This 2 pts normal distribution (with a mean of 0 and a standard deviation of 1),

Question

This 2 pts normal distribution (with a mean of 0 and a standard deviation of 1), complete parts (a) through (d) below 1 of the cumulative a. What is the probability that Z is between -1.54 and 1.86? The probability that Z is between -154 and 1.30 is (Round to four decimal places as needed.) b. What is the probability that Z is less than -1.54 or greater than 1.807 The probability that Z is less than -1.54 or greater than 1.86 is (Round to four decimai places as needed) e. what is the value of Z if only 35% of all possible Z values are larger? The value of Z if only 3.5% of all possibie Z values are larger is® (Round to two decimai paces as needed ) d. Between what two values of Z (symmetrically distributed areun the means will 9722% of al posible 2 vaies be contained and [] The two values of Z for which 97.22% of ai possibie Z values re conta-ned between are Use ascending order Round to two decimal paces as needed i

Explanation / Answer

a)P(-1.54<Z<1.86)=0.9686-0.0618 =0.9068

b)P(Z<-1.54)+P(Z>1.86)=1-P(-1.54<Z<1.86) =1-0.9068=0.0932

c)z =1.81

d)...... between are -2.20 and 2.20

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