Chad buys peanuts in 2-pound bags. He repackages them into bags that hold 5/6 pound of peanuts. How many 2-pound bags of peanuts
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Answer:
The probability that the number of correct answers is 4 is 0.2461.
Step-by-step explanation:
Let <em>X</em> = number of correct answers.
The probability that an answer is correct is,P (X) = <em>p</em> = 0.50.
The total number of questions is, <em>n</em> = 9.
The event of an answer being correct is independent of the other answers.
The success of each trial is defined as a correct answer with equal probability of success for each trial, i.e. 0.50.
The random variable <em>X</em> follows a Binomial distribution with parameter <em>n</em> = 9 and <em>p </em>= 0.50.
The probability mass function of <em>X</em> is:
Compute the value of P (X = 4) as follows:
Thus, the probability that the number of correct answers is 4 is 0.2461.