Question

for a standard normal distribution, if $p(z\leq a)=0.7116$, what is the value of $p(z\geq a)$?
0.2116
0.2884
0.7116
0.7884

Explanation:

Step1: Use total probability property

For a standard normal distribution, the total probability under the curve is 1, so $P(z \leq a) + P(z \geq a) = 1$.

Step2: Rearrange to solve for $P(z \geq a)$

$P(z \geq a) = 1 - P(z \leq a)$

Step3: Substitute the given value

$P(z \geq a) = 1 - 0.7116$

Answer:

B. 0.2884