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). 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 0.6207. (Round to four decimal places as needed.) (d) Would it be unusual for a car to spend more than minutes in the restaurant's drive-through? Why? The probability that a car spends more than 3 minutes in the restaurant's drive-through is, so it be unusual, since the probability is V than 0.05. (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). 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 0.6207. (Round to four decimal places as needed.) (d) Would it be unusual for a car to spend more than minutes in the restaurant's drive-through? Why? The probability that a car spends more than 3 minutes in the restaurant's drive-through is, so it be unusual, since the probability is V than 0.05. (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
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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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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).
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 0.6207
(Round to four decimal places as needed.)
(d) Would it be unusual for a car to spend more than 3 minutes in the restaurant's drive-through? Why?
The probability that a car spends more than 3 minutes in the restaurant's drive-through is
|, so it
V be unusual, since the probability is
than 0.05.
(Round to four decimal places as needed.)
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