Question

Binomial Distributions

A set of 10 cards consists of 5 red cards and 5 black cards. Thecards are shuffled thoroughly and a single card is chosen atrandom. Its color is determined andreplaced in the set. The cards are shuffled thoroughly and a single card is randomly chosen,its color observed and replaced in the set. This processisrepeated a total of 4 times. Let the random variable X be thenumber of red cards obeserved in these four trials. Determine themean and the standard deviation ofthis binomial process.

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