Question

If P(z < z*) = 0.80, then P(−z* < z < z*) =

If P(z < z*) = 0.80, then P(−z* < z < z*) =

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Answer #1

We are given:

P(z < z*) = 0.80

> z* = 0.841621233572915

The following is obtained graphically:

We now need to find

P(−z* < z < z*)

= P(-0.841621233572915<z<0.841621233572915)

= Pr(Z≤0.8416)−Pr(Z≤−0.8416)=0.8−0.2=0.6

The following is obtained graphically:

Hence

Let me know in the comments if anything is not clear. I will reply ASAP! Please do upvote if satisfied!

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