Use the Normal Distribution to Approximate the Desired Probability

question 4

Multiple Choice

Use the normal distribution to approximate the desired probability.
-The prizes that can be won in a sweepstakes are listed below together with the chances of winning each one: $5300 (1 chance in 8600) ; $2500 (1 chance in 5300) ; $700 (1 chance in 3500) ; $200 (1 chance in 2800) . Find the expected value of the amount won for one entry if the cost of entering is 73 cents.

• A)$0.67
• B)$0.63
• C)$1.29
• D)$200

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Definitions:

Nervous System

Organ system of humans that includes the brain, spinal cord, sense organs (eyes, ears, etc.), and associated nerves. Receives, integrates, and stores sensory input; coordinates activity of other organ systems.

Endocrine System

Organ system involved in the coordination of body activities; uses hormones as chemical signals secreted into the bloodstream.

Altruism

Social interaction that has the potential to decrease the lifetime reproductive success of the member exhibiting the behavior.

Dominance Hierarchy

A social structure within a group of animals where individuals are ranked according to their level of dominance or power.