The flying time of a drone airplane has a normal distribution with mean 4.76 hours and standard deviation of .04 hours.What is the probability that the drone will fly: Less than 4.66 hours?
A)-.0062
B).5062
C).0062
D).9938

Question

Quizplus · Accepted Answer

We need to standardize the value of 4.66 hours using the formula z = (x-μ)/σ where μ = 4.76 hours, σ = 0.04 hours, and x = 4.66 hours.

So, z = (4.66 - 4.76) / 0.04 = -2.5

Now, we need to find the probability that the drone will fly less than 4.66 hours, which is equivalent to finding the area to the left of z = -2.5 in the standard normal distribution table.

Looking at the table, we find that the area to the left of z = -2.5 is 0.0062 (approximately).

Therefore, the probability that the drone will fly less than 4.66 hours is 0.0062, which is option C.

The Flying Time of a Drone Airplane Has a Normal