An elevator has a placard stating that the maximum capacity is 4100 lb-27 passengers. So, 27 adult male passengers can have a mean weight of up to 4100/27= 152 pounds. Assume that weights of males are normally distributed with a mean of 185 lb and a standard deviation of 29 lb. a. Find the probability that 1 randomly selected adult male has a weight greater than 152 lb. b. Find the probability that a sample of 27 randomly selected adult males has a mean weight greater than 152 lb. c. What do you conclude about the safety of this elevator? Round to four decimal places as​ needed

Q: 13. Prove that 11 D A. sitian AA P(EF) = P(E) – P(EF).

A:

Q: the local college is included the mike run in a fitness test for seniors. suppose the time for this…

A: Given Information: Mean μ=469 seconds Standard deviation σ=50 seconds To find the probability that a…

Q: An airliner carries 100 passengers and has doors with a height of 70 in. Heights of men are normally…

A: Given that an airliner carries 100 passengers and has doors with a height of 70 in. Heights of men…

Q: Given a normal population whose mean is 665 and whose standard deviation is 24, find each of the…

A: The following information has been given: The population mean is μ=665. The population standard…

Q: Given a normal population whose mean is 325 and whose standard deviation is 73, find each of the…

A: GivenMean(μ)=325standard deviation(σ)=73

Q: The weight of small dogs can be modelled by a normal distribution with a mean weight of 8.4 kg and a…

A: The provided information is:

Q: An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots…

A: Given that mean 158lb and a standard deviation of 30.7lb  we have to find  A)pilot is randomly…

Q: The salary for workers at a company are normally distributed with a mean of $60,000 and a standard…

A: # Given: salary of workers follow normal distribution with mean mu=$60000 and standard deviations…

Q: The partial pressure of oxygen, PaO2, is a measure of the amount of oxygen in th blood. Assume that…

A: From the given information, μ=38σ=9 Here, the readings follows normal distribution. A. The PaO2…

Q: An elevator has a placard stating that the maximum capacity is 4000 lb-27 passengers. So, 27 adult…

A: The question is about normal distribution.Given :Population mean weight of males (  ) = 186…

Q: An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots…

A: Given An engineer is going to redesign an ejection seat for an airplane. The seat was designed for…

Q: About 2% of the population has a particular genetic mutation. Suppose 100 people are randomly…

A: Givenp=2%=0.02n=100x~Binomial(n=100,p=0.02)P(X=x)=(nx)(p)x(1-P)n-x  ; x=0,1,2...,n

Q: An elevator has a placard stating that the maximum capacity is 4300 lb-28 passengers.​ So, 28 adult…

A: Answer  Given  a mean of 178 lb. and a standard deviation of 28lb.

Q: The salaries of elementary echool teachere are normally dietributed with a mean of $32,000 and a…

A:

Q: The length of a fully grown hibiscus plant is normally distributed and has a mean 35cm. It is found…

A: Normal Distribution: A continuous random variable X is said to follow Normal distribution with…

Q: The length of a fully grown hibiscus plants is normally distributed and has a mean of 35cm and a…

A: Given that,Mean(μ)=35standard deviation(σ)=4     The random variable  is length of fully grown…

Q: Based on Aircraft Safety Council of Country PQR, an average of 18 aircraft accidents occurred each…

A: Given,an average aircraft accidents occurred each year is 18so an average aircraft accidents…

Q: The final exam scores in a statistics class were normally distributed with a mean of 63 and a…

A:

Q: The breaking distances from a speed of 60 mph to a complete stop on dry pavement are normally…

A: From the given information,Let the x be a random variable that represent the breaking distance which…

Q: following: 1. The probability that a randomly selected car will exceed 4200 pounds. Round to 3…

A: It is given thatMean, μ = 3880Standard deviation, σ = 834Z-Score, Z = ( X - μ )/σwhere, Z be the…

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 lengths of pregnancies are normally distributed with a mean of 266 days and a standard…

A:

Q: Assume that a randomly selected subject is given a bone density test. Those test scores are normally…

A: It is given that the test scores follow normal distribution with mean 0 and the standard deviation…

Q: he average number of minutes per week that teenagers spend texting is 240.0 . Assume the standard…

A: Given data, μ=240σ=72If n=64P(230<X<250)=?

Q: A card is drawn one at a time from a well-shuffled deck of 52 cards. In 13 repetitions of this…

A:

Q: The salary for workers at a company are normally distributed with a mean of $60,000 and a standard…

A: Given  Mean = 60000 Standard deviation = 9000 Sample size = 36 Z score formula = (x -mu)/s/√n

Q: Assume the credit card balances of younger college educated employed persons are normally…

A:

Q: During a wisdom teeth removal procedure, 1, 2, 3, or 4 wisdom teeth are removed, depending on the…

A: (a) Obtain the mean of the sampling distribution of the sample mean. The mean of the sampling…

Q: All the houses in Stanton county have a mean size of 1650 square feet with a standard deviation of…

A:

Q: The percent fo Coloradans that own a Subaru is 56%. If you were to take a random sample of size 70,…

A: We have given that,  Let X be the random variable from binomial distribution with probability (p) =…

Q: The length of a fully grown plant is normally distributed and has a mean 35cm. It is found that 5%…

A: Solution: (1). Find the standard deviation: Denote the length of a fully grown plant with the random…

Q: The average score of all golfers for a particular course has a mean of 61 and a standard deviation…

A: Mean()=61Standard deviation()=4Sample size(n)=64

Q: A person records the speeds of various cars as they drive past their house. After 100 readings, the…

A: Given,mean(μ)=23.84standard deviation(σ)=3.56

Q: The heights of a group of athletes are modeled by a normal distribution with mean 180 cm and…

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: Assume that a randomly selected subject is given a bone density test. Those test scores are normally…

A: Answer:- Given, Bone density test scores (X) are normally distributed with a mean of 0 and a…

Q: 1, the mean number of goldfish in the package is 187. find the probability of choosing a package…

A: Thanks for posting the question. Since multiple questions are posted, we will answer one question…

Q: As part of a study, 800 college football players are randomly chosen and their weights taken. The…

A:

Q: Given a normal population whose mean is 320 and whose standard deviation is 58, find each of the…

A: Given, Mean, μ = 320Standard deviation, σ = 58Let X be a random variable which represents the normal…

Q: f the weighte of 8000 men followe a normal dietribution with mean 67 k and the standard deviation 10…

A: How many weights are less than 60kg?

Q: Suppose 50% of the bumblebee bats are female. 25 bumblebee bats are selected at random and the…

A: Given that n =25 , p= 0.5

Q: A grocer finds that the cantaloupes in his store have weights with mean 0.7 kg and standard…

A: Given, Mean weight of cantaloupes is 700 gm. Standard deviation is 53 gm

Q: The length of a fully grown nibiscus plants is normally distributed and has a mean of 35cm. It is…

A: It is given that mean is 35.

Q: Nick has collected data to find that the body weights of the forty students in a class has a normal…

A: Given: According to the empirical rule,