A study found that the mean amount of time cars spent in drive-throughs of a certain fast-food restaurant was 145.1 seconds. Assuming drive-through times are normally distributed with a standarddeviation of 29 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 106 seconds?The probability that a randomly selected car will get through the restaurant's drive-through in less than 106 seconds is(Round to four decimal places as needed.)

The mean of the distribution, secondsThe standard deviation of the distribution, seconds

Answered: A study found that the mean amount of…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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the scores on the SAT form a normal distribution, with mean =500 and SD=100. What is the probability of getting a raw score of 41 and 44?

Customers at a popular restaurant spend on average $32.30 per person. Assume that the amount spent follows approximately a normal distribution with a standard deviation of $5.25. What is the probability that a randomly selected customer will spend more than $40.00? • Below what cost do the 20% of customers paying the least spend?
The weekly earnings of shift supervisors in the glass industry follow a normal probability distribution with a mean of $1,000 and a standard deviation of $100. What is the z value of income X of a supervisor who earns $1,100 per week? What about a supervisor who makes $900 a week?
Suppose a geyser has a mean time between eruptions of 86 minutes. If the interval of time between the eruptions is normally distributed with standard deviation 28 minutes, answer the following questions. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). C (a) What is the probability that a randomly selected time interval between eruptions is longer than 98 minutes? The probability that a randomly selected time interval is longer than 98 minutes is approximately. (Round to four decimal places as needed.)
The annual income for a sample of 450 part-time students is normally distributed with a mean income of $31,000 and a standard deviation of $3,000. What is the probability their annual income is $22,000-$28,000? Do not use Excel Use Z SCORE
An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 130 lb and 181 Ib. The new population of pilots has normally distributed weights with a mean of 136 Ib and a standard deviation of 26.1 lb. 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 130 Ib and 181 Ib. The probability is approximately 0.5486. (Round to four decimal places as needed.) b. If 38 different pilots are randomly selected, find the probability that their mean weight is between 130 Ib and 181 Ib. The probability is approximately (Round to four decimal places as needed.)
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.)
In a recent poll, 45% of survey respondents said that, if they only had one child, they would prefer the child to be a boy. Suppose you conducted a survey of 160 randomly selected students on your campus and find that 79 of them would prefer a boy. Complete parts (a) and (b) below. Click here to view the standard normal distribution table (page 1). LOADING... Click here to view the standard normal distribution table (page 2). LOADING... (a) Use the normal approximation to the binomial to approximate the probability that, in a random sample of 160 students, at least 79 would prefer a boy, assuming the true percentage is 45%. The probability that at least 79 students would prefer a boy is 3636. (Round to four decimal places as needed.)

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