Let z be a standard normal random variable with mean μ = 0 and standard deviation σ = 1. Find the value c that satisfies the inequality. (Round your answer to two decimal places.) P(z > c) = 0.0244
Let z be a standard normal random variable with mean μ = 0 and standard deviation...
1) Let Z be the standard normal variable. Find the values of z if z satisfies the given probabilities. (Round your answers to two decimal places.) (a) P(Z > z) = 0.9706 z = ? P(−z < Z < z) = 0.8164 z = ? 2) Suppose X is a normal random variable with μ = 350 and σ = 20. Find the values of the following probabilities. (Round your answers to four decimal places.) (a) P(X < 405) = (b) P(370...
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.
X is a normal random variable with mean μ and standard deviation σ. Then P( μ− 1.7 σ ≤ X ≤ μ+ 2.9 σ) =? Answer to 4 decimal places. (this is all the data I was given)
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 =
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 =
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) =
Consider a standard normal random variable with μ = 0 and a standard deviation σ = 1. Find the following probabilities: a) P (Z <2.9) b) P (Z> 1.32) c) P (-2.72 <Z <2.72) d) P (Z <1.93)
Let z denote a random variable having a normal
distribution with μ = 0 and σ = 1. Determine each of the following
probabilities. (Round your answers to four decimal places.)
(a)
P(z < 0.20) =
(b)
P(z < −0.20) =
(c)
P(0.30 < z < 0.86) =
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 =
A normal random variable x has an unknown mean μ and standard deviation σ = 2. If the probability that x exceeds 1.7 is 0.8023, find μ. (Round your answer to one decimal place.) μ =