A probability distribution has a mean of 12 and a standard deviation of 1/3. Use Chebyshev’s inequality to approximate the probability that an outcome of the experiment lies 8 and 16. A) 12 B) 0.9167 C) 0.4375 D) 0.9931 E) 0.5625

A probability distribution has a mean of 12 and a standard deviation of 1/3. Use Chebyshev’s inequality to approximate the probability that an outcome of the experiment lies 8 and 16. A) 12 B) 0.9167 C) 0.4375 D) 0.9931 E) 0.5625

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: The variable Z is normally distributed with mean 0 and standard deviation 1. Find the values a and…

Q: Assume that the readings at freezing on a bundle of thermometers are normally distributed with a…

Q: Assume that a procedure yields a binomial distribution with n=1421 trials and the probability of…

A: Solution

Q: Assume that females have pulse rates that are normally distributed with a mean of μ=73.0 beats per…

A: a) The female have pulse rates that are normally distributed with mean 73.0 beats per minute pounds…

Q: Intelligence quotients (IQ scores) are normally distributed with a mean of 100 and a standard…

A: Given data,μ=100σ=15

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

A: given data normal distribution μ=105σ=20P(X<141)=?

Q: Assume that the readings at freezing on a bundle of thermometers are normally distributed with a…

A: The random variable Z is readings at freezing on a bundle of thermometers. It is normally…

Q: Assume that the readings at freezing on a bundle of thermometers are normally distributed with a…

Q: A probability distribution has a mean of 12 and a standard deviation of 1/3. Use Chebyshev’s…

A: Given data in the problem isMean is 12SD is 1/3We have to find the probability that the outcome of…

Q: A probability distribution has a mean of 12 and a standard deviation of 1/3. Use Chebyshev’s…

A: From the provided information,

Q: Exp.(7): A factory products concrete tiles with average length of 60 cm and standard deviation of…

Q: The variable Z is normally distributed with mean 0 and standard deviation 1. Find the values a and…

A: Given that Z is normally distributed with mean 0 and standard deviation 1

Q: Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean…

A: It is given that the readings at freezing on a batch of thermometers are normally distributed with a…

Q: The masses of loaves of bread produced by Delight Company have a normal distribution with mean 400 g…

A: Solution: 20. Let X be the masses of loaves of bread produced by Delight Company. From the given…

Q: Assume that the readings at freezing on a bundle of thermometers are normally distributed with a…

A: From the provided information, Mean (µ) = 0 Standard deviation (σ) = 1 X~N (0, 1) Here X be a random…

Q: Assume that the readings at freezing on a bundle of thermometers are normally distributed with a…

A: We have given that X~N( 0, 1 ) mu= ,sigma = 1 Z-score =(x-mu)/sigma

Q: C. X is a normally distributed random variable with a mean of 57 and a standard deviation of 6. Find…

Q: ation of 2.8 pounds. What is the probability that the weight is between 31 and 35 pounds? What will…

A: The mean weight for crates of apples is normally distributed with a mean weight of 34.6 pounds and a…

Q: A probability distribution has a mean of 12 and a standard deviation of 1/3. Use Chebyshev’s…

A: From the information, given thatLet X denotes the random variable with a mean of 12 and the standard…

Q: Assume that the readings at freezing on a bundle of thermometers are normally distributed with a…

A: Given Mean(μ)=0oCstandard deviation(σ)=1.00oC

Q: Assume that the readings at freezing on a bundle of thermometers are normally distributed with a…

A: GivenMean(μ)=0standard deviation(σ)=1.0

Q: Assume that the readings at freezing on a bundle of thermometers are normally distributed with a…

Q: A study shows that children watched television by an average of 48 hours per week with a standard…

A: Given Pop mean, μ=48Pop sd, σ=12 n=150

Q: Suppose that the grades of Mathematics module is modeled well by a normal probability distribution…

A: Given: μ=220 and σ=130. It is also given that a=-b.…

Q: Assume that the readings at freezing on a bundle of thermometers are normally distributed with a…

A: Let Z denote the readings at freezing on a bundle of thermometers are normally distributed with a…

Q: Assume that the readings at freezing on a batch of thermometers are normally distributed with a and…

A: Answer Given,The mean = 0The standard deviation = 1

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 2 has a Standard normal distribut mean of and standard deviation of 1. Te probability that 2…

A: Given that Z is a standard normal distribution with mean 0 and standard deviation 1.

