Answered: Suppose a normally distributed random…

Suppose a normally distributed random variable x has a mean of 100 and P(x < 90) = 0.30. What is the probability that x is between 90 and 110? a)0.60 b) 0.30 c) 0.20 d) 0.40

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: . For a standard normal random variable, find the point in the distribution in which 10% of the…

Q: a Suppose the random variable X follows a normal distribution with mean 30 and variance 81. Then the…

A: Obtain the Z-score for the random variable X equals 40. The Z-score for the random variable X equals…

Q: If Zis a standard normal random variable, then P(-1.25 ≤ Z ≤ -0.75) is: Select one: O O a. 0.1210 b.…

A: Z is a standard normal random variableP(-1.25z-0.75)

Q: *Assume that the random variable X is normally distributed, with mean - 45 and standard deviation…

A: Solution

Q: 1. Assume a binomial probability distribution with n-50 and n = 0.25. Compute the following: The…

Q: *Assume that the random variable X is normally distributed, with mean - 45 and standard deviation…

Q: 6.10. The probability of hitting the target with one shot is 0.8. Find the probability that with 100…

Q: A) y= Q25. The correlation coefficient (r) between X A)-0.8987 B) 0.8632 C) -0.9603 enswer: D)

A: We have given that, X :- 3, 4, 6, 8, 10 Y:- 8, 6, 7, 5, 3 Then, We will find the correlation…

Q: Let the random variable Z follow a standard normal distribution. a) The probability is 0.80 that Z…

A: The standard normal variable z follows normal distribution with mean 0 and standard deviation 1.

Q: Suppose that the average price for a gallon of gasoline in the Country A is $2.74 and in Country B…

A: For country AMean()=2.74standard deviation()=0.25For country BMean()=2.40standard deviation()=0.20

Q: An electrical firm manufactures light bulbs that have a life, before burn-out, that is normally…

Q: Answer what is asked from each number using proper probability notation and units wherever possible…

A: Let, denotes the number of vaccination shot and it is given that mean and standard deviation of…

Q: 10. X 0 15 30 45 60 P(X=x) 0.24 0.46 0.13 0.11 0.06

A: We have given a probability mass function of a random variable as follows:…

Q: Suppose the random variableXfollows a normal distribution with mean 80 and variance 100. Then the…

A: μ = 80 , σ = 100= 10

Q: Since x is a Binomial random variable with a mean of 1.8 and a probability of success of 0.6, what…

Q: The weights of the fish in a certain lake are normally distributed with a mean of 13lbs and standard…

A: Normal distribution, also known as the Gaussian distribution, is a probability distribution that is…

Q: The average speed of cars passing a checkpoint is 60 miles per hour with a standard deviation of 8…

A: From the provided information,n = 50

Q: Let X be a geometric random variable p = 0.3. What is the probability that X is an odd number?

A: Sol:- A geometric random variable models the number of trials required to achieve the first success…

Q: Suppose the random variable X follows a normal distribution with mean 80 and variance 100. Then the…

A: X~Nμ=80, σ2=100 Standard deviation σ=100=10

Q: A) (26.08, 26.32) Q22. The maximum error (the margin of error) of the estimation "E" is: C) 2.34 B)…

Q: 22. Each American uses 650 pounds of paper a year. Suppose that the distribution is normal with a…

A: It is given that each one uses 650 pounds of paper a year.The distribution is normal with a…

Q: 10) A discrete random variable x can assume five possible values: 2, 3, 5, 8, 10. Its probability…

A: Before calculating the probability corresponding to x=5, the conditions of probability are stated…

Q: Q18. If n = 32,0 = 5.15, = 26.2,a= 0.05, In testing H,:u=25,H₁:25, the rejection region is A) Z>…

A: Given that Sample size n =32 Sample mean =26.2 Population standard deviation =5.15 NOTE:- According…

Q: O1: Given the population 1, 1, 1, 4,4,7, 6, 8 . Find the probability that a random sample of size…

A: Given data is 1,1,1,4,4,7,8population mean(μ)=4variance (σ2)=7sample size (n)=42

Q: with an average weight of 5 grams and a standard deviation of 1 gram. a) Draw the distribution. b)…

A: Consider a random variable X which represents the weight of an Airen grape used a lot in Spanish…

Q: Suppose the random variableX follows a normal distribution with mean 80 and variance 100. Then the…

A: Given Mean μ=80 Variance =100 Standard Deviation σ=variance =100=10 Probability =0.6826

Q: The number of customers arriving to a restaurant is a random variable with a mean of 4 customers per…

A: Mean is 4 customers per hour. Let X follows number of customers arriving to the restaurant.

