Question

What is the probability that the small bowl of cereal contains more cereal than the large?

Answer 1

Answer:0.0228

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.