Suppose X is a normal random variable with mean
μ = 70
and standard deviation σ = 5. Find a such that
P(X ≥ a) = 0.01.
(Round your answer to one decimal place.)
a =
Solution:-
Given that,
mean = = 70
standard deviation = = 5
Using standard normal table,
P(X ≥ a) = 0.01.
= 1 - P(Z < z) = 0.01
= P(Z < z) = 1 - 0.01
= P(Z < z ) = 0.99.
z =2.33 ( using z table )
Using z-score formula,
x = z * +
=2.33*5+70
x=81.6
a=x=81.6
Suppose X is a normal random variable with mean μ = 70 and standard deviation σ...
Suppose X is a normal random variable with mean μ = 70 and standard deviation σ = 7. Find b such that P(70 ≤ X ≤ b) = 0.3. HINT [See Example 3.] (Round your answer to one decimal place.) b =
Suppose X is a normal random variable with mean μ = 100 and standard deviation σ = 10. Find a such that P(X ≥ a) = 0.04. (Round your answer to one decimal place.) a =
X is a normal random variable with mean μ and standard deviation σ. Then P( μ− 1.6 σ ≤ X ≤ μ+ 2.6 σ) =? Answer to 4 decimal places.
Suppose the random variable X follows a normal distribution with mean μ=53and standard deviation σ=10. Calculate each of the following. In each case, round your response to at least 4 decimal places. a) P(X<43)= b) P(X>63)= c) P(48<X<68)=
If X is a normal random variable with mean μ = 60 and standard deviation σ = 3, find a. P( X > 57 ) = b. P( X < 63 ) = c. P( 58 < X < 62 ) =
1. X has a normal distribution with the given mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) μ = 41, σ = 20, find P(35 ≤ X ≤ 42) 2. Find the probability that a normal variable takes on values within 0.9 standard deviations of its mean. (Round your decimal to four decimal places.) 3. Suppose X is a normal random variable with mean μ = 100 and standard deviation σ = 10....
Suppose X is a normal variable with mean μ = 4 and standard deviation σ = 2 ; P(x28) 1) Find : a) b) P(-6X s12) b) P(-6
Answer the question for a normal random variable x with mean u and standard deviation o specified below. (Round your answer to four decimal places.) μ = 1.3 and σ = 0.16. Find P(1.00<x< 1.10). P(1.00<x< 1.10) = Answer the question for a normal random variable x with mean u and standard deviation o specified below. (Round your answer to four decimal places.) μ = 1.3 and σ = 0.16. Find P(x >1.35). P(x > 1.35) =
Given that x is a normal variable with mean μ = 49 and standard deviation σ = 6.2, find the following probabilities. (Round your answers to four decimal places.) P(50 ≤ x ≤ 60)
Given that x is a normal variable with mean μ = 51 and standard deviation σ = 6.1, find the following probabilities. (Round your answers to four decimal places.) (a) P(x ≤ 60) (b) P(x ≥ 50) (c) P(50 ≤ x ≤ 60)