A study found that the mean amount of time cars spent in drive-throughs of a certain fast-food restaurant was 152.3 seconds. A normally distributed with a standard deviation of 33 seconds, complete parts (a) through (d) below. (a) What is the probability that a randomly selected car will get through the restaurant's drive-through in less than 112 seconds? The probability that a randomly selected car will get through the restaurant's drive-through in less than 112 seconds is (Round to four decimal places as needed.)

A study found that the mean amount of time cars spent in drive-throughs of a certain fast-food restaurant was 152.3 seconds. A normally distributed with a standard deviation of 33 seconds, complete parts (a) through (d) below. (a) What is the probability that a randomly selected car will get through the restaurant's drive-through in less than 112 seconds? The probability that a randomly selected car will get through the restaurant's drive-through in less than 112 seconds is (Round to four decimal places as needed.)

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...

See similar textbooks

Related questions

Q: Assume that adults have IQ scores that are normally distributed with a mean of 96.8 and a standard…

A: Let "X" be the IQ score of the adults.

Q: Assume that adults have IQ scores that are normally distributed with a mean of 105 and a standard…

Q: Medical research has concluded that people experience a common cold roughly two times per year.…

A: The mean of the normal distribution, The standard deviation of the distribution,

Q: The amount of time it takes students to complete a biology exam is normally distributed with a…

A: Given that, The random variable X is the amount of time takes students to complete a biology exam It…

Q: A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of…

A: Given,Mean, μ = 202.2 cmStandard deviation, σ = 1.8 cmLet X be a random variable represents the…

Q: . What is the probability that the student will get into a college whose entrance score is 550?

Q: If a female is randomly selected, find the probability that her pulse rate is between 69 beats per…

Q: The average number of miles driven on a full tank of gas in a certain model car before its low-fuel…

A: It is given that the mean is 399 and the standard deviation is 36.

Q: A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of…

A: Mean = 139.1 Standard deviation = 1.1

Q: Find the probability that a randomly selected adult has an IQ greater than 129.9.

A: Let X denote the IQ scores. Given that X follows N(mean = 98.6, SD = 18.5), then Z = (X - mean)/SD…

Q: The average GPA at a college is 2.79 with a standard deviation of 0.6. Find the probability that 7…

A: Let X, be the random variable of average GPA at a college follows Normal distribution with a mean…

Q: The average number of pounds of red meat a person consumes each year is 196 with a standard…

A: We are given,μ = 196σ = 22n = 60

Q: the amount of snowfall falling in a certain mountain range is normally distributed with a mean of 88…

A: It is given that the normal distribution has a mean, μ=88 and the standard deviation, σ=16. The…

Q: A tire company makes tires that have a normal distribution with a mean of 65,000 miles with a…

A: Given that Mean= 65000 and standard deviation= 3000

Q: Assume that adults have IQ scores that are normally distributed with a mean of 104.7 and a standard…

A: It is given that the IQ score follows normal distribution with mean 104.7 and standard deviation…

Q: A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of…

A: Let X denote the lengths of the steel rods are normally distributed with a mean of μ=94.6 cm and a…

Q: Data from the Bureau of Labor Statistics’ Consumer Expenditure Survey show that annual expenditures…

A: Given information- For the year 2001- Population mean, µ = $235 Population standard deviation, σ =…

Q: he number of customers at a coffee shop per day follows a normal distribution with a mean of 3,500…

A: given data, normal distributionμ=3500σ=250probability that the coffee shop will serve more than…

Q: A physical fitness association is including the mile run in its secondary-school fitness test. The…

A: According to the given information in this question We need to find the following probability

Q: Assume that adults have IQ scores that are normally distributed with a mean of 98.1 and a standard…

A: Answer:- Given, IQ scores(X) are normally distributed with mean, μ = 98.1 and standard deviation, σ…

Q: The grades of a statistics midterm are normally distributed with a mean of 79 and a standard…

A: Normal distributionμ=79σ=3.5pgrade between74 and 80=?

Q: The green turtle migrates across the Southern Atlantic in the winter, swimming great distances. A…

A: X~N( μ , ?) μ=2200 , ?=625 Z-score =( x - μ )/?

Q: The height of 10 year old females is normally distributed with a mean of 54.8 inches and a standard…

A: It is given that mean and standard deviation are 54.8 inches and 2.74 inches, respectively.

Q: A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of…

A: The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ are the mean…

Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

A study found that the mean amount of time cars spent in drive-throughs of a certain fast-food restaurant was 152.3 seconds. Assuming drive-through times are normally distributed with a standard deviation of 33 seconds, complete parts (a) through (d) below.

(a) What is the probability that a randomly selected car will get through the restaurant's drive-through in less than 112 seconds?

The probability that a randomly selected car will get through the restaurant's drive-through in less than 112 seconds is [ ]. (Round to four decimal places as needed.)

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Given in question

VIEW

Step 2: Probability is given by,

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.

Similar questions

The reading speed of second grade students in a large city is approximately normal, with a mean of 90 words per minute (wpm) and a standard deviation of 10 wpm. What is the probability a randomly selected student in the city will read more than 94 words per minute?
Assume that adults have IQ scores that are normally distributed with a mean of 101.3 and a standard deviation of 20.2. Find the probability that a randomly selected adult has an IQ greater than 136.4
Assume that adults have IQ scores that are normally distributed with a mean of 96.9 and a standard deviation of 17.3. Find the probability that a randomly selected adult has an IQ greater than 116.5.
A report claimed that children between the ages of 2 and 5 watch an average of 25 hours of television per week. Assuming the variable is normally distributed and the standard deviation is 3 hours. If 40 children between the ages of 2 and 5 are randomly selected, find the probability that the mean of the number of hours they watch television will be greater than 26.3 hours.
The probability that a randomly chosen student in a statistics class submits his/her homework on time is 0.39. There is 46 student in the class. Each student does his/her homework independently. What is the standard deviation of X, where X is the number of students who submit the homework on time?
Assume that adults have IQ scores that are normally distributed with a mean of 98.5 and a standard deviation of 16.9. Find the probability that a randomly selected adult has an IQ greater than 125.0
The time that college students spend studying per week have a distribution that skewed to the right with a mean of 8.4 hours and a standard deviation of 2.7 hours. Find the probability that the mean time spent studying per week for a random sample of 40 is less than 7.5 hours.
A certain brand of car tends to break down on average after 115,000miles with a standard deviation of 4800 miles. If 36 cars of this brand are sampled,find the probability that their average breakdown mileage is less than 113,500miles. a. 0.0301 b. 0.3783 c. 0.6217 d. 0.9699
In average, a student reads 29 pages from a textbook each month. Assume astandard deviation is 3 pages. Find the probability of reading(a) between 27 and 31 pages each month(b) more than 30.2 pages per month.