1. In a study of the life expectancy of 500 people in a certain geographic region, the mean age at death was 72 years and the standard deviation was 5.3 years. If a sample of 50 people from this region is selected, find the probability that the mean life expectancy will be less than 70 years

Q: A population has a mean of 33 and a standard deviation of 5 . What is the probability that the…

A: Population mean=33Population standard deviation=5Sample size n=58

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

A:

Q: 3. The Flamerock npany manufactures a particular tire model that has a mean lifetime of 65,000 miles…

A: We have given that.   X~N( μ , ?^2 )   μ =6500 , ? =4500   Z-score =( x - μ )/?

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 15.9…

A:

Q: A sample of 235 students was taken for an exploratory study. Each member of a random 35 of these…

A: Since the sample size is sufficiently large, and the population standard deviation is known, the…

Q: The average age of all employees is 25 years, and the standard deviation of the ages of all…

A: Given,sample size(n)=100mean(μ)=25standard deviation(σ)=3

Q: Given a distribution with a mean of 90 and a standard deviation of 10, what is the probability of…

A: Given Information: μ=90 σ=10 x1=85 x2=110

Q: Household incomes in the city of Tampa Bay  are right-skewed with an average of 50,270 and standard…

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

Q: In a study of work patterns, data from 669 subjects were collected. For the time spent in child…

A: We have given that,  Let X be the random variable from normal distribution with mean (μ) = 23.08,…

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: 2. If quiz grades are normally distributed with a mean of 80 and a standard deviation of 6.0, what…

A: 2) Given,Mean, μ = 80Standard deviation, σ = 6.0Let X be a random variable represents the quiz…

Q: The starting salaries of individuals with an MBA degree are normally distributed with a mean of…

A: According to the given information in this question We need to find the probability that MBA degree…

Q: A company manufactures Samsung electronics. The mean resistance for these electronics is 1000 ohms…

A: We have yo find the probability that the mean resistance of these 50 electronics will be 1005 ohms…

Q: For a normally distributed population with a mean of 35 and a standard deviation of 7.5, if a sample…

A:

Q: For a normally distributed population with a mean of 35 and a standard deviation of 7.5, if a sample…

A: The population mean is 35. The population standard deviation is 7.5. The sample size is 50. We have…

Q: 4 An LED lightbulb manufacturer produces lights with a mean lifespan of 10,000 hours and a standard…

A: Given information- Population mean µ = 10,000 hours Population standard deviation, σ = 1,000 hours…

Q: fertility rate is the number of births per 1000 women aged 15-44. The mean fertility rate of the 50…

A: According to the given information in this question We need to find the following probability

Q: Given a normal population with mean = 39 and variance = 16, what is the probability of obtaining an…

A:

Q: Suppose that we know that 33.8% of the people born in the United States between 1936 and 1951 have…

A:

Q: manufacturer claims their batteries have an average life of 5 years with a standard deviation of 1.3…

A: Given that.   X~N( μ , ?)   μ=5    , ?=1.3  , n=25   Z-score =( x - μ )/?

Q: Suppose that heights of women at UT Tyler are normally distributed with a mean of 64 inches and a…

A: It is given that the mean is 64 and standard deviation is 2.4.

Q: For a normally distributed population with a mean of 35 and a standard deviation of 7.5, if a sample…

A: Solution: We are given:

Q: A typical adult has an average IQ score of 105 with a standard deviation of 20. If 20 randomly…

A: Concept of sampling distribution of sample mean: Let a particular characteristic of a population is…

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: Suppose the heights of a group of people follow a normal distribution with a mean of 170 cm and a…

A: The formula of z score is             z=x-μσ From the given data Mean = µ = 170,  Standard deviation…