Suppose a and B Are Two Mutually Exclusive Events for Which

question 21

Essay

Suppose A and B are two mutually exclusive events for which P(A) = 0.25 and P(B) = 0.60.
a. Find P(A $\cap$ B).
b. Find P(A $\cup$ B).
c. Find P(A | B).
d. Are A and B independent events? Explain using probabilities.

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Definitions:

Intestinal Epithelial Cells

Cells that line the interior surface of the intestines, playing roles in nutrient absorption, secretion, and serving as a barrier to pathogens.

Emulsify Fats

The process of breaking down fats into smaller droplets, typically by the action of bile acids, to make them easier to digest.

Bile Salts

Components of bile, which aid in the digestion and absorption of fats in the small intestine by emulsifying fats.

Micelles

Aggregates of surfactant molecules dispersed in a liquid colloid, forming a structure with a hydrophilic (water-attracting) exterior and a hydrophobic (water-repelling) core.