Suppose a researcher asks 800 participants to state their preference among 5 flavors of ice cream. In this study, the expected frequency (E) value would be:

a. 100

b. 150

c. 120

d. 160

Respuesta :

Using the binomial distribution, it is found that the expected frequency would be of:

d. 160

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability, and has expected value given by:

[tex]E(X) = np[/tex]

In this problem:

  • There are 800 participants, hence, [tex]n = 800[/tex].
  • Each of the flavors is equally as likely to be chosen, hence, [tex]p = \frac{1}{5} = 0.2[/tex]

Then, the expected frequency is:

[tex]E(X) = np = 800(0.2) = 160[/tex]

And the correct option is d.

A similar problem is given at https://brainly.com/question/24261244