Answered: j) What is the probability that X is…

j) What is the probability that X is within 1 standard deviation of its expected value? k) What is the probability that X = .6?

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: complete the probabílity dístríbution. rable for the number 'oF textbooks Purchased by a Class Of 23…

A: For the given data Find Relative frequency Expected value =? Standard deviation = ?

Q: On an exam, Tom scores 12 points above the mean and has acore of z200. The standard deviation for…

A: Z-score is the value of the ratio of the difference between the raw score and the population mean by…

Q: An adult has on average 5.2 liters of blood. Assume the variable is normally distributed and has a…

Q: Assume that ? is a random variable has a gamma distribution with (alpha) = 3 and (beta) = 10. A)…

A: Here alpha = 3 , beta = 10 Mean = 3×10 = 30 Standard deviation = 10 √3 = 17.32

Q: Suppose that the systolic blood pressure of healthy adults is normally distributed with mean u mmHg…

A: The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ are the mean…

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

A: 1. Let x be the number of calories consumed per day which follows normal distribution with mean 33…

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

A: Given data Mean = 259 feet Standard deviation = 37 feet

Q: Suppose that you have a sample of 100 values from a population with mean μ = 500 and with standard…

A: a. The sample size is 100, population mean is 500, population standard deviation is 80. The…

Q: X is a normally distributed random variable with mean −25 and standard deviation 4. Find the…

Q: Let x be the number showing on a fair six-sided die. The distribution of x has a mean of 3.5 and a…

A: Central limit theorem:For iid random variables, Xi (i = 1, 2, …, n) with mean E(Xi) = µ and standard…

Q: Assume that the random variable X is normally distributed, with mean u = 70 and standard deviation o…

A: The random variable X is normally distributed. The population mean is 70. The population standard…

Q: someone help me? 1. The average number of liters of fresh milk that a person consumes in a month…

Q: The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean…

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are…

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

A: From the provided information,n = 25

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

Q: ssume the random variable has a mean of 30 and a standard deviation of 6. Consider taking repeated…

Q: d. What percentage of terminals will last between 2.5 and 4.5 years? e. If the manufacturer…

A: Mean(µ) = 4 yearsStandard deviations (σ) = 10/12 = 0.83 yearX ~ N (µ, σ )= N(4, 0.83)

Q: Assume that females have pulse rates that are normally distributed with a mean of u= 76.0 beats per…

A: a. Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.…

Q: Q2: The diameter of the dot produced by a printer is normally distributed with a mean diameter of…

A: GivenMean(μ)=0.002standard deviation(σ)=0.004

Q: The length of eels (in cm) in a river may be assumed to be normally distributed with a mean of u =…

Q: Let X be the time taken to assemble a car in a certain plant. X is a random variable having a normal…

A: Given information: X is a random variable denoting the time taken to assemble a car in a certain…

Q: A large tank of fish from a hatchery is being delivered to a lake. The hatchery claims that the mean…

A: Consider X be a random variable which follows normal distribution indicates the length of fish in…

Q: answer only b-d The number of ants per acre in the forest is normally distributed with mean 45,000…

A: The distribution of X, X ~ N(45000, 12052)

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

A: Given: mean = 33 standard deviation = 12 to find i) P(27<X<38) ii) P(27<X<38)

Q: Assume that the number of sick patient per day are normally distributed with a mean of 5000 and a…

Q: Let x denote the time taken to run a road race. Supposex is approximately normally distributed with…

A: Ans: Given, X ~ N(μ, σ) Where μ = 190 minutes and σ = 21 minutes Find P( 219…

Q: Claim: The mean pulse rate (in beats per minute) of adult males is equal to 69 bpm. For a random…

A: Given data: Claim: The mean pulse rate (in beats per minute) of adult males is equal to 69 bpm.…

Q: ogle x Ny Drive-Google tex cture.com/courses/946/quizzes/24446/take The time that people stand in…

A: normal distributionμ = 130σ = 25

Q: 2444The weight of a mechanical component is normally distributed with a mean of 22 oz and a…

A: The weight of a mechanical component is normally distributed with a mean of 22 oz and a standard…

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

A: a. Let X is defined as the distance of fly balls hit to the outfield (in baseball) is normally…

Q: variable X with mean µ = 80 mm. Assume that the amount of rainfall is normally distributed with…

A: The random variable is defined as, the average rainfall in September in Makebelieve land.The random…

Q: Assume that the standard deviation of monthly rents paid by students in a particular town is $40. A…

A: The sample size n is 100 and the standard deviation is 40.

