Answer: 0.1359
Step-by-step explanation:
mean = $400
Standard deviation = $50
Since the wages is normally distributed , the first thing is to find the z - score.
z =
finding the z - value for 300 and 350 , we have
z =
z =
2 = -2
also
z =
z =
z = -1
The next thing is to check the calculated value on z - table.
From z - table :
P (z -2 ) = 0.0228
P ( z ) = 0.1587
combining the two
P ( -2z
-1 ) = 0.1587 - 0.0228
P ( -2z
-1 ) = 0.1359
Therefore , the the probability that a worker
selected at random makes between
$300 and $350 = 0.1359