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 < 376)
=
(c) P(X > 370) =
1) Let Z be the standard normal variable. Find the values of z if z satisfies...
Let Z be the standard normal variable. Find the values of z if z satisfies the given probabilities. (Round your answer 2 decimal places) A: P(Z > z) = .9484 z = ? B: P(-z < Z < z)= .8294 z = ?
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) =
Let Z be the standard normal variable. Find z if z satisfies the given value. (Round your answer to two decimal places.) P(−z < Z < z) = 0.9802
Find the value 2* that satisfies each of the following probabilities for a standard normal random variable Z. (Round your answers to two decimal places.) (a) P(Z sz*) - 0.0485 (b) PIZ sz*) = 0.9515 (c) P(-x* SZ SZ") - 0.903
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....
Let z be a random variable with a standard normal distribution. Find the indicated probability. (Round your answer to four decimal places.) P(z ≤ −1.94) = [x].
O RANDOM VARIABLES AND DISTRIBUTIONS Standard normal values: Basic Let z be a standard normal random variable. Use the calculator provided, or this table, to determine the value of c. P(-c<Z<c)=0.9500 Carry your intermediate computations to at least four decimal places. Round your answer to two decimal places. x 5 ?
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)
Let z be a random variable with a standard normal distribution. Find the indicated probability. (Round your answer to four decimal places.) P(−2.12 ≤ z ≤ −0.41) =
Let z be a random variable with a standard normal distribution. Find the indicated probability. (Round your answer to four decimal places.) P(−2.07 ≤ z ≤ −0.49) =