Quiz This Question: 1 pt Given a standardized normal distribution (with a mean o

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Quiz This Question: 1 pt Given a standardized normal distribution (with a mean of 0 and a standard deviation of 1), complete parts (a) through (d) below distribution table. a. What is the probability that Z is between -1.52 and 1.84? The probability that Z is between -1.52 and 1,84 is Round to four decimal places as needed) b. What is the probability that Z is less than -152 or greater than 1.84? The probablity that Z is less than-152 or greater than 1 84 is (Round to four decimal places as needed) c.what is the value of Z if only 4 5% of all possible Z values are larger? The value of Z if only 45% of all possible Z values are larger is Round to two decimal places as needed.) what two values of Z (synmmetrically distributed around the mean) w 80.64% of all possible Z values be contained? The two values of Z for which 80 64% of a possible Z values are contained between areand (Use ascending order, Round to two decimal places as needed) Enter your answer in each of the answer boxes 0 Type here to search

Explanation / Answer

Solution:-
a) P(-1.52 < Z < 1.84 ) = 0.9028

b) 1 - P(-1.52 < Z < 1.84 ) = 1 - 0.9028 = 0.0972

c) the value of Z if only 4.5% of all posissible Z value are large is 1.70

d) The two values of Z for which 80.64% of all possible Z values are contained between are -1.3 and 1.3

=> 0.8064/2 = 0.4032
.5 - 0.4032 = 0.0968
Z = -1.3 and + 1.3

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