Assume that X has a normal distribution, and find the indicated probability. The mean is μ= 15.2 and the standard deviation is σ = 0.9. Find the probability that X is greater than 16.1.

Respuesta :

Answer:0.1587

Step-by-step explanation:

z = (x-μ)/σ

mean, μ= 15.2

standard deviation, σ = 0.9

To find the probability that x is greater than 16.1,

x = 16.1

z = (16.1-15.2)/0.9

= 1

Looking at the normal distribution table, the area covered by 0 to 1

=0.8413

Therefore, the probability that x is greater than 16.1, = 11- probability that x = 16.1

= 1-0.8413

= 0.1587