Question

In: Statistics and Probability

Let Z be a standard normal random variable. Use the calculator provided, or this table, to...

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.

Solutions

Expert Solution

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:


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