…

A:

Q: The probability that it snows in a particular city on any given winter day is 13%. What is the…

A: Given that the probability that it snows in a particular city on any given winter day is 13%. Let,…

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 10.7…

A: As per central limit theorem, the standard normal z score of sample mean x is defined as…

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 7 years,…

A: Given that  μ=7σ=2.1 sample size is n=20 Let 4% of the time their mean life will be less than 'a'…

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

A:

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

A: Determine the number of years that will be less than if 15 items are picked at random, 4% of the…

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

A:

Q: manufacturer knows that their items have a normally distributed lifespan, with a mean of 9.9 years,…

A: Given mean of 9.9 years, and standard deviation of 1.9 years.

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 10.7…

A:

Q: A particular fruit's weights are normally distributed, with a mean of 727 grams and a standard…

A: The mean is 727 and the standard deviation is 34 grams.

Q: The life of light bulbs is distributed normally. The standard deviation of the lifetime is 15 hours…

A: The mean is 590 hours and the standard deviation is 15. The life of light bulbs(X) is distributed…

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

A:

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

A: From the provided information, Mean (µ) = 7.4 years Standard deviation (σ) = 2 years X~N (7.4, 2) X…

Q: The life of light bulbs is distributed normally. The standard deviation of the lifetime is 20 hours…

A: Denote X as the life of a randomly selected light bulb.

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 14.4…

A: Given information:Mean, µ=14.4Standard deviation, σ=3.8Sample size, n=23

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 7 years,…

A:

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)=1.8sample size(n)=8

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 2.5…

A: Normal distribution is a continuous distribution which has many real life applications. Normal curve…

Q: The life of lightbulbs is distributed normally. The standard deviation of the lifetime is 20 hours…

A: The following information has been provided: The population mean is μ=600. The population standard…

Q: 2. A CARD IS SELECTED FROM A DECK, THEN REPLACED, AND A SECOND CARD IS DRAWN. FIND THE PROBABILITY…

A:

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 11.7…

A: Consider a random variable X, defines the lifespan of an item.

Q: Assume that adults have IQ scores that are normally distributed with a mean of u = 105 and a…

A: Let X denote the IQ scores of adults. Given that X follows N(mean = 105, SD = 20), then Z = (X -…

Q: The IQ of highschool seniors is normally distributed with a mean of 100 and a standard deviation of…

A: The sample size is n=15. The population mean is μ=100. The population standard deviation is σ=15. We…

Q: A professor knows that her statistics students' final exam scores have a mean of 79 and a standard…

A:

Q: A professor knows that her statistics students' final exam scores have a mean of 75 and a standard…

A: From the given information, μ=75σ=12.2 In his class, an "A" is any exam score of 90 or higher.…

Q: Assume that adults have IQ scores that are normally distributed with a mean of u = 100 and a…

A: Let X be the random variable from normal distribution with mean (μ) = 100 and standard deviation (σ)…

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 5.6…

A: Let 'X' be a continuous random variable of lifespan of items is normally distributed with mean of…

Q: A population has a mean of 90 and a standard deviation of 10. A sample of 100 observations will be…

A:

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 6.1…

A: The mean is 6.1 years and the standard deviation is 1.9 years.

Q: A population has a mean of u=50 and a standard deviation of 0=10. If 3 points were added to every…

A: The properties of mean are:E(X + a) = E( X ) + a * E(X+a)=E(X)+aE(aX)=aE(X)The property of variance…

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 3.8…

A: Draw the normal curve and shade the area of 0.03 to the left of z under the normal curve. Use excel…

Q: The life of light bulbs is distributed normally. The standard deviation of the lifetime is 25 hours…

A: GivenMean(μ)=510standard deviation(σ)=25

Q: The NJ Department of Health has reported the average life span of NJ residents is 81 years. If the…

A: Let "X" be the average life span of NJ residents