bank’s loan officer rates applicants for credit.  The ratings are normally distributed with a mean  of 200 and a standard deviation of 50.  If an applicant is randomly selected, find the probability that the rating is between 200 and 275.

Q: The starting salary for a computer programmer major has a mean of $39,269 and a standard deviation…

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 average credit card debt for college seniors is $3000. If the debt is normally distibuted with a…

A: A) The senior owes at least $1200

Q: The grades of a statistics midterm are normally distributed with a mean of 70 and a standard…

A: Given, The grades of a statistics midterm are normally distributed with a mean of 70 and a standard…

Q: What is the probability that a randomly selected individual with an MBA degree will get a starting…

A: Given:  Let x be the starting salary of individual from normal distribution with mean u= $40000 and…

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

A: The normal distribution is the most useful theoretical distribution for continuous variables.…

Q: The long-distance calls made by South Africans are normally distributed with a mean of 16.3 minutes…

A: Given,mean(μ)=16.3standard deviation(σ)=4.2

Q: The life expectancy of a particular brand of tire is normally distributed with a mean of 30,000 and…

A: Given that.   X~N( μ , ?^2 )   μ=30000    , ?=6000   Z-score =( x - μ )/?

Q: Bundles of firewood are normally distributed with a mean of 20 pounds, and a standard deviation of 2…

A: According to the given information, we have Mean = 20 Standard deviation = 2 Z score = 1.50

Q: The expected (mean) life of a particular type of light bulb is 1,000 hours with a standard deviation…

A: Given  Mean = 1000 hrs Standard deviation = 50 hrs To calculate probability for X > 1150 hrs

Q: Tom's commuting time from his residence in Carmel to the IUPUI campus has a normal distribution.…

A: Given that  The Tom's commuting time from his residence in Carmel to the IUPUI campus has a normal…

Q: The battery life of a fully charged cell phone is normally distributed, with a mean of 14 hours and…

A:

Q: The grades of a statistics midterm are normally distributed with a mean of 70 and a standard…

A:

Q: The lengths of human pregnancies are normally distributed with a mean of 268 days and a standard…

A: Z=x-μσ~N(0,1) μ=268, σ=15

Q: The number of miles on a car when a certain part fails is normally distributed, with a mean of…

A:

Q: The weight of football players is normally distributed with a mean of 180 pounds and a standard…

A:

Q: The weight of football players is normally distributed with a mean of 200 pounds and a standard…

A: According to the provided information, Mean (μ) = 200 Standard Deviation (σ) = 25

Q: The monthly utility bills in a city are normally​ distributed, with a mean of ​$100 and a standard…

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

Q: A tire company finds the lifespan for one brand of its tires is normally distributed with a mean of…

A: GivenMean(μ)=48200standard deviation(σ)=5000

Q: Suppose the weight of dogs is normally distributed with a mean of 35 pounds and a standard deviation…

A: Given,   Mean = 35 Standard deviation = 5   The objective is to find the probability a dog weighs…

Q: A banks loan officer rates application for credit. The ratings are normally distributed with a mean…

A:

Q: The lifespan of a laptop battery is normally distributed. If the mean lifespan of a battery is 4…

A:

Q: The average GPA at the University of North Carolina is 3.2, with a standard deviation of 0.3. Assume…

A: According to the provided information, Mean (μ) = 3.2 Standard Deviation (σ) = 0.3

Q: A study of the amount of time it takes a mechanic to rebuild the transmission for a 2005 Chevrolet…

A: Given,mean(μ)=8.4standard deviation(σ)=1.8sample size(n)=40

Q: The tread life of a particular brand of tire is a random variable best described by a normal…

A: Let X be the tread life of a particular brand of tire follows normal distribution with mean of…

Q: The lifespan of a laptop battery is normally distributed. If the mean lifespan of a battery is 4…

A: Let , X be the lifespan of a laptop battery. X follows Normal distribution with , Mean = μ = 4 years…

Q: The weight of football players is normally distributed with a mean of 200 pounds and a standard…

A: From the provided information, Mean (µ) = 200 pounds Standard deviation (σ) = 25 pounds X~N (200,…

Q: The commuting time for a student to travel from home to a university campus is Normally distributed…

A: Let X be the commuting time for a student to travel from home to a university campus is Normally…

Q: The expected (mean) life of a particular type of light bulb is 1,000 hours with a standard deviation…

A: According to the provided information, mean = 1000 standard deviation = 50

Q: The heights of strawberry plants are Normally distributed with a mean of 12 inches 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 waitress believes the distribution of her tips has a model that is slightly skewed to the right​,…

A: a) The probability that she will earn at least $350 is obtained below: From the given information,…

Q: The results of a nationwide aptitude test in mathematics are normally distributed with 80 as the…

A: Solution

Q: On a mathematics test in a high school, scores are normally distributed with a mean of 77 and a…

A: Given that.   X~N( μ , ?^2 )   μ=77     , ?=16.8   Z-score =( x - μ )/?

Q: The lifetime of a particular brand of AA batteries follows a normal distribution. The mean lifetime…

A: Correct answer is d. 0.8944

Q: The average number of pounds of red meat a person consumes each year is 196 with a standard…

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

Q: What is the probability that the jewelry store will have to pay off on its promise?

A:

Q: A study found that the heights of college males follow a normal distribution with a mean of 70…

A: Given information- Mean height, μ = 70 inches Standard deviation, σ = 2.5 inches We have to find the…

Q: A recent analysis of the number of rainy days per month found the following outcomes and…

A: Solution x P(x) x*P(x) x2 x2*P(x) 3 0.4 1.2 9 3.6 4 0.2 0.8 16 3.2 5 0.4 2 25 10

Q: Given the population of men has normally distributed weights with a mean of 172 lb and a standard…

A: Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.…

Q: Suppose annual salaries for sales associates from Hayley's Heirlooms have a bell-shaped distribution…

A: It is given that the annual salaries are distributed bell shaped (approximately normal) with mean of…

Q: A banks loan officer rates application for credit. Their ratings are normally distributed with a…

A: Mean = 200 Standard deviation = 50 Sample size, n = 40

Q: . What is the value of the standard deviation of the sampling distribution? A. 0.08 B. 0.4 C. 1.2…

A: We have given that  Standard deviation, σ = 0.4 Sample size, n = 25

Q: A private entity has recorded that the population average of unemployed persons per year in a city…

A: Probability:          Let the total number of possibilities be n and the number of…

Q: In​ 2008, the per capita consumption of soft drinks in Country A was reported to be 19.28 gallons.…

A:

Q: Gas mileage of vehicles follows a normal curve.  A Ford Escape claims to get 25 mpg highway, with a…

A: We have given that,  X be the random variable from normal distribution with mean (μ) = 25 and…

Q: The diameter of an electric cable is normally distributed, with a mean of 0.9 inch and a standard…

A: Given data: The given mean is xm=0.9 inch. The given standard deviation is σ=0.02 inch. The given…

Q: A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean…

A: Comments: Hi! Thank you for the question, As per the honor code, we are allowed to answer one…

Q: The number of hours spent per week on household chores by all adults has a mean of 28 hours and a…

A:

Q: Given X is a normally distributed random variable with a mean of 155 and a standard deviation of…

A:

Q: The salaries ofelementary school teachers are normally distributed with a mean of $32,000 and a…

A:

Q: The lifetime of a particular brand of AA batteries follows a normal distribution. The mean lifetime…

A: Correct answer is d. 0.0606

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.