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) =
from standard normal distribution:
a)P(Z< 0.2) =0.5793
b) P(Z<-0.20) =0.4207
c)P(0.3<z<0.86)=0.8051-0.6179 =0.1872
Let z denote a random variable having a normal distribution with μ = 0 and σ...
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...
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 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) =
please explain these throughly!!! Thank you so much! Let Z be a standard normal random variable. Use the calculator provided, or this table, to determine the value of c. P(0.86 <2<c)=0.1737 Carry your intermediate computations to at least four decimal places. Round your answer to two decimal places. Tx 5 ? Suppose that pulse rates among healthy adults are normally distributed with a mean of 79 beats/minute and a standard deviation of 8 beats/minute. What proportion of healthy adults have...
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 standard normal random variable. Use the calculator provided, or this table, to determine the value of c. Plc<z<0.86)=0.7615 Carry your intermediate computations to at least four decimal places. Round your answer to two decimal places. 5 ?
A random variable, x, has a normal distribution with μ = 15.9 and σ = 2.80. Determine a value, x0, so that: a. P(x>x0) = 0.05 x0 = ______ . (Round to one decimal place as needed.) b. P(x≤x0) = 0.975 x0 = ______ . (Round to one decimal place as needed.)
A random variable, x, has a normal distribution with μ = 15.9 and σ = 2.80. Determine a value, x0, so that: a. P(x>x0) = 0.05 x0 = ______ . (Round to one decimal place as needed.) b. P(x≤x0) = 0.975 x0 = ______ . (Round to one decimal place as needed.)
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].
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) =