If the mean is two, the standard deviation is one, and a value for a normally distributed random variable is five, calculate the z-score.

Q: Furnace repair bills are normally distributed with a mean of 264 dollars and a standard deviation of…

A: Let X denote the cost of furnace repair bills. Given that X follows Normal(mean = 264, SD = 30)

Q: The weight of arctic polar bears is normally distributed with a mean of 980 pounds and a standard…

A: we have given that, the weight of arctic polar is normally distributed with mean (mu)= 980, and…

Q: For a population With a mean of 75 and a standard deviation of 12, what is the probability that a…

A:

Q: In an all boys school, the heights of the student body are normally distributed with a mean of 68…

A:

Q: For normal distribution with a mean of 278 and a standard deviation of 25, what is the Z value for a…

A:

Q: Most graduate schools of business require applicants for admission to take the GMAT exam. Suppose…

A: The random variable is score on the GMAT. It follows standard normal distribution. The population…

Q: The time that a shopper spends in the grocery store is normally distributed, with a mean of 65…

A: We have to find given probability..

Q: The time it takes a computer repair company to diagnose a computer follows a normal distribution…

A: Given data  X = time taken for computer repair company to diagnose a computer μ=50   σ=12…

Q: If the scores follow normal distribution with a mean of 120, a standard deviation of 10, find…

A: Solution

Q: Since a population has a mean of 73.5 and a standard deviation of 2.5, what is the probability that…

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

Q: The distribution of the number of viewers for the American idol television show follows a normal…

A: a) Probability that next week show will have between 30 and 34 million viewers: The probability that…

Q: The average repair cost of a microwave oven is 55$, with a standard deviation of 8$. The costs are…

A: Here, mean is µ = 55, standard deviation is σ = 8, and n = 4.

Q: If the average of a random variable is 95 and the standard deviation is 20 then the proportion of…

A: Let X denotes the random variable with mean μ = 95 and SD σ = 20. Let the proportion of observations…

Q: The golf scores for a school team were normally distributed with a mean of 72 and a standard…

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 set of final examination grades in an introductory statistics course is normally​ distributed,…

A: Given that, A set of final examination grades in an introductory statistics course is normally​…

Q: A local sports magazine reports the mean length of a baseball game to be 175.9 minutes with a…

A: Given, mean, μ= 175.9 minutes standard deviation,  = 27 minutes n = 30

Q: As the size of a sample increases, the standard deviation of the distribution of sample means…

A: Here  Standard deviation of sample mean = σn

Q: Obtain the standard deviation of the random variable.

A: First we have to calculate the E(Y2) to find the variance and then standard deviation. It is given…

Q: A study indicates that the weights of adults are normally distributed with a mean ? of 140 lbs and a…

A: 1.Let X be the weight of adults. X follows normal distribution that has mean µ = 140 and the…

Q: If a distribution is normal with a mean 12 and a standard deviation 3, then the median is also 12.…

A: Normally distribution is a continuous probability distribution. In normal distribution curve is a…

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

A:

Q: Suppose the mean weight of school children's book bags is 17.5 pounds, with standard deviation 2.2…

A: Given problem Given that   The mean weight of school children's book bags = μ = 17.5 pounds…

Q: If the mean and the standard deviation of a continuous random variable that is normally distributed…

A: Solution

Q: The sizes of houses in Kenton County are normally distributed with a mean of 1369 square feet with a…

A: From the given information, the mean and standard deviation are 1,369 and 171.

Q: what is the mean and stanadard deviation of a uniform (6,15) random variable?

A:

Q: Find the mean variance and standard deviation for the number of heads when 10 coins are tossed.

A: When a coin is tossed it can it can land either head or tail. Therefore, the number of outcomes is…

Q: The grades of a statistics midterm are normally distributed with a mean of 79 and a standard…

A: Normal distributionμ=79σ=3.5pgrade between74 and 80=?

Q: If we know that the length of time it takes a college student to find a parking spot in the library…

A: Consider a random variable X which, follows normal distribution, indicates the time to find a…

Q: The average person uses 130 gallons of water daily. If the standard deviation is 35 gallons , find…

A: Given that, Mean = 130 Standard deviation = 35 Sample size = 25

Q: For a population with a mean of 100 and standard deviation of 16, what is the probability that a…

A: The central limit theorem states if the sample size (n) is large (greater than or equal to 30), then…

Q: If the weights of sheep are considered normally distributed with a mean of 60 kg and a standard…

A: let  x is defined as the weights of sheep are considered normally distributed with a mean of 60 kg…

Q: If the population standard deviation is unknown, then we could use the sample standard deviation to…

A: We have given that the statement about the standard error of the mean. The formula of standard error…

Q: If the mean of the random variable with Poisson distribution is 4, which of the following is its…

A: Solution: Let X be the Poisson random variable with mean λ=4 X~P(λ=4) The formula for Poisson…

Q: . If the probability of a defective bolt is 0.1, find (a) the mean (b) the standard deviation for…

A:

Q: The standard deviation of a normal random variable X is $50 . Given that P(X ≤ $40) = .25, what is…

A: Given data,σ=50x=40P(X ≤ $40) = .25μ=?

Q: Furnace repair bills are normally distributed with a mean of 267 dollars and a standard deviation of…

A: Let us denote: X=Furnace repair billsGiven that X follows a normal distribution with mean=267 and…

Q: The grades in a standardized test have a mean of 78, a known standard deviation of 8, and are…

A: Given:

Q: The annual per capita consumption of ice cream (in pounds) in the United States can be approximated…

A: It is given that the mean is 20.7 and the standard deviation is 4.2.

Q: For a Poisson distribution of drivers with mean = 20, what is the probability that the number of…

A: Given that the mean =μ= λ=20So, the standard deviation=σ=λ=20We have to find P(μ-2σ≤X≤μ+2σ)

Q: The time that a shopper spends in the grocery store is normally distributed, with a mean of 45…

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: The heights of 18 year-old men are approximately normally distributed, with a mean 68 inches and a…

A: The random variable height follows normal distribution. The population mean is 68. The population…

Q: For a normally distributed random variable with mean 44 and standard deviation 16, find the…

A:

Q: he probability that a football game will go into overtime is 12%. In 200 randomly selected football…

A: It is given than n=200 and p =0.12.

Q: In examining the invoices issued by a company, an auditor finds that the dollar amounts of invoices…

A:

Q: Furnace repair bills are normally distributed with a mean of 269 dollars and a standard deviation of…

A: Given: Population meanμ=269Sample size(n) =64Population standard deviationσ=20 Consider X be the…

Q: A book publisher claims that its mean book length is 250 pages with a standard deviation of 70…

A:

Q: a distribution with a mean of 100 and a standard deviation of 15, what is the probability that a…

A:

Q: The time it takes to fly from Paris to London is normally distributed. If the mean flight time is 80…

A: We are given with Normal Distribution.

Q: The ages of patients in a hospital were normally distributed with a mean of sixty-three years and a…

A:

Q: The heights of 18 year old men are normally distributed with a mean of 67 inches and a standard…

A: Given distribution is normally distributed with mean 67 and standard deviation 3 x~N(μ=67, σ=3)

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.