Question

In: Statistics and Probability

Find a value with a graph, z0, such as: a) P(z ≥ z0) = 0.06 b)...

Find a value with a graph, z0, such as:

a) P(z ≥ z0) = 0.06

b) P (z > z0) = 0.85

c) P (-z0 < z < z0) = 0.88

Expert Solution

Solution:

Given that,

Using standard normal table,

a) P(z z0) = 0.06

P(z z0) = 1 - 0.06

P(z z0) = 0.94

z₀ = 1.55

b) P(z z0) = 0.85

P(z z0) = 1 - 0.85

P(z z0) = 0.15

z₀ = -1.04

c) P (-z0 < z < z0) = 0.88

P(Z < z0) - P(Z < z0) = 0.88

2P(Z < z0) - 1 =0.88

2P(Z < z0) = 1 + 0.88

2P(Z < z0) = 1.88

P(Z < z0) = 1.88 / 2 = 0.94

P(Z < z0) = 0.94

z0 = 1.55

orchestra answered 2 years ago

Find the value of the standard normal random variable z, called z0 such that: (b) P(−z0≤z≤z0)=0.3264 (c) P(−z0≤z≤z0)=0.8332...

Find the value of the standard normal random variable z, called z0 such that: (b) P(−z0≤z≤z0)=0.3264 (c) P(−z0≤z≤z0)=0.8332 (d) P(z≥z0)=0.3586 (e) P(−z0≤z≤0)=0.4419 (f) P(−1.15≤z≤z0)=0.5152

1)What is z0 if P(z > z0) = 0.12 P(z < z0) = 0.2 P(z >...

1)What is z0 if P(z > z0) = 0.12 P(z < z0) = 0.2 P(z > z0) = 0.25 P(z < z0) = 0.3

Find a z0 such that P(z < z0) = 0.8907. (Round your answer to two decimal...

Find a z0 such that P(z < z0) = 0.8907. (Round your answer to two decimal places.)

1. For a standard normal distribution, determine the z-score, z0, such that P(z < z0) =...

1. For a standard normal distribution, determine the z-score, z0, such that P(z < z0) = 0.9698. 2. From a normal distribution with μμ = 76 and σσ = 5.9, samples of size 46 are chosen to create a sampling distribution. In the sampling distribution determine P(74.399 < ¯xx¯ < 78.079). 3. From a normal distribution with μμ = 81 and σσ = 2.7, samples of size 48 are chosen to create a sampling distribution. In the sampling distribution determine...

If Z is a standard normal random variable, find the value z0 for the following probabilities....

If Z is a standard normal random variable, find the value z0 for the following probabilities. (Round your answers to two decimal places.) (a) P(Z > z0) = 0.5 z0 = (b) P(Z < z0) = 0.9279 z0 = (c) P(−z0 < Z < z0) = 0.90 z0 = (d) P(−z0 < Z < z0) = 0.99 z0 =

(a) Find P [Z > 1.26]. (b) Find P [Z > -1.37}. (c) find P[-1.25 (a)...

(a) Find P [Z > 1.26]. (b) Find P [Z > -1.37}. (c) find P[-1.25 (a) Find P [Z > 1.26]. (b) Find P [Z > -1.37}. (c) find P[-1.25<Z<0.37). (d) find z such that P[Z>z]=0.05. (e) find z such that P[-z<Z<z]=0.99. (f) find the value of k such that P[k<Z<-0.18]=0.4197

1.- Find the following probabilities. (a) P(Z > 1.4) (b) P(−1 < Z < 1)...

1.- Find the following probabilities. (a) P(Z > 1.4) (b) P(−1 < Z < 1) (c) P(Z < −1.49) 2.- Find (a) Z0.03 (b) Z0.07 3.- The distance that a Tesla model 3 can travel is normally distributed with a mean of 260 miles and a standard deviation of 25 miles. (a) What is the probability that a randomly selected Tesla model 3 can travel more than 310 miles? (b) What is the probability that a randomly selected Tesla...

Find the indicated probabilities using a standard normal distribution a. P(Z < 1.85) b. P(Z <...

Find the indicated probabilities using a standard normal distribution a. P(Z < 1.85) b. P(Z < -1.54 or Z > 1.54)

A) Find the z critical value for a 90% confidence level: Zc= B) Find the z...

A) Find the z critical value for a 90% confidence level: Zc= B) Find the z critical value for an 84% confidence level: Zc= C) The higher the confidence, the narrower the confidence interval True or False D) The greater the sample size, the mnarrower the confidence interval True or False E) In a recent study of 84 eighth graders, the mean number of hours per week that they watched TV was 22.3. Assume population standard deviation is 5.8 hours....

Find: P(Z < -1.24) and also P( Z > 2.73)