Q: A recent study found that 27% of adults often purchase used items istead of new ones. Assume a…

A: Given information Probability that the adults often purchase used items instead of old ones = 0.27…

Q: Let X be the time taken to assemble a car in a certain plant. X is a random variable having a normal…

A: Given that X~Normal distribution. Where mean, mu= 30 And standard deviation, sigma = 4 We've to…

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

Q: A random variable X is assumed to be normally distributed with a mean of 200 and a standard…

Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

j) What is the probability that X is within 1 standard deviation of its expected value?

k) What is the probability that X = .6?

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

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.

Similar questions

Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 250 feet and a standard deviation of 50 feet. Let X = distance in feet for a fly ball. a) Find the 80th percentile of the distribution of fly balls. (Round your answer to one decimal place.) b) Write the probability statement. (Let k represent the score that corresponds to the 80th percentile.) P(X < k) =
9
Suppose that a college determines the following distribution for X=number of courses taken by a full-time student this semester: Value of X: 3 4 5 6 Probability 0.05. 0.25 0.27 a) The probability for X=4 is missing, What is it? b) What is the average number of courses full-time students at this college take this semester? c) What is the standard deviation of the number of courses full-time students at this college take this semester. d) What is P(X>4.7)
The average time it takes to be vaccinated is 5 minutes with the standard deviation of 1 minute. What is the proper sequence of the steps in the solution in solving the probability of more than 6 minutes average time to be vaccinated? a. I, II, III, IV b. I, IV, III, II c. II, IV, I, III d. II, IV, III, I
Let x be a random variable that represents the level of glucose in the blood (milligrams per deciliter of blood) after a 12 hour fast. Assume that for people under 50 years old, x has a distribution that is approximately normal, with mean ? = 51 and estimated standard deviation ? = 16. A result x < 40 is an indication of severe excess insulin, and medication is usually prescribed. b. What is the probability that x < 40?c. Repeat part (b) for n = 3 tests taken a week apart. d. Repeat part (b) for n = 5 tests taken a week apart.
The length of eels (in cm) in a river may be assumed to be normally distributed with a mean of µ = 42 and a standard deviation of o = 6. An angler catches an eel from a river. Let: X = the length (in cm) of an eel a) If the normal length of eels is between 30 cm and 45 cm, what percentage of eels fall within this normal range? Round your answer to 2 decimal places. b) What is the probability that an eel is at least 51 cmin length? Round your answer to 4 decimal places. c) The middle 50% of the lengths (in cm) of the eels are between and Round your answers to 2 decimal places d) Due to the symmetry of the normal distribution we know that DIV 20 - DIV -
The percent of fat calories that a person in America consumes each day is normally distributed with a mean of about 33 and a standard deviation of about 12. 1. Suppose one individual is randomly chosen. Find the probability that the individual normally consumes between 27 and 38 fat calories per day. o What distribution will you use to calculate this probability? N( 33 12 o List the z-scores needed to calculate the result. If there is more than one z-score, separate the values with a comma. -0.5,0.42, o There is a 0.3543 x chance that the individual normally consumes between 27 and 38 calories per day. 2. Suppose that 20 individuals are randomly chosen. Find the probability that they normally consume an average of between 27 and 38 calories per day. o What distribution will you use to calculate this probability? N( o List the z-scores needed to calculate the result. If there is more than one z-score, separate the values with a comma. o There is a chance that the 20 individuals normally…
Q2) In a local puncher shop, the bolt of a Tyre is normally distributed, with a mean of 0.82 cm and a standard deviation of 0.04 cm. What is the probability that the bolt will exceed 0.86 cm ? (Round your answer to three decimal places.)
assume that X is normally distributed with a mean 180 and standard deviation of 56. find the probability that (A) x is less then 115and (B) x is grater then 154
The percent of fat calories that a person consumes each day is normally distributed with a mean of about 35 and a standard deviation of about ten. Suppose that 9 individuals are randomly chosen. Let X = average percent of fat calories. For the group of 9, find the probability that the average percent of fat calories consumed is more than six. (Round your answer to four decimal places.)
22
Assume that women's heights are normally distributed with a mean 64.5 in, and a standard deviation of 2.3 in. (a) if 1 woman is randomly selected, find the probability that her height is less than 65 in.(b) if 46 women are randomly selected, find the probability that they have a mean height less than 65 in.