Question

consider a probability distribution for the random variable x, where the mean is 1 and the...

consider a probability distribution for the random variable x, where the mean is 1 and the standard deviation is 1. now consider the probability distribution y where y= 5x+4.

a). what is the mean of the probability distribution y?

b). what is the standard deviation of the probability distribution y?

round up to 0 decimal both.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
In the following probability​ distribution, the random variable x represents the number of activities a parent...
In the following probability​ distribution, the random variable x represents the number of activities a parent of a 6th to 8th​-grade student is involved in. Complete parts​ (a) through​ (f) below. x 0 1 2 3 4 ​P(x) 0.395 0.075 0.199 0.195 0.136 ​(a) Verify that this is a discrete probability distribution. This is a discrete probability distribution because the sum of the probabilities is ___and each probability is ___ (Less than or equal to 1; Greater than or equal...
The probability distribution of a random variable X is given. x     −4         −2         0         2 &nbsp
The probability distribution of a random variable X is given. x     −4         −2         0         2         4     p(X = x) 0.2 0.1 0.3 0.2 0.2 Compute the mean, variance, and standard deviation of X. (Round your answers to two decimal places.) Find mean, variance, and standard deviation
1. Given a discrete random variable, X , where the discrete probability distribution for X is...
1. Given a discrete random variable, X , where the discrete probability distribution for X is given on right, calculate E(X) X P(X) 0 0.1 1 0.1 2 0.1 3 0.4 4 0.1 5 0.2 2. Given a discrete random variable, X , where the discrete probability distribution for X is given on right, calculate the variance of X X P(X) 0 0.1 1 0.1 2 0.1 3 0.4 4 0.1 5 0.2 3. Given a discrete random variable, X...
1. A random variable X has a normal distribution with a mean of 75 and a...
1. A random variable X has a normal distribution with a mean of 75 and a variance of 9. Calculate P(60 < X < 70.5). Round your answer to 4 decimal places. 2. A random variable X has a uniform distribution with a minimum of -50 and a maximum of -20. Calculate P(X > -25). Round your answer to 4 decimal places. 3.Which of the following statements about continuous random variables and continuous probability distributions is/are TRUE? I. The probability...
Consider a random variable X with the following probability distribution: P(X=0) = 0.08, P(X=1) = 0.22,...
Consider a random variable X with the following probability distribution: P(X=0) = 0.08, P(X=1) = 0.22, P(X=2) = 0.25, P(X=3) = 0.25, P(X=4) = 0.15, P(X=5) = 0.05 Find the expected value of X and the standard deviation of X.
Given a random variable X following normal distribution with mean of -3 and standard deviation of...
Given a random variable X following normal distribution with mean of -3 and standard deviation of 4. Then random variable Y=0.4X+5 is also normal. (1)Find the distribution of Y, i.e. μy,σy (2)Find the probabilities P(−4<X<0),P(−1<Y<0) (3)Find the probabilities(let n size =8) P(−4<X¯<0),P(3<Y¯<4) (4)Find the 53th percentile of the distribution of X
Let x be a discrete random variable with the following probability distribution x: -1 , 0...
Let x be a discrete random variable with the following probability distribution x: -1 , 0 , 1, 2 P(x) 0.3 , 0.2 , 0.15 , 0.35 Find the mean and the standard deviation of x
In the probability distribution to the​ right, the random variable X represents the number of marriages...
In the probability distribution to the​ right, the random variable X represents the number of marriages an individual aged 15 years or older has been involved in. Compute the standard deviation of the random variable X. x ​P(x) 0 0.264 1 0.583 2 0.119 3 0.028 4 0.005 5 0.001 =_______marriages ​(Round to one decimal place as​ needed.)
Suppose that a random variable X has the distribution (pdf) f(x) =kx(1 -x^2) for 0 <...
Suppose that a random variable X has the distribution (pdf) f(x) =kx(1 -x^2) for 0 < x < 1 and zero elsewhere. a. Find k. b. Find P(X >0. 8) c. Find the mean of X. d. Find the standard deviation of X. 2. Assume that test scores for all students on a statistics test are normally distributed with mean 82 and standard deviation 7. a. Find the probability that a single student scores greater than 80. b. Find the...
Find the mean, variance, and standard deviation of the random variable having the probability distribution given...
Find the mean, variance, and standard deviation of the random variable having the probability distribution given in the following table. (Round your answers to four decimal places.) Random variable, x -7 -6 -5 -4 -3 P(X = x) 0.13 0.16 0.4 0.15 0.16