Please help, i need to learn this can someone please show me how to do this step

Question

Please help, i need to learn this can someone please show me how to do this step by step.

Thanks.

2.) Find the z-score corresponding to the given area. Remember, z is distributed as the standard normal distribution with mean of =0 and standard deviation =1 a) The area to the left ofz is 15%. b) The area to the right or is 65%. C) The area to the left of z is 10%. d.) The area to the right or is 5%. e.) The area between-z and z is 95%. (Hint draw a picture and figure out the area to the left of the -z.) f) The area between-z and z is 99%.

Explanation / Answer

Solution:-

a) P(Z < z) = 0.15

=> P(Z < -1.036)

b) P(Z > z) = 0.65

=> P(Z > -0.385) = 0.65

c) P(Z < z) = 0.10

=> P(Z < -1.282)

d) P(Z > z) = 0.05

=> P(Z > 1.645)

e) P(-z < Z < z) = 0.95 ==> Z - score = 1.96

f) P(-z < Z < z) = 0.99 ==> Z - score = 2.576

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Note : by using online calculation

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