Solution Found!
If X is N(650, 625), find(a) P(600 ? X < 660).(b) A
Chapter 3, Problem 7E(choose chapter or problem)
Problem 7E
If X is N(650, 625), find
(a) P(600 ≤ X < 660).
(b) A constant c > 0 such that P(|X −650| ≤ c) = 0.9544.
Questions & Answers
QUESTION:
Problem 7E
If X is N(650, 625), find
(a) P(600 ≤ X < 660).
(b) A constant c > 0 such that P(|X −650| ≤ c) = 0.9544.
ANSWER:
Solution 7E
Step1 of 3:
We have We have random variable X which follows normal distribution with mean 650 and variance 625.
That is
= 25.
We need to find,
(a) P(600 ≤ X < 660).
(b) A constant c > 0 such that P(|X −650| ≤ c) = 0.9544.
Step2 of 3:
Let “X” be random variable which follows normal distribution with parameters .
That is X N(
)
X N[
625]
The probability mass function of normal distribution is given by
,
Where,
= mean of X