A probability distribution has a mean of 50 and a standard deviation of 8. Use Chebyshev's inequality to find the minimum probability that an outcome is between 2 and 98. (Round your answer to four decimal places.)

A probability distribution has a mean of 50 and a standard deviation of 8. Use Chebyshev's inequality to find the minimum probability that an outcome is between 2 and 98. (Round your answer to four decimal places.)

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: Solve the following. Show your complete solution. The average price of a kilogram of ham is ₱1,200.…

A: Given,sample size(n)=30mean(μ)=1200standard deviation(σ)=140

Q: Los Angeles workers have an average commute of 34 minutes. Suppose the LA commute time is normally…

A: a) Mean= 34 Standard deviation = 15 So, variance= 152= 225 X~N(mean, variance)=N(34,225)…

Q: Most colleges here in the Philippines requires applicants for admission to take the College…

A: Consider X : scores on CAT X~Nμ=527,σ=112

Q: The average hourly wage for manufacturing workers in the United States is $16.08 per hour, with a…

A: Let be the hourly wage for manufacturing workers in the United States.The average: The standard…

Q: we flip a coin 100 times and note that it only comes up heads 20% of the time. the mean and standard…

A: Given Information: X is a random variable that denotes the number of times the coin lands on heads.…

Q: Cody took his first physics exam and scored an 80. The population mean for this exam is 70, and the…

A: Solution: It is given that, Population mean, 70 Standard deviation, 5 Given that Cody took his first…

Q: The percent of fat calories that a person in America consumes each day is normally distributed with…

A: Step 1: State the given: population mean, µ = 35population standard deviation, σ = 11 Step 2: Recall…

Q: A particular fruit's weights are normally distributed, with a mean of 726 grams and a standard…

A: Given:μ = 726σ = 21Thus, X ~ N(μ = 726, σ = 21)

Q: The weights of steers in a herd are distributed normally. The standard deviation is 300⁢lbs and the…

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: Ted is not particularly creative. He uses the pickup line "If I could rearrange the alphabet, I'd…

Q: The weights of steers in a herd are distributed normally. The standard deviation is 300lbs300⁢lbs…

A: The objective of this question is to find the probability that the weight of a randomly selected…

Q: The average credit card debt for college students is $3262. The debt is normally distributed with a…

Q: Trucks in a delivery fleet travel a mean of 130 miles per day with a standard deviation of 39 miles…

A: The data on per day mileage of a delivery truck is normally distributed. Population mean, Population…

Q: The weights of steers in a herd are distributed normally. The standard deviation is 200lbs. and the…

A: Let "X" be the weight of steers in a herd.

Q: Samples are drawn from a population with mean 97 and standard deviation 27. Each sample has 400…

Q: It takes an average of 20 seconds to download a certain file, with a standard deviation of 5…

A: Given mean = 2- seconds and sd=5 seconds

Q: professor at a local university finds that the mean exam grade for her students is 73 with a…

A: A professor at a local university finds that the mean exam grade for her students is 73 with a…

Q: Trucks in a delivery fleet travel a mean of 120120 miles per day with a standard deviation of 3333…

A: Given that, Mean (m)=120 Standard deviation (sd) = 33 The mileage per day is distributed normally.…

Q: 2. An electronic company in laguna manufactures resisters that have aean resistance of 120 ohms and…

A: Given that: Mean resistance: μ=120Ω Standard deviation: σ=13Ω Random sample: n=40 For : Px>114

Q: Billiard tables have mean degree of balance 0 and standard deviation 1 What is the probability…

A: It is given that the mean and standard deviation are 0 and 1.

Q: A probability distribution has a mean of 40 and a standard deviation of 10. Use Chebyshev's…

A: First, we find the z scores of 10 and 70

Q: Full-time Ph.D. students receive an average of $12,837 per year. If the average salaries are…

A: Given that ; μ = $ 12837 ? = $ 1500 X = $ 17000 To find P( x < 17000) = ? ? P( x > 17000) =…

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: The distances golf balls travel under laboratory testing conditions are normally distributed. The…

Q: ease answer all these question

A: (a) Given: μ=18, σ=4.5 The corresponding z-value needed to be computed is: The probability that a…

Q: Assume that 11% of College students are left-handed. Suppose you randomly select 100 students and…

A: Given that n= number of observation= 100 p= probability of success= 11%=0.11 since each trial is…

Q: The weights of steers in a herd are distributed normally. The standard deviation is 200lbs200⁢lbs…

A: The objective of this question is to find the probability that the weight of a randomly selected…

Q: BIOLOGY: The average number, per country, of an endangered Bald Eagle (Haliaeetus leucocephalus) is…

A: Normal Distribution: A continuous random variable X is said to follow Normal distribution with…

Q: A professor knows that her statistics students' final exam scores have a mean of 79 and a standard…

Q: Children between the ages of 2 and 5 watch an average of 25 hours of television per week. Assume the…

A: A normal distribution follows a bell shaped curve which is centred at the mean and it is also called…

Q: Asset A will generate a 20% return with probability 0.25; a 15% return with probability 0.50; and a…

Q: A final exam in Math 160 has a mean of 73 with standard deviation 7.8. If 24 students are randomly…

A: given data, normal distributionμ=73σ=7.8n=24we have to find out the given proabbility .

