Suppose Z has a standard normal distribution with µ = 0 and σ = 1.
Find z0 such that P(Z < z0) = 0.67
a. z0 = 0.17
b. z0 = 0.2486
c. z0 = 0.44
d. z0 = 0.95
Suppose Z has a standard normal distribution with µ = 0 and σ = 1. Find...
Suppose Z has standard normal distribution. What is P(Z < -0.44)? A.) 0.33 B.) -0.15 C.) 0.67 D.) 0.3446
Let X have a normal distribution with µ=10 and σ=2. Transform X to the standard normal form Z. Match P(X>14). a) p(z<-1) b) p(z<-2) c) p(-2<z<2) d) p (z>2)
What percent of a standard normal distribution N(µ = 0,σ = 1) is found in each region? Be sure to draw a graph. A. |Z| > 2
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...
A population data set with a normal distribution has a mean µ = 4 and a standard deviation σ = 1.1. Find the approximate proportion of observations in the data set that lie below 5.1? A. 0.84 B. 0.17 C. 0.34 D. 0.68
Suppose that a random variable ?z has a standard normal distribution. Use a standard normal table such as this one to determine the probability that ?z is between −0.67 and 0.33. Give your answer in decimal form, precise to at least three decimal places. ?(−0.67<?<0.33)=P(−0.67<z<0.33)=
Find a value of the standard normal random variable z, called z 0, such that P(z < z 0) = .43 A. z0 = .18 B. z0 = -1.86 C. z0 = 1.86 D. z0 = -.18
Suppose that Z is the standard normal distribution. Find P(Z<-1.81). Suppose that Z is the standard normal distribution. Find P(Z>2). Suppose that Z is the standard normal distribution. Find P(-1.95<Z<1.07). Suppose that Z is the standard normal distribution. What value of Z represents the 20th percentile?
Given a standard normal distribution (SND) with µ = 70 and a σ = 10, what is the area under the curve above X1 = 70? Given a standard normal distribution (SND) with µ = 70 and a σ = 10, what is the area under the curve above Z1 = 0?
Given a normal distribution with µ = 100 and σ = 10, if you select a sample of n = 25, what is the probability that ? is Between 95 and 97.5? (a) 0.9878 (b) 0.0994 (c) 0.9500 (d) 0.8616 8. Given a normal distribution with µ = 100 and σ = 10, if you select a sample of n = 25, there is a 64.8% chance that ? is above what value? [Hint find A such that P(?� >A)=0.648]...