An elevator has a placard stating that the maximum capacity is 3600 lb-25 passengers. So, 25 adult malepassengers can have a mean weight of up to 3600/25=144 pounds. Assume that weights of males are normallydistributed with a mean of 185 lb and a standard deviation of 28 lb.3a. Find the probability that 1 randomly selected adult male has a weight greater than 144 lb.b. Find the probability that a sample of 25 randomly selected adult males has a mean weight greater than 144 lb.c. What do you conclude about the safety of this elevator?an examplea. The probability that 1 randomly selected adult male has a weight greater than 144 lb is(Round to four decimal places as needed.)F8Get more help.F9*aDELLF10(...F11F12Clear allCheck answer86°F Mostly sunny ALPrtScr InsertDelete

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Answered: An elevator has a placard stating that…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Data from the Bureau of Labor Statistics’ Consumer Expenditure Survey show that annual expenditures for cellular phone services per consumer unit increased from $235 in 2001 to $611 in 2007. Let the standard deviation of annual cellular expenditure be $42 in 2001 and $162 in 2007. What is the probability that the average annual expenditure of 136 cellular customers in 2001 exceeded $234? What is the probability that the average annual expenditure of 136 cellular customers in 2007 exceeded $577?
Assume that the heights of American men are normally distributed with a mean of 69.1 inches and a standard deviation of 3.3 inches. Of the 44 presidents elected from 1789 through 2016, 19 were 6'0" or taller. The proportion of all men that will be taller than 6'0" is 0.18976. If the 44 presidents could be considered a random sample of 44 American men, how many standard deviations above the mean would an observation of 19 out of 44 of the men being 6'0" tall or taller be? (Hint: We can consider the number of men 6'0" tall or taller in a random sample of 44 men to be a binomial random variable where the probability of selecting a man 6'0" tall or taller is the proportion of American men 6'0" tall or taller. Round your answer to two decimal places.) Z = ?
An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 150 lb and 211 lb. The new population of pilots has normally distributed weights with a mean of 159 lb and a standard deviation of 31.8 lb.a. If a pilot is randomly selected, find the probability that his weight is between 150 lb and 211 lb. The probability is approximately b. If 31 different pilots are randomly selected, find the probability that their mean weight is between 150 lb and 211 lb. The probability is approximately c. When redesigning the ejection seat, which probability is more relevant?
During a wisdom teeth removal procedure, 1, 2, 3, or 4 wisdom teeth are removed, depending on the patient's needs. Records indicate that nationwide, the mean number of wisdom teeth removed in a procedure is u= 3.50, with a standard deviation of o=1.27. Suppose that we will take a random sample of 6 wisdom teeth removal procedures and record the number of wisdom teeth removed in each procedure. Let ī represent the sample mean of the 6 procedures. Consider the sampling distribution of the sample mean x. Complete the following. Do not round any intermediate computations. Write your answers with two decimal places, rounding if needed. (a) Find (the mean of the sampling distribution of the sample mean). (the standard deviation of the sampling distribution of the sample mean). ?
The length of a fully grown plant is normally distributed and has a mean 35cm. It is found that 5% of these plants are longer than 45cm. 1. Find the standard deviation. 2. When plants are chosen for sale, those shorter than 30cm.are rejected. Find the probability that a plant will be rejected.
The average cholesterol content of a certain canned goods is 215milligrams, and the standard deviation is 15 milligrams. Assume the variable is normally distributed. If a canned good is selected, what is the probability that the cholesterol content will be greater than 200 milligrams?
An elevator has a weight capacity of 2000 pounds. Assume the weights of us men have a mean of 190 with a standard deviation of 25 pounds. If 10 men enter the elevator; what is the probability the elevator will be over capacity?
Suppose that heights of women in Utah are normally distributed with a mean of 74 inches and a standard deviation of 3.4 inches. Find the probability that a randomly chosen woman is between 62 and 68 inches tall. Find the probability that a randomly chosen woman is taller than 80 inches tall. Find the 95th percentile. inches
In a departamental examination in statistics given to 500 students, the mean score was 75 with a student deviation of 8. If the scores were approximately normally distributed.Any descriptive value calculated from a population is calleda. statisticsb. parameterc. meand. probability
At the U.S. Open Tennis Championship a statistician keeps track of every serve that a player hits during the tournament. The statistician reported that the mean serve speed was 100 miles per hour (mph) and the standard deviation of the serve speeds was 15 mph. Assume that the statistician also gave us the information that the distribution of serve speeds was mound-shaped and symmetric. What percentage of the player's serves were between 110 mph and 144 mph?
The weights of ice cream cartons are normally distributed with a meanweight of 10 ounces and a standard deviation of 0.5 ounce. You randomly select 4 cartons. What is the probability that their mean weight is greater than 10.40 ounces?
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