Q: The sick-leave time of employees in a firm in a month is normally with a f 100 hours and a standard…

A: Given Mean (mu) = 100 hours Standard deviation = s= 20 hours

Q: A probability distribution has a mean of 50 and a standard deviation of 2. Use Chebyshev's…

A: Given Mean=50 Standard deviation=2

Q: Assume that adults have IQ scores that are normally distributed with a mean of mu equals 100 and…

A: X follows a Normal distribution with mean = 100 and S.D = 20 Then z=(x-mean)/SD = (x-100)/20…

Q: The popular restaurant is 23.5 minutes, with a standard deviation of 3.6 minutes. Assume the…

A: From the provided information, Mean (µ) = 23.5 Standard deviation (σ) = 3.6 X~N (23.5, 3.6) Here X…

Q: Calculus The height of 700 boys are found to approximately follow such a distribution, with a mean…

Q: Use technology to solve the following problem: A normal population has a mean = 31 and standard…

A: Given Information: Mean, μ=31Standard Deviation, σ=7To find out the probability that a randomly…

Q: he mean weight of all Goliath grouper caught on the Treasure coast is 377 pounds, with a standard…

A: The normal distribution in the center are generally denser and basically less denser at tails.…

Q: jogs to the park each day and the trip takes an average of µ = 22 minutes. The distribution of jog…

A: given data,normal distribution μ=22σ=10probability that Susan's jog to the park take less than 16…

Q: A probability distribution has a mean of 90 and a standard deviation of 2. Use Chebyshev's…

Q: 80% of beans seeds sprout. Three seeds were planted. Find the distribution of the variable X =…

A: Given, n = 3 Probability that bean seeds sprout: p = 0.80 Probability that bean seeds does not…

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

A: Given that, Intelligence quotients (IQ scores) are normally distributed with, Mean = 100 Standard…

Question

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 BB

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Follow-up Questions

Read through expert solutions to related follow-up questions below.

Follow-up Question

I can't see the answer

Solution

by Bartleby Expert

SEE SOLUTION

Similar questions

Please show the complete solution. Thanks!
Cody took his first physics exam and scored an 80. The population mean for this exam is 70, and the standard deviation is 5. What is the probability of selecting a person with a score greater than Cody’s?
See image-- using calculus.
The NJ Department of Health has reported the average life span of NJ residents is 81 years. If the standard deviation is σ = 4 years, what is the probability of a person living to at least 92 years of age?
Trucks in a delivery fleet travel a mean of 8080 miles per day with a standard deviation of 3737 miles per day. The mileage per day is distributed normally. Find the probability that a truck drives less than 150150 miles in a day. Round your answer to four decimal places.
solve and explain the solution. Draw the bell curve of the results
Complete each table and solve for the mean, variance and standard deviation. Show solution
Leave all probabilities as percentages. Define x on all problems with data. The biologist wants to estimate the average age of Coyotes in Tuolumne County. Her estimates from past experience suggest the standard deviation is 1.1years. How big of a sample should she take to be 95% sure his estimate is off by no more than 0.2years?
An electrical firm manufactures incandescent light bulbs that have a length of life (in hours) that is normally distributed. If the mean and standard deviation length of life of all lightbulbs produced are 1250 hours and 300 hours respectively, find the probability that a randomly selected bulb will last less than 1100 hours. Do NOT round off until you arrive at the FINAL ANSWER. Round off final answer to 3 decimal places example: (1.234)
You draw a card from a deck. If you get a red card, you win nothing. If you get a spade, you win $6. For any club, you win $12 plus an extra $20 for the ace of clubs. Find the standard deviation of the amount you might win drawing a card.
solve a and b
ASAP An electrical firm manufactures light bulbs that have a length of life that is approximately normally distributed, with mean equal to 800 hours and a standard deviation of 40 hours. A. Find the expected number of light bulbs which have a length of life between 680 to 720 hours if the firm manufactures 3000 light bulbs for the month. 65 94 102 78 B. Find the expected number of light bulbs which have a length of life between 800 to 840 hours if the firm manufactures 3000 light bulbs for the month. 358 1357 1024 874 C. Which of the following does not describe a characteristics of a normal probability distribution? The area under a normal curve is 1 or 10% There is perfect symmetry about the central value of the normal curve. The width of a normal curve is determined by the standard deviation. The normal curve is bell-shaped.