Question

Please figure out last question part d Given a standardized normal distribution​ (with a mean of 0 and a standard deviation of​ 1), complete parts​ (a) through​ (d) below. Click here to view page 1 of the cumulative standardized normal distribution table. LOADING... Click here to view page 2 of the cumulative standardized normal distribution table. LOADING... a. What is the probability that Z is between negative 1.56 and 1.83 ​? The probability that Z is between negative 1.56 and 1.83 is . 907 . ​(Round to four decimal places as​ needed.) b. What is the probability that Z is less than negative 1.56 or greater than 1.83 ​? The probability that Z is less than negative 1.56 or greater than 1.83 is . 093 . ​(Round to four decimal places as​ needed.) c. What is the value of Z if only 2 ​% of all possible Z values are​ larger? The value of Z if only 2 ​% of all possible Z values are larger is 2.06 . ​(Round to two decimal places as​ needed.) d. Between what two values of Z​ (symmetrically distributed around the​ mean) will 72.86 ​% of all possible Z values be​ contained? The two values of Z for which 72.86 ​% of all possible Z values are contained between are nothing and ______ Please figure out last question Part D .

Answer 1

Given a standardized normal distribution. Let represent the CDF of the distribution.

a)What is the probability that Z is between is

b) The probability that Z is less than -1.56 or greater than 1.83 is

c) The value of Z if only 2% of all possible Z values are​ larger is found as

d) The two values of Z​ (symmetrically distributed around the​ mean) will 72.86% of all possible Z values be​ contained is such that

So between