Question

In: Statistics and Probability

given a standardized normal distribution (with a mean of 0 and a standard deviation of 1)...

given a standardized normal distribution (with a mean of 0 and a standard deviation of 1) determine the following probabilities.

A. p(Z>1.03)

b. P(Z < -0.23)

C. P( -1.96 <Z < -0.23)

D. what is the value of Z if only 11.51% of all possible Z-values are larger?

Solutions

Expert Solution

Refer Standard normal table/Z-table to find the probability.

----------------------------------------------------------------------------------------------------------

Refer Standard normal table/Z-table to find the probability.

----------------------------------------------------------------------------------------------------------

Refer Standard normal table/Z-table to find the probability.

----------------------------------------------------------------------------------------------------------

Refer Standard normal table/Z-table, Lookup for Z-value corresponding to area 0.1151 to the right of the normal curve or use excel formula "=NORM.S.INV(1-0.1151)" to find the Z-value.

orchestra answered 1 year ago

Next > < Previous

Related Solutions

Given a standardized normal distribution (with a mean of 0 and a standard deviation of 1),...

Given a standardized normal distribution (with a mean of 0 and a standard deviation of 1), complete parts (a) through (d) below. a. What is the probability that Z is between - 1.56 and 1.88? b. What is the probability that Z is less than - 1.56 or greater than 1.88? c. What is the value of Z if only 6.5% of all possible Z values are larger? d. Between what two values of Z (symmetrically distributed around...

Given a standardized normal distribution (with a mean of 0 and a standard deviation of 1),...

Given a standardized normal distribution (with a mean of 0 and a standard deviation of 1), complete parts (a) through (d). a. What is the probability that Z is less than 1.53? The probability that Z is less than 1.53 is _______ (Round to four decimal places as needed.) b. What is the probability that Z is greater than 1.84? The probability that Z is greater than 1.84 is _______ (Round to four decimal places as needed.) c. What is the probability that Z...

Given a standardized normal distribution (with a mean of 0 and a standard deviation of 1),...

Given a standardized normal distribution (with a mean of 0 and a standard deviation of 1), complete parts (a) through (d). Show ALL Work. a. What is the probability that Z is less than 1.53? The probability that Z is less than 1.53 is .9370 (Round to four decimal places as needed.) b. What is the probability that Z is greater than 1.85? The probability that Z is greater than 1.85 is .0322 (Round to four decimal places as needed.)...

Given a standardized normal distribution (with a mean of 0 and a standard deviation of 1),...

Given a standardized normal distribution (with a mean of 0 and a standard deviation of 1), what is the probability that: a. Z is between -1.57 and 1.84 b. Z is less than -1.57 or greater than 1.84 c. What is the value of Z if only 25 percent of all possible Z values are larger d. Between what two values of Z (symmetrically distributed around the mean) will 68.26 percent of all possible Z values be contained?

Given a standardized normal distribution (with a mean of 0 and a standard deviation of 1)...

Given a standardized normal distribution (with a mean of 0 and a standard deviation of 1) complete parts (a) through (d) a. The probability that Z is less than -1.59 is _______ b. The probability that Z is greater than 1.81 is________ c. The probability that Z is between -1.59 and 1.81 is______ d. The probability that Z is less than -1.59 or greater than 1.81______

Given a standardized a normal distribution (with a mean of 0 and a standard deviation of...

Given a standardized a normal distribution (with a mean of 0 and a standard deviation of 1, as in Table E.2), what is that probability that a. Z is less than 1.57? b. Z is greater than 1.84? c. Z is between 1.57 and 1.84? d. Z is less than 1.57 or greater than 1.84?

given a standardized normal distribution(with a mean of 0 and a standard deviation of 1) complete...

given a standardized normal distribution(with a mean of 0 and a standard deviation of 1) complete parts a through d what is the probability that z is between-1.5 and 1.81 what is the probability that z is less than -1.53 or greater than 1.81 what is the value of z if only 1% of all possible z values are larger between what two values of z (symmetrically distributed around the mean) will 97.22% of all possible z values be contained

Consider the standard normal distribution with mean  = 0, and standard deviation  = 1...

Consider the standard normal distribution with mean  = 0, and standard deviation  = 1 a. What is the probability that an outcome z is greater than 2.20? b. What is the probability that z is less than 1.1? c. What is the probability that z is between -1.03 and 0.84? d. What value of z cuts off the upper 23% of the standard normal distribution? e. What value of z cuts off the lower 18% of the standard...

Suppose Z has a standard normal distribution with a mean of 0 and standard deviation of...

Suppose Z has a standard normal distribution with a mean of 0 and standard deviation of 1. The probability that Z is less than 1.15 is

Some IQ tests are standardized to a Normal distribution with mean 100 and standard deviation 16....

Some IQ tests are standardized to a Normal distribution with mean 100 and standard deviation 16. (a) [5 points] What proportion of IQ scores is between 95 and 105? (b) [5 points] What is the 80th percentile of the IQ scores? (c) [5 points] A random sample of 10 candidates are about to take the test. What is the probability that at least half of them will score between 95 and 105? (d) [5 points] A random sample of 10...

Subjects