Question

teachers’ salaries in north dakota the average teacher’s salary in north dakota is $35,441. assume a normal distribution with σ = $5100. use the standard normal distribution table. round the final answers to at least 4 decimal places and round intermediate z - value calculations to 2 decimal places. part: 0 / 2 part 1 of 2 what is the probability that a randomly selected teacher’s salary is greater than $39,200? p(x > 39,200) = 0.0036

Explanation:

Step1: Calculate z-value

$z = \frac{X - \mu}{\sigma} = \frac{39200 - 35441}{5100} \approx 0.74$

Step2: Find probability for z=0.74

From standard normal table, $P(Z \leq 0.74) = 0.7704$
$P(Z > 0.74) = 1 - 0.7704 = 0.2296$

Answer:

0.2296