0.238914 is the  probability that the oven will have a temperature between 434 degrees and 450  degrees.
Option C
Step-by-step explanation:
Here we have , An industrial oven has a mean operating temperature of 450 degrees Fahrenheit  with a standard deviation of 25 degrees. We need to find  what is the  probability that the oven will have a temperature between 434 degrees and 450  degrees . Let's find out:
Step 1: Sketch the curve.
The probability that 434<X<450 is equal to the blue area under the curve.
Step 2:
Since μ=450 and σ=25 we have:
P ( 434<X<450 )=P ( 434−450< X−μ<450−450 )
⇒ P ( 434−450/25< X−μ/σ < 450−450/25)
Since Z = x−μ/σ , 434−450 25 = −0.64 and 450−450/25 = 0 we have:
P ( 434<X<450 )=P ( −0.64<Z<0 )
Step 3: Use the standard normal table to conclude that:
P ( −0.64<Z<0 )=0.2389
Therefore , Correct option C) 0.238914 .
