If the difference follows the Normal model, what's the probability that the small bowl contains more cereal than the large one?

The amount of cereal that can be poured into a small bowl varies with a mean of 1.5 ounces and a standard deviation of 0.3 ounces. A large bowl holds a mean of 2.5 ounces with a standard deviation of 0.4 ounces. You open a new box of cereal and pour one large and one small bowl.

we know that,

z = x - μ / σ

here

x = 0

μ = 1

σ = 0.5

= 0 - 1 / 0.5

= -1/0.5

= -1 / 05 / 10

= -1 * 10 / 5

= -10 / 5

= -2

if z = -2 then p value = 0.0228

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Full question :

The amount of cereal that can be poured into a small bowl varies with a mean of 1.5 ounces and a standard deviation of 0.3 ounces. A large bowl holds a mean of 2.5 ounces with a standard deviation of 0.4 ounces. You open a new box of cereal and pour one large and one small bowl.

If the difference follows the Normal model, what's the probability that the small bowl contains more cereal than the large one?

If the difference follows the Normal​ model, what's the probability that the small bowl contains more cereal than the large​ one?

Answer :

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If the difference follows the Normal model, what's the probability that the small bowl contains more cereal than the large one?