Q: Find the probabilities that a random variable having the standard normal distribution will take on a…

Q: i. What is the probability that exactly one person in the group is under 35? Calculate the mean and…

A: Given Sample size = 5 Probability that no one will be 35 or over , P (age 35 or over) = 0.01024…

Q: Suppose the pmf of a random variable X is as given in the accompanying table. What is the…

Q: X -6 -1 0 8 P(X= x) 0.21 0.25 0.26 0.28

A: Given information-We have given the probability distribution for X.Value of XProbability…

Q: What is the probability that a jet engine will last less than 12 months before needing to be…

A: Here given cumulative distribution function of X. X = time in months jet engine operate before…

Q: A) 0.3846 B) 0.3223 *Consider the following table, and answer the following Two questions Q24. Find…

Q: A normal population has a mean μ=47 and standard deviation σ=3 . Round answers up to four decimal…

A: The mean is 47 and the standard deviation is 3.

Q: • A) Given the data Pulse Rate (beats per minute) Mean St. Dev. Distribution Males 69.6 11.3 Normal…

A: Note: As per my policy i can answer only one question. kindly repost the remaining one. Given data…

Q: Suppose the random variable X follows a normal distribution with mean 70 and variance 100. Then the…

A: Correct answer is (C) -1 and 1

Q: Suppose that a college determines the following distribution for X=number of courses taken by a…

A: a) It is clear that sum of the probabilities should be equal to 1. That is, ∑iPxi=1. The probability…

Q: The ages of students in a middle school have the following probability distribution: x 12 13 14 15…

Question

Suppose a normally distributed random variable x has a mean of 100 and P(x < 90) = 0.30. What is the probability that x is between 90 and 110?

a)0.60

b) 0.30

c) 0.20

d) 0.40

Video Video

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

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

The average grade of Grade 11 students in Statistics and Probability is 85 with a standard deviation of 1.5 Solve for the probability of the following: a) The average grade is less than 88 b) The average grade is more than 88 c) The average is less than 82
Suppose a large machine randomly prints words/minute for Book production. It is known that the printing machine follows a normal distribution with a mean of 132 words/minutes ounces and a standard deviation of 4 words/minute. Find the probability that the printing machine prints less than129 words/minute. a)0.3085 b)0.2266 c)0.4103 d)0.2874
63) A study of the amount of time it takes a mechanic to rebuild the transmission for a 2010 Chevrolet Coloradoshows that the mean is 8.4 hours and the standard deviation is 1.8 hours. If 40 mechanics are randomlyselected, find the probability that their mean rebuild time is less than 8.9 hours.A) 0.9608 B) 0.9756 C) 0.9589 D) 0.4276
The probability that a restaurant passes itshealth department inspection is 0.94. Theowners of 58 restaurants are surveyed to seeif their restaurants passed inspection. Find the standard deviation. A) 1.8245 B) 2.1040 C) 1.8086 D) 1.8655 E) 2.3589
The population mean time it takes to empty a bottle of liquid is 80 minutes with a standard deviation of 6 minutes. A sample of 60 bottles is taken. What is the probability that the sample mean is at most 78 minutes? A) 0.9951 B 0.9963 C) 0.0037 D) 0.0049
Only handwritten
Suppose the random variable X follows a normal distribution with mean 80 and variance 100. Then the probability is 0.6826 that X is in the symmetric interval about the mean between two numbers are A) -2 to 2 B) -3 to 3 C) -1 to 1 D) none
Assume that X has a normal distribution, and find the indicated probability. 7) The mean is μ = 15.2 and the standard deviation is o = 0.9. Find the probability that X is between 14.3 and 16.1. A) 0.1587 B) 0.6826 C) 0.8413 D) 0.3413 7)
Suppose that the speed at which cars go on the freeway is normally distributed with mean 66 mph and standard deviation 5 miles per hour. Let X be the speed for a randomly selected car.a. What is the distribution of X? X ~ N( ________ , ________)b. If one car is randomly chosen, find the probability that it is traveling more than 62 mph. Round to 4 decumal places. c. If one of the cars is randomly chosen, find the probability that it is traveling between 68 and 71 mph. Round to 4 decimal places.
32 - The random variable X, which shows the grades of the students in a class in the exam of the statistics course, has a normal distribution with a mean of 80 and a variance of 25. Which of the following is the lowest grade with a probability of 0.3015? a) 32.5 B) 55 NS) 82.5 D) 68 TO) 89
15 - A fair coin is tossed three times (consecutively). If X is the number of heads of the first shot and Y is the random variables representing the total number of heads, what is the standard deviation of Y? calculate.A) 1.414B) 0.5C) 1.225D) 0.866E) 0.707
The probability is 0.4 that a traffic fatality involves an intoxicated or alcohol-impaired driver or nonoccupant. In six traffic fatalities, find the probability that the number, Y, which involve an intoxicated or alcohol-impaired driver or nonoccupant is a. exactly three; at least three; at most three. b. between two and four, inclusive. c. Find and interpret the mean of the random variable Y. a. The probability that exactly three traffic fatalities involve an intoxicated or alcohol-impaired driver or nonoccupant is nothing. (Round to four decimal places as needed.) The probability that at least three traffic fatalities involve an intoxicated or alcohol-impaired driver or nonoccupant is nothing. (Round to four decimal places as needed.) The probability that at most three traffic fatalities involve an intoxicated or alcohol-impaired driver or nonoccupant is nothing. (Round to four decimal places as needed.) b. The probability that between two and four…