The production of AN Screws states that the mean length for AN screws is 3.2 cn. Also,it is kuown that the probability of a randomly selected AN sCrew would measure morethan 3.8 cm is p and the probability that a randomly selected AN screw wonld measureless than 2.8 cm is q. Suppose that the production of AN screws is tommally distributed,then the probability that a randomly selected AN screw will mcusure between 2.6 cm and3.6 cm isHint: Draw the curve of the Normal distribution and use its symmetry1-2pO 1-p-q1-p+qO 1-29

Assume, X be the random variable representing the length of screws (in cm). It is mentioned that X…

Answered: The production of AN screws states 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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The results of a survey indicates that the time a shopper spends in a supermarket is approximately normally distributed with an average of 45 minutes and a standard deviation of 12 minutes. A shopper enters the store. a) Sketch the distribution. b) Find the probability that the shopper will be in the store for between 9 and 57 minutes. c) Find the probability that the shopper will be in the store for more than 33 minutes. d) 200 shoppers enter the store in the early evening, approximately how many shoppers would be expected to finish shopping in less than one hour and nine minutes?
Suppose that an airline uses a seat width of 16.1 in. Assume men have hip breadths that are normally distributed with a mean of 14.5 in. and a standard deviation of 1.1 in. Complete parts (a) through (c) below. (b) If a plane is filled with 126 randomly selected men, find the probability that these men have a mean hip breadth greater than 16.1 in.
Suppose that the average song length in America is 4 minutes with a standard deviation of 1.25 minutes. It is known that song length is not normally distributed. Find the probability that a single randomly selected song from the population will be longer than 4.25 minutes. Round to the nearest thousandth. a) 0.421 b) 0.079 c) 0.579 d) This probability cannot be determined because we do not know the distribution of the population
Suppose that the speed at which cars go on the freeway is normally distributed with mean 67 mph and standard deviation 9 miles per hour. Let X be the speed for a randomly selected car.a. What is the distribution of X? X ~ N( ? , ? )b. If one car is randomly chosen, find the probability that it is traveling more than 65 mph. Round to 4 decumal places. ?c. If one of the cars is randomly chosen, find the probability that it is traveling between 69 and 74 mph. Round to 4 decimal places. ?
Suppose that an airline uses a seat width of 16.7 in. Assume that men have hip breadths that are normally distributed with a mean of 14.2 inches, and a standard deviation of 1in. Find the probability that if an individual man is randomly selected that his hip breadths will be greater than 16.7 in.
The sardines processed by a cannery have a mean of 4.54 inches with a standard deviation of 0.635 cm on its length. If the distribution can be approximated closely with a normal distribution, a) What percentage of the sardines is shorter than 4 inches? b) The middle 70% of the distribution will be between what two lengths? c) If 200 samples are taken, what is the probability that the sardines' length is more than 11.684 cm?
The probability that a restaurant passes itshealth department inspection is 0.94. Theowners of 58 restaurants are surveyed to seeif their restaurants passed inspection. Find the standard deviation. A) 1.8245 B) 2.1040 C) 1.8086 D) 1.8655 E) 2.3589
The heights of palm trees along a beach are normally distributed with a mean of 4.55m and a standard deviation of 0.37m. a) Find the probability that a randomly chosen tree has a height greater than 4.55m. b) Find the probability that a randomly chosen tree will be within 2 standard deviations of the mea Give your answer as an integer percentage. c) Use your graphic display calculator to calculate the probability that a randomly chosen tree will have a height greater than 4m. d) The probability that a particular tree is less than x meters tall is 0.75. Find the value
A variable is normally distributed with mean 12 and standard deviation 4 a.) find the percentage of all possible values of the variable that lie between 4 and 16 b.) find the percentage of all possible values of the variable that exceed 6 c.)find the percentage of all possible values of the variables that are less than 2
answer d and e only
3. The taxi and takeoff time for commercial jets is a random variable x with a mean of 8 minutes and a standard deviation of 3 minutes. Assume that the distribution of taxi and takeoff times is approximately normal. a). Find the probability that for 36 jets the average taxi and takeoff time is less than 8.33 minutes per plane. b). Find the probability that for 36 jets the average taxi and takeoff times is more than 8.55 minutes.
A normal population has a mean μ=20 and standard deviation σ=4 . Round answers up to four decimal places. a) The proportion of the population that is less than 18 is . b) The probability that a randomly chosen value is greater than 25 is

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