| For a normal random variable, with μ = 18, and
σ = 9, find the following probabilities. |
| (a) | Pr(X ≤ 20.7) |
| (b) | Pr(X > 13.50) |
For a normal random variable, with μ = 18, and σ = 9, find the following...
For a normal random variable, with μ = 20, and σ = 2, find the following probabilities. (a) Pr(X ≤ 21.1) (b) Pr(X > 15.90)
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)
Suppose X is a normal random variable with μ = 35 and σ = 10. Find P(13.7 < X < 30.7). a) 0.3170 b) 0.3267 c) 0.3157 d) 0.6375 e) 0.3280 f) None of the above.
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)
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 ) =
If x is a normal random variable with μ = 50 and σ = 6, then the probability that x is not between 44 and 56 is
Suppose x has a distribution with μ = 35 and σ = 18. (a) If random samples of size n = 16 are selected, can we say anything about the x distribution of sample means? Yes, the x distribution is normal with mean μ x = 35 and σ x = 4.5. No, the sample size is too small. Yes, the x distribution is normal with mean μ x = 35 and σ x = 18. Yes, the x distribution...
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) =
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 =