Question

In: Statistics and Probability

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

Solutions

Expert Solution

mean=0

sd=1

P(Z<1.15)

from normal distribution table it corresponds to an area of 0.8749

therfore

The probability that Z is less than 1.15 is 0.8749


Related Solutions

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...
Find the indicated z score. The graph depicts the standard normal distribution with mean 0 and standard deviation 1
1) Find the indicated z score. The graph depicts the standard normal distribution with mean 0 and standard deviation 1 (0.9616) 2) Find the area of the shaded region. The graph depicts the standard normal distribution with mean 0 and standard deviation 1. The shaded area is z=0.98 to the left.
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),...
  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 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?
Suppose x has a normal distribution with mean μ = 57 and standard deviation σ =...
Suppose x has a normal distribution with mean μ = 57 and standard deviation σ = 12. Describe the distribution of x values for sample size n = 4. (Round σx to two decimal places.) μx = σx = Describe the distribution of x values for sample size n = 16. (Round σx to two decimal places.) μx = σx = Describe the distribution of x values for sample size n = 100. (Round σx to two decimal places.) μx...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT