Let X be the random variable with the density represented below. We denote by q1 and q2 the x-axis corresponding to the red and blue lines respectively. The red area equals 5% and the blue one 10%. Which of the following statements are true? The normal distribution N(2, 3) 0.10 0.05 0.00 The answer is a. The probability that X is in the interval [q1.q2] is 85%. b. To obtain q2 in R, one types qnorm(0.1,2,3) Can you explain why? Density f(x)

Q: The discrete random variable X has the probability distribution given by: x -3 1 3 5 7 P(X=x) 2r…

A: As per Bartleby guideline expert have to answer first three subparts only dear student please upload…

Q: Let the variable X be someone's disease status X = D then someone has strep throat X = Dc then…

A: The random variable  denotes the disease status of someone.The random variable denotes test result…

Q: Let X have a normal distribution with μ= 100 and σ=20. Which two values of X is the central 70%…

A: Given information- Population mean, µ = 100 Population standard deviation, σ = 20 We have to find…

Q: A random variable, X, is distributed normal and defined as X-N(u, o). The standard normal…

A:

Q: The table below gives the probability distribution for a discrete random variable X. C. Find P(X…

A: X012345p0.320.16?0.180.140.05

Q: What is the variance of X? Var(X) = What is the variance of Y? Var(Y) =

A: The joint probability distribution of X and Y is:                                Y X 50 60 80…

Q: The table below shows the probability distribution of the random variable X. a. Find the mean of the…

A:

Q: Consider the probability distribution function: X: 2 Probability: 0.2 0.7 0.1 For the above…

A: Given,   Variance =?

Q: Restaurant Bill by gender . Exercise 2.177 describes a study on the cost of meals in ILS (Israeli…

A: The box plot helps in understanding the distribution of the data.

Q: Random variable X is normally distributed with mean 18 and variance 9. If P(k<X<21) = 0.2045, find…

A:

Q: I'm waiting at a bus stop, I can take the bus 34, which I need to wait for, on average, 10 min, and…

A: Answer:-  Let X, be the random variable represents the time taken to wait for bus 34. Let Y, be the…

Q: pieces of spare parts for the production of a company and the probability distribution of the number…

A: Given that  X 0 1 2 3 4 P(x) 0.02 0.20 0.30 0.10 0.08

Q: P(X) 12 8. k 2 1 4 8. 1, 3.

A:

Q: Let X be a random variable that represents red blood cell count (RBC) in millions of cells per cubic…

A: 4.1, 4.2, 4.5, 4.2, 4.6, 4.5

Q: Based on a study, it was observed that amount of blood loss during major surgery is normally…

A:

Q: The random variable X takes on the following values X = {0,1,2,3,4}. The distribution of the random…

A:

Q: For the random variable X defined by the probability function below, answer the following questions.…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: For the individual model, suppose that has distribution Ber(q), that is, q> 0 is constant. Find the…

A: In this problem, we are given an individual model with a distribution described as Ber(q), where q…

Q: The diserete reukan variable X has the probability distriution as shows A. 2 B. 1 C 3 D. 0 8. A. 4.5…

A:

Q: Determine whether the value is a discrete random variable, continuous random variable, or not a…

A: Discrete variable:   It is nothing but it takes or considers only the countable number of values or…

Q: The marginal distributions of two random variables X and Y, together with some values of their joint…

A: Solution-: We have following table:   Y=0 Y=1 Y=3 Total X=1   0.06   0.60 X=3   0.04   0.40…

Q: What is the expected value of X? E(X) = || What is the expected value of Y? E(Y) =

A: The question is about joint prob. distribution Given :   To find : 1 ) E ( X ) 2 ) E ( Y )

Q: 2. The time Xit takes Professor Sawyer to drive to campus on a randomly selected day follows a…

A: Introduction: The random variable X denotes the time taken by the professor to drive to campus on a…

Q: The voltages of one electrical installation belonged to the normal distribution. For the group of…

A: Given, As it is normal distribution, highest value occures at mean. i.e μ = 0.95   To find, the…

Q: For a t distribution with 16 degrees of freedom, find the area, or probability, in each region. a.…

A: The t table provides the area to the right of the t values corresponding to the degrees of…

Q: that the speed at which cars go on the freeway is normally distributed with mean 65 mph ar d…

A: Let  X be the random variable from normal distribution with mean (μ) = 65 and standard deviation (σ)…

Q: A researcher went out and collected a random sample of 25 individual incomes. The statistics he…

A: 1. If population sd is unknown, we have to utilise t statistic for calculating confidence interval…

Q: The marginal distributions of two random variables X and Y, together with some values of their joint…

A: Independent event : The events  A and B are independent  if P( A and B ) = P(A)*P(B)

Q: A discrete random variable has probability distribution: x= 1, 2,3,4, 5 and P(x) =0.12 ,0.15, 0.23,…

A: The standard deviation can be calculated by taking square root of the variance of X. And the…

Q: If x has a uniform distribution with p.d.f. ) = 1/10, 7<x<k, then the constant k is Select one: а.…

A: The function fx=110,7&lt;x&lt;k is a valid PDF if ∫7kfxdx=1

Q: The average number of acres burned by forest and range fres in a large county is 3.800 acres per…

A: The population mean value is  acers.The population standard deviation is .There is a random variable…

Q: For the probability distribution, find a. X b. P(y> 2) c. F(y = 6) DA

A:

Q: Let X and Y be independent random variables identically distributed as Exponential(2). a. Find the…

A: a. To find the distribution of X - Y, we need to determine its probability density function (PDF) or…

Q: Q4/A:The following data represent the number of damaged pieces of spare parts for the production of…

A: Solution