X is the binomial (5, 0.5) random variable. a) Find the standard deviation of X. b) Find P[μx − σx ≤ X ≤ μx + σx], the probability that X is within one standard deviation of the expected value?

X is the binomial (5, 0.5) random variable. a) Find the standard deviation of X. b) Find P[μx − σx ≤ X ≤ μx + σx], the probability that X is within one standard deviation of the expected value?

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: Let X be a random variable that follows a standard normal distribution (mean μ=0 and standard…

A: It is given that X be a random variable that follows a standard normal distribution (mean μ = 0 and…

Q: The wait time for your local pizzeria to deliver food is normally distributed with µ = 42 minutes…

A: Given,mean(μ)=42standard deviation(σ)=3

Q: Let x be a random variable that represents the weights in kilograms (kg) of healthy adult female…

A: Given Information: Mean (u) = 62 kg Standard Deviation (s) = 9 kg Sample mean (x) = 63.8 kg…

Q: Assume that the random variable X is normally distributed, with mean of 90 and standard deviation of…

A: 1] Mean =90 standard deviation =16 2] mean =116 standard deviation =20

Q: In the US, systolic blood pressure is a random variable that is normally distributed with a mean of…

Q: Find the probability, P(Z > -0.77) for a standard normal variable Z. 20 Find the probability,…

Q: Assume the random variable x is normally distributed with mean μ=88 and standard deviation σ=4. Find…

A: Given information Mean = mu = 88 and Standard deviation = σ = 4 Z score formula = (x - mu)/σ

Q: Porphyrin is a pigment in blood and other body fluids that is significant in body energy and…

A: According to the provided information, μ = 38 and σ = 12.

Q: Assume the random variable x is normally distributed with mean μ=85 and standard deviation σ=5. Find…

A: Given X is normal Distributed with mean µ = 85.0 and standard deviation σ = 5.0 now will using…

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: Porphyrin is a pigment in blood and other body fluids that is significant in body energy and…

A: According to the provided information, μ = 38 and σ = 12

Q: Assume that the probability of a being born with Genetic Condition B is p=5/12. A study looks at a…

A: P(born with genetic condition) = p = sample size (n) = 584x = no. of volunteers with genetic…

Q: Suppose that X is a continuous random variable with a Gamma distribution, that the Expected Value of…

A: It is given that X is a continuous random variable with a gamma distribution, with Expected value…

Q: P(56<X<68) assume that the random variable X is normally distributed with mean is 50 and…

A: The normal distribution:A continuous random variable X is said to follow normal distribution if the…

Q: Assume the random variable x is normally distributed with mean μ=85 and standard deviation σ=4. Find…

A: We have find givan probability...

Q: A random Variable x has a norma N(3, 16). (1) Find the expected value and standard deviation of X.…

Q: ssume that the random variable X is normally distributed, with mean r=60 and standard deviation…

A: The z-score corresponding to x =80 will be:

Q: Assume that the random variable X is normally distributed with mean μ = 120 and standard deviation o…

A: Mean==120Standard deviation==13

Q: Let the random variable X is normal with mean zero and unit variance . Find the values of A and B…

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

Q: born with Genetic Condition B is �=19/20. A study looks at a random sample of 901 volunteers. Find…

A: To find the most likely number of the 901 volunteers to have Genetic Condition B, we can multiply…

Q: OLAG X is a normally distributed random variable with u = 25 and o = a) What is the 85th percentile…

Q: Let X be a random variable with a uniform distribution over the interval [-2 , 4]. Determine the…

Q: A random variable X can be modeled by the Exponential distribution, where 3 = 0 = 4, λ = 1. (a)…

Q: A student takes a test in which they have to indicate whether each of n statements is true or false.…

A: It is interpreted that each statement has the only option of being "correct" (defined as success) or…

Q: Let x be a continuous random variable that is normally distributed with a mean of 23 and a standard…

Q: Let x be a random variable that represents white blood cell count per cubic milliliter of whole…

A: Given data: Mean = 7500 Standard deviation = 1750 To find: a. What is the probability that on a…

Q: X is a discrete random variable with the following PMF: P(X = -9.2) = 0.25 P(X = -2.5) = 0.25 P(X =…

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.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

The random variable X is described by using the gamma distribution with α = 5 and λ = 1. Find the standard deviation of X.
Porphyrin is a pigment in blood and other body fluids that is significant in body energy and storage. Let x be a random variable that represents the number of milligrams of porphyrin per deciliter of blood. In healthy adults x is approximately normally distributed with μ = 38 and σ = 12. What is the probability that x is less than 60?
Let X and Y be independent random variables such that Var[X] = 4.8 and Var[Y ] = 9.7. How can we prove that 2X and 3Y are independent? What is the standard deviation of 2X + 3Y?
Let X be a B (10, 1/2) random variable. What is the probability that X = 5?
The random variable x has a normal distribution with mean 50 and variance 9. Find the value of x, call it x0, such that: a) P(x ≤ xo) = 0.8413 b) P(x > xo) = 0.025 c) P(x > xo) = 0.95 d) P(41 ≤ x ≤ xo) = 0.8630
X is the number of successes in 10 independent Bernoulli trials. The variance of X is equal to 3/4 of the expectation of X (ie Var(X)=0.75E(X)). The probability that X is less than 2 is equal to_____. Please fill in the blank.
Assume that the probability of a being born with Genetic Condition B is p=11/60. A study looks at a random sample of 1443 volunteers.Let X represent the number of volunteers (out of 1443) who have Genetic Condition B. Find the standard deviation for the probability distribution of X.(Round answer to two decimal places.)σ = Use the range rule of thumb to find the minimum usual value μ–2σ and the maximum usual value μ+2σ.Enter answer as an interval using square-brackets only with whole numbers.usual values =
Let the random variable T follow a Student's t distribution with 9 degrees of freedom. State the distribution of the random variable T. Group of answer choices T∼Student′st(9) T∼Student′st(8) T∼Normal(0,1) T∼Student′st(0,1) Compute the probability that T is between −0.1 and 0.6. True or False: The larger the degrees of freedom in a Student's t distribution, the closer to a standard normal distribution the Student's t distribution becomes.