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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
A balanced coin is tossed three times. Let Y equal the number of heads observed.
a Use the formula for the binomial probability distribution to calculate the probabilities associated with Y = 0, 1, 2, and 3.
b Construct a probability distribution similar to the one in Table 3.1.
c Find the expected value and standard deviation of Y , using the formulas E(Y ) = np and V(Y )= npq.
d Using the probability distribution from part (b), find the fraction of the population measurements lying within 1 standard deviation of the mean. Repeat for 2 standard deviations. How do your results compare with the results of Tchebysheff’s theorem and the empirical rule?
Table 3.1

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