Q: d) What is the standard deviation of T? e) What is the probability that T is within 2.0 standard…

Q: Assume that adults have iq scores that are normally distributed with a mean of ù=100 and a standard…

A: Mean ()=100standard deviation()=15

Q: Assume that adults have IQ scores that are normally distributed with a mean of μ=100and a standard…

A: From the provided information, Mean (µ) = 100 Standard deviation (σ) = 20 Let X be a random variable…

Q: Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed…

A: We want to find the value of K

Q: The patient recovery time from a surgical procedure is normally distributed with a mean of 6.3 days…

A: As per honor code we can only answer first three parts of the answer. A) The given distribution is…

Q: Given X~N(50,16) and P(X > 25). The z-score value is: А. 25 – 50 С. 25 – 50 Z = 4 16 В. D. Z = 50 –…

A: Since, you have asked multiple questions, we will solve the first question for you. If you want a…

Q: Assume that adults have IQ scores that are normally distributed with a mean of mμ=100 and a standard…

Q: Assume that the readings at freezing on a bundle of thermometers are normally distributed with a…

A: Solution: Let X be the reading at freezing on a bundle of thermometers. From the given information,…

Q: The average grade of Grade 11 students in Statistics and Probability is 85 with a standard deviation…

A: Given: The average grade of Grade 11 students in Statistics and Probability is 85 with a standard…

Q: The lengths of metal strips are normally distributed with a mean of 120 cm and a standard deviation…

A: Given: The lengths of metal strips are normally distributed with a mean of 120 cm and a standard…

Question

A probability distribution has a mean of 12
and a standard deviation of 1/3. Use
Chebyshev’s inequality to approximate the
probability that an outcome of the
experiment lies 8 and 16.

A) 12

B) 0.9167

C) 0.4375

D) 0.9931

E) 0.5625

Video Video

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1: Given information-

VIEW

Step 2: Calculation for probability

VIEW

Solution

VIEW

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

can you solve this for me by showing step by step for each question? Acme Food manufactures and sells bags of doughnuts whose weights follow a normal distribution with a mean of 400g and standard deviation 8g. a) Find the probability that a bag of doughnuts weights less than 410g b) Find P (X>412) c) Find P (395 < X < 404) d) The company can be prosecuted if the bags are less than 380g, if the company sells 50 bags per day find the expected number of bags under this weight. e) On a typical day 1.22% of bags are rejected as they are too heavy. Find the rejection weight.
Assume that X has a normal distribution, and find the indicated probability. 38) The mean is u = 15.2 and the standard deviation is o = 0.9. Find the probability that X is greater than 17. A) 0.9821 B) 0.9772 C) 0.9713 D) 0.0228 38)
Suppose that a category of world-class runners are known to run a marathon (26 miles) in an average of 147 minutes with a standard deviation of 11 minutes. Consider 49 of the races. Let x̅ = the average of the 49 races. A) Give the distribution x̅ (round your standard deviation to two decimal places.) x̅~______(______,______) B) Find the probability that the average of the sample will be between 144 and 148 minutes in these 49 marathons. (Round your answer to four decimal places.) C) Find the 70th percentile for the average of these 49 marathons. (Round your answer to two decimal places.) ______ min D) Find the median of the average running times. _____min
Solve it correctly
A random variable follows a binomial distribution with the probability of success for one trial at 0.745 and 18 randomly selected trials. Round to the fourth. a) Find the mean of the distribution. b) Find the standard deviation of the distribution c) Find the probability of exactly 13 successes.
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)
Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find the probability of obtaining a reading between 2.857°C and 3.191°C. P(2.857 < Z < 3.191) =
A variable is normally distributed with mean 12 and standard deviation 4 a.) find the percentage of all possible values of the variable that lie between 4 and 16 b.) find the percentage of all possible values of the variable that exceed 6 c.)find the percentage of all possible values of the variables that are less than 2
Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of O°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find the probability of obtaining a reading between 0.346°C and 1.84°C. P(0.346 < Z < 1.84)
A normal population has a mean of 80 and a standard deviation of 14.0. a) Calculate the probability of a value located between 75.0 and 90.0 p(75 ≤ x ≤ 90) b) Find the probability of a value of 75.0 or less. c) Calculate the probability of a value located between 55.0 and 70.0
Assume that the readings at freezing on a bundle of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find the probability of obtaining a reading between -2.698°C and 2.431°C.P(−2.698<Z<2.431)=P(-2.698<Z<2.431)=