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 normal distribution?

Solutions

Expert Solution

a) = P(Z > 2.20 ) = P( Z < -2.200 ) = 0.0139 (answer)

b) =P(Z < 1.10 ) = 0.8643 (answer)

c) P ( -1.030 < Z < 0.840 )
= P ( Z < 0.840 ) - P ( Z < -1.03 ) = 0.7995 - 0.1515 = 0.6480 (answer)

d) Z value at 0.77 = 0.7388 (excel formula =NORMSINV( 0.77 ) )

e) Z value at 0.18 = -0.9154 (excel formula =NORMSINV( 0.18 ) )

orchestra answered 1 year ago

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