Question

Find

z₀

such that

P(−z₀ < z < z₀) = 0.6.

(Round your answer to two decimal places.)

z₀ =

What percentile does

−z₀

represent? (Round your answer to the nearest whole number.)

th percentile

What percentile does

z₀

represent? (Round your answer to the nearest whole number.)

th percentile

Answer 1

Solution :
P(-z0 < Z < z0) = 0.6

P(Z < z0) - P(Z < z0) = 0.6
2P(Z < z0) - 1 = 0.6
2P(Z < z0) = 1 + 0.6
2P(Z < z0) = 1.6
P(Z < z0) = 1.6 / 2 = 0.8
P(Z < 0.84) = 0.8
z0 = 0.84

−z₀ represent minus 84th percentile

z₀ represent 84th percentile .