Basic Computation Finding Probabilities In problems 3150 let

Basic Computation: Finding Probabilities In problems 31-50, let z be a random variable with a standard normal distribution. Find the indicated probability and shade the corresponding area under the standard normal curve.

Solution

too many question Im solving one of each type:

33.
P(Z< -0.13 )
= 1 - P(Z<0.13)
= 1 - 0.5517
= 0.4483

[To find P(Z<0.13) look in the standard normal table in the row 0.10 and column 0.03 (0.13 = 0.10+0.03), the value obtained is 0.5517]

37.
P(Z> 1.35 )
= 1 - P(Z<1.35)
= 1 - 0.9115
= 0.0885

41.
P( -1.20 <Z< 2.64 )
= P(Z<2.64) - P(Z<-1.2)
= P(Z<2.64) - (1 - P(Z<1.2))
= 0.9959 - ( 1 - 0.8849)
= 0.9959 - 0.1151
= 0.8808

44.
P( -1.78 <Z< -1.23 )
= P(Z<-1.23) - P(Z<-1.78)
= (1 - P(Z<1.23)) - (1 - P(Z<1.78))
= ( 1 - 0.8907) - ( 1 - 0.9625)
= 0.1093 - 0.0375
= 0.0718