A 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 of a rating that is between 200 and 275.

Q: 6. The size of fish is very important to commercial fishing. A study conducted in 2012 found the…

A: From the provided information, Mean (µ) = 42.1 cm Standard deviation (σ) = 2.98 cm X~N (42.1, 2.98)…

Q: The average age of accountants is 53 years, with a standard deviation of 5 years. If an accounting…

A: We have to find probability..

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

A: (a)   Obtain the probability that pregnancy will last 307 days or longer. The probability that…

Q: You are to write down on a piece of paper the number of credits you are taking this semester. Your…

A: Give the general format for solving this problem as below. Summarize the recorded date of number of…

Q: Temperatures in a city are distributed approximately normal, with a mean of 73 degrees fahrenheit…

A:

Q: The weights of steers in a herd are distributed normally. The standard deviation is 300lbs and the…

A: Solution: Let X be the weights of steers in a herd. From the given information, X follows normal…

Q: 95% of 80 freshman history students scored between 70% and 80% on a take home quiz. If this data is…

A: Given,  n=80 α= (1-0.95) =0.05 Let X denote the score of freshmen. As per t-distribution table, the…

Q: alespeople for a solar technology company have average annual sales of $200,000, with a standard…

A: Statistics is a branch of mathematics that gives us the tools to deal with large quantities of data…

Q: Salespeople for a solar technology company have average annual sales of $400,000, with a standard…

A:

Q: The test scores are normally distributed with a mean of 78 and a standard deviation of 9. If 39…

A: Obtain the probability that the average score is between 80 and 84. The probability that the average…

Q: Cody took his first physics exam and scored an 80. The population mean for this exam is 70, and the…

A: Solution: It is given that, Population mean, 70 Standard deviation, 5 Given that Cody took his first…

Q: The net weight of a can of salmon is a random variable with a mean of 6.07 ounces and a standard…

A:

Q: The mean of a distribution is 14 and the standard deviation is 5.

A: Given information: The mean of the distribution is 14 and the standard deviation is 5. Formula for…

Q: The weights of steers in a herd are distributed normally. The standard deviation is 200 lbs and the…

A: From the above given data the following solution is provided below:

Q: Find the probability that a sample of 18 has a sample mean below 32. The population mean is 24 and…

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

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

A: From the given information,   Mean = 705 Standard deviation = 32 Sample size = 50

Q: A researcher showed the mean of weights of college football players to be 200 pounds with a standard…

A:

Q: A population has a mean of u = 30. If 3 points are added to each score, what is the mean for the new…

A: Given :  Mean(μ)=30 and N=3

Q: You want to determine the probability that when seven consumers are randomly selected, exactly two…

A: 1. n = 7, x = 2, p = 0.45, q = 0.552. Mean, μ = 3.15    Standard Deviation, σ = 1.31623. P(X = 2) =…

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: ind the probability that a voice recorder will last between 2.8 and 6 years. Find the 70th…

A: Let X denote the voice recorder and it follows normal distribution with mean of μ=4.1 years and…

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

A: It is given that the ratings are normally distributed with mean 200 miles and standard deviation 50.

Q: The weights of college football players are normally distributed with a mean of 193 pounds and a…

A: Mean = 193 Standard deviation = 53

Q: Find the indicated probability. The weekly incomes of a summer intern in Tesla are normally…

A: Given data,Mean μ=1500sd    σ=300P(X<1200)=?

Q: Gülce spends 8 hours for Roblox per day. If the probability of spending less than 6 hours in a…

A:

Q: IQ is normally distributed with a mean of 100 and a standard deviation of 15. Suppose one individual…

A: Let X = IQ of an individual.  The probability that the person has an IQ greater than 140.

Q: The amount that people pay for their cellphone service is normally distributed with a mean of $136…

A:

Q: Trucks in a delivery fleet travel a mean of 100 miles per day with a standard deviation of 38 miles…

A:

Q: The body temperatures of adults are normally distributed with a mean of 98.6° F and a standard…

A: Z= x¯-μσn~N(0,1) n  = 36 , x¯ = 98.6 , μ = 98.6 , σ = 0.6

Q: Find the indicated probability. The incomes of trainees at tthe local mill are normally distributed…

A:

Q: please help .

A:

Q: Brenda has collected data to find that the finishing times for cyclists in a race has a normal…

A: Given the finishing time for cyclists in a race has normal distribution with mean 143 minutes and…

Q: Solve the problem. Assume that mountain lions' weights are normally distributed with a mean of 62.6…

A: We have given that,  X be the random variable from normal distribution with mean (μ) = 62.6 ,…

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: The electric bills for all households in a large city have the normal distribution with a mean of…

A:

Q: The weights of steers in a herd are distributed normally. The standard deviation is 200lbs and the…

A: Answer:- Given , The standard deviation, σ = 200lbs  The mean steer weight, μ = 1300lbs  Using…

Q: SAT tests have a mean of 500 and a standard deviation of 100. They are normally distributed. Amy got…

A: Given data normally distributed with mean = 500 and standard deviation = 100.Let ‘X’ be a normal…

Q: The weights of steers in a herd are distributed normally. The standard deviation is 200lbs and the…

A:

Q: A maths class has 100 members. If there is a 15% absentee rate per class meeting , find the standard…

A:

Q: In a survey, 80% of the voters support a particular referendum.  If 30 voters are chosen, find the…

A: Number of voters(n)=30∵80% of the voters support a particular referendum i..e. p=0.80

Q: The lifespans of lizards in particular zoo are normally distributed. The average lizard lives 3.1…

A: It is given that the lifespans are normally distributed with an average lifespan of 3.1 years.   It…

Q: The golf scores for a school team were normally distributed with a mean of 68 and a standard…

A: Normal distributionPopulation mean : Population standard deviation : The probability that a golfer…

Q: If an applicant is randomly selected, find the probability that the applicant's rating will be…

A: Let X denotes the applicant's ratings. Given that X follows N(mean = 200, SD = 50), then Z = (X -…

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.