You Have Two Decks of 26 Cards

question 7

Short Answer

You have two decks of 26 cards. Each card in each of the two decks has a different letter of the alphabet on it. You pick at random one card from each of the two decks. A vowel is worth 3 points and a consonant is worth 0 points. Let X = the sum of the values of the two cards picked. Find E(X), V (X), and the standard deviation of X .

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Definitions:

Parasympathetic Nervous System

Part of the autonomic nervous system responsible for rest and digest activities, counterbalancing the sympathetic nervous system.

Autonomic Nervous System

The part of the nervous system that regulates involuntary bodily functions, including heart rate, digestion, and respiratory rate.

Sympathetic Nervous System

A part of the autonomic nervous system that prepares the body for quick response to perceived threats by accelerating heart rate and increasing blood pressure, among other effects.

Endocrine Glands

Endocrine glands are glands that secrete hormones directly into the bloodstream, regulating various bodily functions and processes.