Question Help v A study found that the mean amount of time cars spent in drive-throughs of a certain fast-food restaurant was 147.1 seconds. Assuming drive-through times are normally distributed with a standard deviation of 34 seconds, complete parts (a) through (d) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (a) What is the probability that a randomly selected car will get through the restaurant's drive-through in less than 95 seconds? The probability that a randomly selected car will get through the restaurant's drive-through in less than 95 seconds is 0.0630 (Round to four decimal places as needed.) (b) What is the probability that a randomly selected car will spend more than 205 seconds in the restaurant's drive-through? The probability that a randomly selected car will spend more than 205 seconds in the restaurant's drive-through is 0.0442. (Round to four decimal places as needed.) (c) What proportion of cars spend between 2 and 3 minutes in the restaurant's drive-through? The proportion of cars that spend between 2 and 3 minutes in the restaurant's drive-through is (Round to four decimal places as needed.)

Question Help v A study found that the mean amount of time cars spent in drive-throughs of a certain fast-food restaurant was 147.1 seconds. Assuming drive-through times are normally distributed with a standard deviation of 34 seconds, complete parts (a) through (d) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (a) What is the probability that a randomly selected car will get through the restaurant's drive-through in less than 95 seconds? The probability that a randomly selected car will get through the restaurant's drive-through in less than 95 seconds is 0.0630 (Round to four decimal places as needed.) (b) What is the probability that a randomly selected car will spend more than 205 seconds in the restaurant's drive-through? The probability that a randomly selected car will spend more than 205 seconds in the restaurant's drive-through is 0.0442. (Round to four decimal places as needed.) (c) What proportion of cars spend between 2 and 3 minutes in the restaurant's drive-through? The proportion of cars that spend between 2 and 3 minutes in the restaurant's drive-through is (Round to four decimal places as needed.)

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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Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!

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An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 120 Ib and 161 Ib. The new population of pilots has normally distributed weights with a mean of 125 lb and a standard deviation of 26.8 Ib. Click here to view page 1 of the standard normal distribution. Click here to view page 2 of the standard normal distribution. a. If a pilot is randomly selected, find the probability that his weight is between 120 lb and 161 Ib. The probability is approximately 0.4844 . (Round to four decimal places as needed.) b. If 30 different pilots are randomly selected, find the probability that their mean weight is between 120 Ib and 161 lb. The probability is approximately (Round to four decimal places as needed.)
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