The time (Y) it takes your professor to drive home each night is normally distributed with mean 15 minutes and standard deviation 2 minutes. Find the following probabilities. Graph the normal distribution and standard normal distributions, and show (shade) the areas that represents the probability you are calculating. a. P( 11 < Y < 19) = b. P (Y ≤ 18) = c. P(Y > 25) =

The time (Y) it takes your professor to drive home each night is normally distributed with mean 15 minutes and standard deviation 2 minutes. Find the following probabilities. Graph the normal distribution and standard normal distributions, and show (shade) the areas that represents the probability you are calculating. a. P( 11 < Y < 19) = b. P (Y ≤ 18) = c. P(Y > 25) =

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

See similar textbooks

Related questions

Q: The average time it takes a group of Senior High School students to complete a certain examination…

A: GivenMean(μ)=48.2standard deviation(σ)=4

Q: The resistance for resistors of a certain type is a random variable X following a normal…

A: Given information Mean µ= 9 ohms Standard deviation σ = 0.4 ohms Acceptable range of resistance is…

Q: t the Heinz ketchup factory, the amounts which go into bottles of ketchup are normally distributed…

A: Note: Please repost remaining subparts as i can author only 3 subparts as per my policy.

Q: The owner of a fish market has an assistant who has determined that the weights of catfish are…

A: Plug in all the values in the formula, we get

Q: There are 4 flights from San Diego to Denver in a given day. The number of flights that will arrive…

Q: hat would be the specified probability from a table of Normal probabilities if necessary conditions…

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

A: GivenMean(μ)=173.1 Standard deviation(σ)=1.5

Q: The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 69…

A: As per Bartleby guideline expert have to answer first question three subparts only dear student…

Q: The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 71…

A: As per our guidelines we are suppose to answer only three sub parts. Given,mean(μ)=71standard…

Q: The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 70…

A: GivenMean(μ)=70standard deviation(σ)=17

Q: A person's blood glucose level and diabetes are closely related. Let x be a random variable measured…

Q: The length of human pregnancies is approximately normally distributed with mean 266 days and…

A: Solution

Q: A lawyer commutes daily from his suburban home to his midtown office. The average time for a one-way…

A: Let X be the time the lawyer takes for a one-way trip. Given X~Nμ=24,σ2=3.82 Given that the lawyer…

Q: Let y be a random variable having a normal distribution with a mean equal to 50 and a standard…

A: a. It is given that the value of mean is 50 and standard deviation is 8. The value of P (38 < y…

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

A: Sampling distribution of x¯ : If simple random sample of size n is drawn from Normal population with…

Q: The survival rate during a risky surgery for patients is 80%. Suppose ten patients undergo this…

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

A: Let X be the length of the steel rods. It is given that X is normally distributed with mean 180.6…

Q: The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 66…

A: Given that. X~N( μ , ?^2 ) μ=66 , ?=14 Z-score =( x - μ )/? NOTE:- According to bartleby…

Q: A manufacturer produces a commodity where the length of the commodity has approximately normal…

A: Let us consider that the length commodity which is produced by a manufacturer is denoted by X which…

Q: An electrical firm manufactures 100-watt light bulbs. These bulbs, according to specifications…

A: Given: X = Life of light bulbs Mean of X = 900 hours Standard deviation of X = 50 hours X is…

Q: An elevator has a placard stating that the maximum capacity is 1860 Ib-12 passengers. So, 12 adult…

A: We have to find probability corresponding to sample mean x¯ Sampling distribution of sample mean (…

Q: A veterinary researcher takes an SRS of 60 horses presenting with colic. The average age of the 60…

A: Given that, μ=10,σ = 8,n= 60 The mean and standard deviation of the sampling distribution of sample…

Q: The time needed to complete a final examination in a particular college course is normally…

A: It is given that the time needed to complete the final exam is normally distributed with mean 79…

Q: The Office of Student Services at a large western state university maintains information on the…

A: It is given that the mean is 20 and the standard deviation is 7.

Q: An elevator has a placard stating that the maximum capacity is 1860 lb-12 passengers. So, 12 adult…

A: Sampling distribution of sample mean:The sample mean of a random variable X has a sampling…

Q: Q.- The length of life of a battery produced by a factory has a normal distribution with a mean of…

A: We have to find probability using z table.

Q: A car engine producer company purchases motor valves from different suppliers.The diameter of the…

A: Let X be the diameter of the valves, that is approximately normally distributed, with mean (μ) =…

Q: The diameter of a brand of tennis balls is approximately normally distributed, with a mean of 2.71…

A: Solution-: Let, X= The diameter of a brand of tennis balls Given: μ=2.71inch,σ=0.03inch ∴X→…

Q: A company sells sunscreen in 500 milliliter (ml) tubes. In fact, the amount of lotion in a tube…

A: Given,Mean μ = 497Standard deviation σ = 6

Q: Motorola used the normal distribution to determine the probability of defects and the number of…

Q: he weight of the gypsum packages filled by the gypsum filling machine in a factory shows a normal…

A: (Since it has been not mentioned which question so, as per our protocol we shall only answer the…

Q: The mean daily production of a herd of cows is assumed to be normally distributed with a mean of 36…

Q: The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 64…

A: GivenMean(μ)=64standard deviation(σ)=16

Q: What is the probability that a randomly selected adult from this age group will get

Q: A professor of statistics noticed that the marks in his course are normally distributed. He also…

Q: The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 74…

A: Given data μ=74 σ=16 Normal distribution

Q: Amy needs to plan inventory ahead for her business and she needs to know how the demand for her…

A: X=Demand for Amy's products X~Normalμ=300,σ=60

Q: The time college students spend on the Internet follows a Normal distribution. At Johnson…

A: Given,mean(μ)=5standard deviation(σ)=1.2sample size(n)=100

Q: Motorola used the normal distribution to determine the probability of defects and the number of…

A: Consider X is the random variable that represents the weight of the ounces. 1) Std dev = 0.15

Q: A particular bakery makes a very popular peanut butter pie. Suppose daily demand follows a Normal…

Q: A person's blood glucose level and diabetes are closely related. Let x be a random variable measured…

A: (a)The probability that x is more than 60 is 0.7967, which is obtained below:

Q: The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 64…

A: As per Bartleby guideline expert have to answer first question three subparts only dear student…

Q: The patient recovery time from a particular surgical procedure is normally distributed with a mean…

Q: A normal distribution has a mean of 31 and a standard deviation of 6. Find the probability that a…

A: Answer 1: Given: The curve represents the X lies between the values 25 and 37. Calculate the…

Q: A person's blood glucose level and diabetes are closely related. Let x be a random variable measured…

A: Obtain the probability that X is more than 60. The probability that X is more than 60 is obtained…

Q: Motorola uses the normal distribution to determine the probability of defects and the number of…

A: Given : μ=10σ=0.15

Q: A person's blood glucose level and diabetes are closely related. Let x be a random variable measured…

A: Given Information: Mean μ=80 Standard deviation σ=21 Let X be a random variable measured in…

Q: A person's blood glucose level and diabetes are closely related. Let x be a random variable measured…

A: We are given

Question

a. P( 11 < Y < 19) =
b. P (Y ≤ 18) =
c. P(Y > 25) =

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Expert Solution