Respuesta :

Using the binomial distribution, it is found that there is a 0.04 = 4% probability that both the stocks in your selection had yields of 3.25% or more.

For each stock, there are only two possible outcomes, either it yields 3.25% of more, or it does not. The probability of an stock yielding 3.25% or more is independent of any other stock, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem:

  • There are 2 stocks, hence [tex]n = 2[/tex]
  • We suppose that 20% of them yield 3.25% of more, hence [tex]p = 0.2[/tex].

The probability of both is P(X = 2), hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{2,2}.(0.2)^{2}.(0.8)^{0} = 0.04[/tex]

0.04 = 4% probability that both the stocks in your selection had yields of 3.25% or more.

A similar problem is given at https://brainly.com/question/24863377

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