It is known that 60 percent of all registered voters in the 42nd Congressional District are Republicans. Three registered voters are selected at random from the district. Compute the probability that exactly 2 of the 3 selected are Republicans, using: The rules of probability

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Answer:

0.11

Step-by-step explanation:

Let x be a random variable representing the number of registered voters in the congressional district. This is a binomial distribution since the outcomes are two ways. It is either a randomly selected registered voter is a conservative or not. The success would be that a randomly selected voter is a conservative. The probability of success, p = 60/100 = 0.6

The probability of failure, q would be 1 - p = 1 - 0.6 = 0.4

Given n = 10, we want to determine P(x = 4)

From the binomial distribution calculator,

P(x = 4) = 0.11