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

A: From the given information, n=1,500 and p=3/4 Binomial approximation to normal distribution…

Q: data from an assessment of a group of subjects is known to have a mean of 100 and a standard…

A: Suppose the variable of interest is x with mean and the standard deviation of .

Q: Assume that adults have IQ scores that are normally distributed with a mean of 100.5 and a standard…

A: Mean = 100.5 Standard deviation = 17.5

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

Q: Assume that a procedure yields a binomial distribution with n 1369 trials and the probability of…

A: We have given that the binomial distribution with parameters n=1369 and p=49% = 0.49. The pmf of…

Q: Assume that adults have IQ scores that are normally distributed with a mean of 95.7 and a standard…

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: It takes an average of 40 seconds to download a certain le, with a standard deviation of 5 seconds.…

A: Given data: The given mean time to download a file is: μ=40 sec. The given standard deviation…

Q: Which of the following statements is true? a). The mean of a random variable characterizes the…

A: Solution: Mean. Median and mode are the measures of central tendency. The range . standard…

Q: Assume that adults have IQ scores that are normally distributed with a mean of 95.4 and a standard…

Q: Assume that adults have IQ scores that are normally distributed with a mean of 100.3and a standard…

Q: A probability distribution has a mean of 60 and a standard deviation of 10. Use Chebyshev's…

A: Given that mean=60 standard deviation=10 We first find the z scores of -15 and 135 z score of…

Q: Assume that adults have IQ scores that are normally distributed with a mean of 98.9 and a standard…

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

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: Assume that adults have IQ scores that are normally distributed with a mean of 95.5 and a standard…

A: From the provided information,Mean = 95.5Standard deviation = 23.3X~N (95.5, 23.3)

Q: Assume that adults have IQ scores that are normally distributed with a mean of 101.1 and a standard…

Q: Assume that adults have IQ scores that are normally distributed with a mean of 101.9 and a standard…

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

Q: Find the mean for this binomial distribution. (Round answer to one decimal place.) Find the standard…

A: It is given that Number of trials n = 1497 Probability of success p = 0.81

Q: Assume that adults have IQ scores that are normally distributed with a mean of 97.9 and a standard…

Q: 40% of Americans who travel by car look for gas stations and grocery stores that are nearby or…

A: Given n= number of trials =25 p= probability of success=40%=0.40 The random variable X be the number…

Q: Assume that adults have IQ scores that are normally distributed with a mean of 104.8 and a standard…

Q: Assume that adults have IQ scores that are normally distributed with a mean of 95.7 and a standard…

A: Let X be the random variable for IQ score. X~Nμ=95.7, σ=24.3 The given value of X is 121.9.

Q: 7.3 Central Limit Theorem: Finding Probability A company produces steel rods. The lengths of the…

A: We have given that, Mean = 134.5 . Standard deviation = 1.7 . We have to find.…

Q: In a certain distribution, the mean is 90 with a standard deviation of 5. Use Chebychev's…

A: chebyshev’s theoremat least 1-1/k^2 of the data lie within k standard deviations of the mean, that…

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 95.7 and a standard…

Q: ility that a randomly selected adult from this group has an IQ greater than 138.2 is our decimal…

A: Given: μ=100.6, σ=19.5 The corresponding z-value needed to be computed is:

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: Find the probability that a randomly selected adult has an IQ between 91 and 119.

A: Let X denote the IQ scores of the adults. Given that X follows N(mean = 105, SD = 15), then Z = (X…

Q: Assume that adults have IQ scores that are normally distributed with a mean of 98.8 and a standard…

A: GivenMean(μ)=98.8standard deviation=15.2

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: Determine the given data

VIEW

Step 2: Calculate probability

VIEW

Solution

VIEW

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

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
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.
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
Assume that adults have IQ scores that are normally distributed with a mean of 104.9 and a standard deviation of 16. Find the probability that a randomly selected adult has an IQ greater than 132.8. (Hint: Draw a graph.) The probability that a randomly selected adult from this group has an IQ greater than 132.8 is (Round to four decimal places as needed.)
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 the random variable X is normally distributed with mean = 1000 and standard deviation = 188. Let n = 18. Find P( < 947.4).
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 adults have IQ scores that are normally distributed with a mean of 95.4 and a standard deviation of 21. Find the probability that a randomly selected adult has an IQ greater than 134.1. (Hint: Draw a graph.) The probability that a randomly selected adult from this group has an IQ greater than 134.1 is (Round to four decimal places as needed.)