Question

Let z be a random variable with a standard normal distribution. Find the indicated probability. (Round your answer to four decimal places.)

P(z ≥ −1.12) =

Shade the corresponding area under the standard normal curve.

Answer 1

Given that Z is a standard normal variate and hence the corresponding curve is standard normal curve. The required area P(Z>= -1.12) is

Now,

P(Z >= -1.12) = 1 - P(Z < -1.12)

The value P(Z < -1.12) can be find out using the following z-table

From above z-table we have P(Z < -1.12) = 0.1314

Hence, P(Z >= -1.12) = 1 - 0.1314 = 0.8686

Therefore, P(Z >= -1.12) = 0.8686

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