The probability that exactly 6 individuals in the sample favor this president candidate is 0.2068.
<h3>Define probability.</h3>
The area of mathematics known as probability deals with the outcomes of random events. Probability refers to a result's chance or potential. It clarifies the likelihood that a specific occurrence will take place. We frequently say things like, "He will probably pass the test," "There is very little chance of receiving a storm tonight," and "Most likely the price of onions will increase once more." We substitute the word probability for every instance of chance, uncertainty, maybe, likely, etc. in these statements. In essence, probability is the ability to anticipate an outcome based on the variety and quantity of potential possibilities or the analysis of historical data.
Given,
P( favor president) = 0.4
P( does not favor president) = 0.6
P( x = 6)
= ¹⁵C₆ (0.4)⁶(0.6)⁶⁻³
= 15!/6!9! (0.6)³(0.4)⁶
= 0.2068916
= 0.2068
The probability that exactly 6 individuals in the sample favor this president candidate is 0.2068.
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