In: Statistics and Probability
Let Z be a standard normal random variable. Use the calculator provided, or this table, to determine the value of c.
P(−0.96≤Z≤c)=0.7963
Carry your intermediate computations to at least four decimal places. Round your answer to two decimal places.
to determine the value of c for
P(−0.96≤Z≤c)=0.7963 we need to find the probability below Z<-0.96 which is calculated either by excel formula or by Z table shown below as:
The P(Z<-0.96) =0.1685
and P(−0.96≤Z≤c)= P(Z<c) -P(Z<-0.96)
=> 0.7963+0.1685 = P(Z<c)
=> P(Z<c)= 0.9648
Now we use the Z table and find out the Z value corresponding to the probability value which is:
c= 1.81
The Z table is: