The portfolios of wealthy people over the age of 50 produce yearly retirement incomes which are normally distributed with mean equal to $125,000 and standard deviation of 25,000. Use RStudio to find the probability of selecting a sample of 16 wealthy individuals whose portfolios produce a mean retirement income  exceeding $135,000 less than $115,000 less than $110,000 or more than $140,000

Q: A company has 1,000 employees. The average number of workdays between absence for illness is 87 with…

A: The objective of this question is to find the probability that the sample mean of workdays with no…

Q: A Texas Instrument calculator operating life is normally distributed with a mean of 3,850 hours, and…

A: Given information- Population mean, μ = 3850 hours Population standard deviation, σ = 350 hours…

Q: according to a survey conducted by wedding book, women who celebrated valentines day last year spend…

A: given data, normal distribution μ=86σ=27 probability that a randomly selected woman who celebrated…

Q: Calculators from Caseo Company and Sharpy Company has a mean life span that is normally distributed.…

A: The mean life spans of calculators from Caseo Company and Sharpy Company are normally distributed.…

Q: The amount of snowfall falling in a certain mountain range is normally distributed with an average…

A: From the provided information, Mean (µ) = 170 inches Standard deviation (σ) = 20 inches X~N (170,…

Q: In 1999, the murder rates (per 100000) for the 50 states and the District of Columbia had a mean of…

A: Given mean is 5.9 and standard deviation 6.3 sample size is 5

Q: Tiger Woods hits an average driver 287.2 yards with a standard deviation of 24.6 yards. What is the…

A: The probability value is calculate by means of standard normal variate with the random variable,…

Q: the probability that a ball dropped from a certain height will strike the ground is 80 percent and…

A: Given: Number of trials or balls (n) = 12 Probability of success  here (p) = 0.80 Let X ~ Bin(12,…

Q: The mean cost of domestic airfares in the United States rose to an all-time high of $385 per ticket.…

A: From the provided information, Mean (µ) = $385 Standard deviation (σ) = $115 Let X be a random…

Q: What is the probability that the mean overall physical activity level of the sample is greater than…

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

Q: The mean cost of domestic airfares in the United States rose to an all-time high of $370 per ticket.…

A:

Q: The mean age that cats get adopted at a shelter is 21.4 months with a standard deviation of 3.6…

A: Normal distribution is also known as the Gaussian distribution . It is widely used in statistics .

Q: Calculate the mean and standard deviation for the distribution which defines selecting a faculty as…

A: Given that  10 facility  8 administrators  8 committee  We have to find mean and standard deviation…

Q: The average rainfall received in New Jersey in the past few months was 3.6 inches with a standard…

A: Let X denotes the rainfall received in New Jersey. The average rainfall received in New Jersey in…

Q: A company makes batteries that have life spans with a mean of 3000 hours and standard deviation of…

A: From the given information, Sample size (n) = 85 Mean (µ) =3000 Standard deviation (σ) =70 Consider,…

Q: ry is $159,964 for an assistant professor and $147,702 for an associate professor. Assume that the…

A: Given: μ for assitant professor salary = $159,964μ for associate professor salary =…

Q: The length of an episode of the hit TV show, Fake Blood, is normally distributed with a mean of 62…

A: Given that  X~Normal(μ=62 , ?=4.5) Mean=μ=62 , Standard deviation=?=4.5)

Q: Runner’s World reports that the times of finishers in a 10 km run are normally distributed with a…

A: Let us denote X=The times of finishers X follows a normal distribution with mean=61 and standard…

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: The mean age that cats get adopted at a shelter is 21.4 months with a standard deviation of 3.6…

A: Solution: Let X be the age. From the given information, X follows normal distribution with mean…

Q: In 2001 there were 869 road fatalities in Virginia, according to the Virginia Department of Motor…

A:

Q: annual precipitation amounts in a certain mountain range are normally distributed with a mean of 82…

A: Given,sample size(n)=25mean(μ)=82standard deviation(σ)=9

Q: The Wechsler IQ test is normally distributed with mean 100 points and standard deviation 15 points.…

A: Solution let Xdenote Wechsler IQ test is normally distributed with mean 100 points and standard…

Q: According to PSA, the probability of a randomly selected 90-year old Filipino survives for at least…

A: Given information: n=20p(success=survive another year)=82% or 0.82q(failure= not survive another…

Q: Scores on a Registered Nurse (RN) aptitude exam are normally distributed with a mean of 72 and a…

A: Given,Population mean(μ)=72Population standard deviation(σ)=8

Q: The composite scores of individual students on the ACT college entrance examination in 2019 followed…

A: Solution: Let X be the composite scores of individual students on the ACT college entrance…

Q: The Centers for Disease Control report that the total cholesterol levels for women, age 20-29, are…

A: Given, Mean = 183 Standard deviation = 37.2 Sample size = 30   The objective to is find the…

Q: The finish times for marathon runners during a race are normally distributed with a mean of 195…

A: given data  normal distributionμ = 195 minutesσ = 25 minutesP(x<180 minutes) = ?

Q: The SAT is an exam that is used by many universities for admission. Suppose that the scores on the…

A: Solution: Let X be the score on SAT mathematics exam. From the given information, X follows normal…