Answer:0.0228
Step-by-step explanation:
Assuming the letter of Alphabet A is a random variable which represents the small bowl and the letter of Alphabet B is the random variable which represents the large bowl.......
Therefore, the total amount of large bowl and small bowl is B+A and the difference between the large bowl and the small bowl is B-A....................
The first thing to do is to find the variance followed by the determination of the z-score.
(A). Variance= σ= √( σ^2(B) + σ^2(A)..........-----------------------------------------------------------------------------------(1)..
Then,
σ= √(0.4^2 + 0.3^2).
σ= 0.5.
(B). Hence, we calculate for the z-factor.
Therefore, z= 0 - 1/ 0.5.
= -2.
So, P(B - A < 0) = 0.0228.