SOLUTION: If X is normally distributed on (5,4) then what is the probability that
8 < Y < 13 where Y = 2X + 1?
Algebra.Com
Question 1150738: If X is normally distributed on (5,4) then what is the probability that
8 < Y < 13 where Y = 2X + 1?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
The mean is 2(mean of x)+1 or 11
the variance is the square of the coefficient or 4 times the variance of the original.
The sd of the original was 4, so its variance was 16 and the new variance is 64 with a sd of 8
y is distributed normally with mean of 11 and sd of 8.
z=(x-mean)/sd
so z for the low end is (8-11)/8 or -3/8
and for the high end is (13-11)/8 or +1/4
for z to be between these two values gives a probability of 0.2449
RELATED QUESTIONS
If X ∼ N(5,4), then what is the probability that 8 < Y < 13 where
Y = 2X +... (answered by ikleyn)
1. The amount of syrup that people put on their pancakes is normally distributed with... (answered by CPhill)
What is the solution to 1. y = 3x – 8
y = 4 – x
2. x + y = 0
3x + y = -8
(answered by Alan3354)
Well, I'm stuck on this one, I'm not even sure I know where to start. I can find all... (answered by stanbon)
I am so appreciated for helping me out these questions:
1.(x-2)(x+3)^2 OVER... (answered by Fombitz)
I Attempt all questions show all the necessary steps in your work
1. If P(A) =1/3 and... (answered by lynnlo)
can someone help me wiht these:
1. What type of conic section is the following equation?
(answered by Fombitz)
Pls help! If you can answer either one of them, I am so appreciated.
1.(x-2)(x+3)^2 /... (answered by Fombitz)
1. Suppose the age that children learn to walk is normally distributed with mean 12... (answered by CPhill)