# Find the following probability for the standard normal random variable z. a.​P(z=3)e.​P(−3 less than or equals≤zless than or equals≤33​)b.​P(z less than or equal to 3)f.​P(−2 less than or equals≤zless than or equals≤2)c.​P(zless than<3)g.​P(negative 2.37−2.37less than or equals≤zless than or equals≤0.930.93​)d.​P(zgreater than>3)h.​P(negative 0.37−0.37less than<zless than<1.571.57​)

Question
Find the following probability for the standard normal random variable z.

 a. ​P(z=3) e. ​P(−3 less than or equals≤zless than or equals≤33​) b. ​P(z less than or equal to 3) f. ​P(−2 less than or equals≤zless than or equals≤2) c. ​P(zless than<3) g. ​P(negative 2.37−2.37less than or equals≤zless than or equals≤0.930.93​) d. ​P(zgreater than>3) h. ​P(negative 0.37−0.37less than
Step 1

Hello there! there are more than 3 sub parts in the question. According to our policies can answer 3 sub parts. Please do find the solution for a,b,c. If you have doubts in other parts of question, kindly request as a new question.

Step 2

we need to find the probability for P(Z=3)

We use Z table to find the cumulative probabilities. Here it ...

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