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Richard and Cameron buy a carton containing 6 66 eggs. The back of the carton says, "The expected number of broken eggs per package is 0.12 0.120, point, 12." Richard says, "The probability that one of these cartons contains a broken egg is 0.12 0.120, point, 12, on average." Cameron says, "For every 100 100100 packages like this, we'd predict about 12 1212 broken eggs in total." Whose statement is correct based on the expected value?

Respuesta :

Using the binomial distribution, it is found that Cameron's statement is correct based on the expected value.

What is the binomial probability distribution?

It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.

The expected value of the binomial distribution is:

E(X) = np.

In this problem, we have that:

  • The probability of a package containing a broken egg is of p = 0.12.
  • There is a sample of 100 packages, hence n = 100.

Thus, the expected value is given by:

E(X) = np = 100 x 0.12 = 12.

Hence, Cameron's statement is correct.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

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