11. Let z denote a random variable having a standard normal distribution. Determine each of the following probabilities.
a) P(z < 0.78)
b) P(z < −1.25)
c) P(z > −1.51)
d) P(−0.30 < z < 1.84)
11. Let z denote a random variable having a standard normal distribution. Determine each of the...
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 a random variable having a standard normal distribution. Determine P left parenthesis minus 1.56 less than x less or equal than 1.56 right parenthesis.
Let Z denote the standard normal random variable. If P(0 < Z < b) = 0.437, what is the value of b?
Let Z denote the standard normal random variable. If P(0 < Z < b) = 0.437, what is the value of b?
Let z be a random variable with a standard normal distribution. Find the indicated probability. (Round your answer to four decimal places.) P(z ≤ −0.11) = P(z ≥ 1.25) = P(−1.17 ≤ z ≤ 2.44) = P(0 ≤ z ≤ 1.65) =
2. Random variable Z has the standard normal distribution. Find the following probabilities a): P[Z > 2] b) : P[0.67 <z c): P[Z > -1.32] d): P(Z > 1.96] e): P[-1 <Z <2] : P[-2.4 < Z < -1.2] g): P[Z-0.5) 3. Random variable 2 has the standard normal distribution. Find the values from the following probabilities. a): P[Z > 2) - 0.431 b): P[:<] -0.121 c): P[Z > 2] = 0.978 d): P[2] > 2] -0.001 e): P[- <Z...
Problem 3-21 (Algorithmic) For the standard normal random variable z, compute the following probabilities (if required, round your answers to four decimal places): P (0 ≤ z ≤ 0.88) = P (-1.51 ≤ z ≤ 0) = P (z > 0.43) = P (z ≥ -0.24) = P (z < 1.80) = P (z ≤ -0.78) =
Let the random variable Z follow a standard normal distribution. What is P(Z > -0.21)? A) 0.4207 B) 0.4168 C) 0.5793 D) 0.5832
Let Z be a standard normal random variable. Determine the value z such that P(Z > z) = a0.1003. b -1.04 c-0.65 d 0.75 c 1.28
1. Let Z be the standard normal random variable. Find (a) P(Z > −1.78) = (b) P(−.60 < Z < 1.25) = (c) z.005 = (d) z.025 =