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Use the Normal Distribution to Approximate the Desired Probability

question 74

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Use the normal distribution to approximate the desired probability.
-A coin is tossed 20 times. A person, who claims to have extrasensory perception, is asked to predict the outcome of each flip in advance. She predicts correctly on 11 tosses. What is the probability of being correct 11 or more
Times by guessing? Does this probability seem to verify her claim?


Definitions:

Real Rate Of Return

The annual percentage gain or loss on an investment, adjusted for inflation, providing a more accurate measure of the purchasing power of the return.

Risk Premium

The risk premium is the additional return an investor requires for choosing a risky investment over a risk-free asset, compensating for the extra risk undertaken.

Arithmetic Average Return

The simple average of a series of returns generated over a period of time.

Variance

A statistical measurement of the dispersion of returns for a given security or market index, indicating volatility.

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