Assume that the weights of individuals are independent and normally distributed with a mean of 160 pounds and a standard deviation of 30 pounds. Suppose that 25 people squeeze into an elevator that is designed to hold 4300 pounds. (a) What is the probability that the load (total weight) exceeds the design limit? Round your answer to four decimal places (e.g. 98.7654). (b) What design limit is exceeded by 25 occupants with probability 0.0001? Round your answer up to the nearest integer.

Q: The average number of electronic messages received in a day on a smartphone is 15. If the standard…

A: Given information: μ=15σ=4

Q: A particular fruit's weights are normally distributed, with a mean of 235 grams and a standard…

A: We have given that.   X~N( μ , ?^2 )   μ =235 , ? = 24    Z-score =( x - μ )/?

Q: The average hourly charge of plumbers in the Denver area is $84.00 with a standard deviation of…

A: Let X= charges of plumbers in the Denver area Given that X follows a normal distribution with mean=…

Q: The time spent waiting in the line is approximately normally distributed. The mean waiting time is 5…

A: According to the given information, we have Mean = 5 minutes Standard deviation = 1 minutes

Q: Exercise 1: The weight of a random scone sold by your favorite bakery has a mean of 105g I a…

A: Given: μ = 105 σ = 5 Formula Used: Z-score= X-μσn

Q: Some believe that captain America can run the fastest mile of any person alive. In order to test…

A: The mean is 138 seconds and the 16 seconds.

Q: The probabilities that fast – food restaurant sells 10, 20, 30, 50, 100 burgers daily are 0.20,…

A:

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

A: Given that.   X~N( μ , ?)   μ=1200   , ?=300   Z-score =( x - μ )/?

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

A:

Q: Assume that the height of adult females in the United States is approximately normally distributed…

A: Answer: From the given data, mean (μ) = 66 standard deviation(σ) = 2.6 Sample size(n) =10

Q: d. The standard deviation is e. Find the probability that the time will be at most 13 minutes. f.…

A:

Q: The lengths of large wooden beams are Normally distributed with mean 5 m and standard deviation 10…

A: Let x be the length of large wooden beams are normally distributed with mean μ1=5 m and standard…

Q: A particular fruit's weights are normally distributed with a mean of 632 grams and a standard…

A: Given :

Q: The mean height of male College Students In a large City is 68 inches an d the Staodard deviation Is…

A:

Q: Find the probability that the mean height of the sample is greater than 58 inches.

A: Assume that the height of adult females in the United States is approximately normally distributed…

Q: A particular fruit's weights are normally distributed, with a mean of 376 grams and a standard…

A: given data normal distributionμ = 376σ = 38P(315<x<357) = ?

Q: The weights of newborn baby boys born at a local hospital are believed to have a normal distribution…

A:

Q: The reading speed of second grade students in a large city is approximately normal, with a mean of…

A: (B) Let X be the random variable from normal distribution with mean (μ) = 88, standard deviation (σ)…

Q: A particular fruit's weights are normally distributed with a mean of 288 grams and a standard…

A: Solution

Q: Billiard tables have mean degree of balance 0 and standard deviation 1 What is the probability…

A: It is given that the mean and standard deviation are 0 and 1.

Q: (a) What is the probability that next year the total precipitation for New York State is more than…

A: (a) The random variable X is defined as the annual precipitation amount which follows normal…

Q: Assume the average number of fatal crashes caused by sleep-deprived drivers each year is 2,000.…

A: The mean is 2,000 and the standard deviation is 275.

Q: X is a normally distributed random variable with mean 61 and standard deviation 23. What is the…

A:

Q: The time spent waiting in the line is approximately normally distributed. The mean waiting time is 5…

A: Here, mean is 5 and standard deviation is 3. We will use z-standard normal distribution.

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 level of blood glucose and diabetes in adults are related. Let X be a random variable measured…

A:

Q: The weight of all 5 pound bags of flour is Normally distributed with mean 5 pounds and standard…

A: Solution: Let X be the weight of all 5 pound bags of flour. From the given information, X follows…

Q: Assume that men's weights are normally distributed with mean 182.9 pounds and standard deviation…

A: Solution

Q: A government sample survey plans to measure the total cholesterol level of an SRS of men aged 20-34.…

A: Note: As it is not logical that “the probability that x falls within + or -2 milligrams per…

Q: The weights of steers in a herd are distributed normally. The standard deviation is 200lbs200⁢lbs…

A: The objective of this question is to find the probability that the weight of a randomly selected…

Q: The systolic blood pressure of adults in the USA is nearly normally distributed with a mean of 120…

A: Given that.   X~N( μ , ?^2 )   μ=120     , ?=26   Z-score =( x - μ )/?   NOTE:- According to…

Q: ortion of firms will earn a return between 4% and 8%? B   To the nearest percent find the…

A: given: mean (μ)= 7.5 standard deviation(σ)=2.5

Q: A professor knows that her statistics students' final exam scores have a mean of 79 and a standard…

A:

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

A:

Q: After collecting the data, Maria finds that the employee turnover for a certain company is normally…

A:

Q: ales that average delly high temperature in June in a particular city with a standard deviation of…

A: Given Information: The average daily temperature in June in a particular day is 86°F with a standard…

Q: Assume that a root beer factory’s production is normally distributed with a mean of 100,000 gallons…

A: We have to use normal distribution for finding the probability.

Q: Suppose that the speed at which cars go on the freeway is normally distributed with mean 68 mph and…

A: X~N( μ , ?)μ=68     , ?=5Z-score =( x - μ )/?