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A skincare company posts advertisements via social media. The probability model describes the number of times the company may post in a day. Posts Made 0 1 2 3 4 5 P(X) 0.05 0.1 0.35 0.25 0.2 0.05 How many posts would you expect the company to post each day? (4 points) 3.4 3.05 2.6 2.45 2.1

Sagot :

Answer:

It's 2.6

Step-by-step explanation:

Someone else put that it's 2.06 but it is actually 2.6

Using the discrete distribution, it is found that the expected number of posts of the company each day is 2.6.

Distribution:

The discrete distribution is:

  • [tex]P(X = 0) = 0.05[/tex]
  • [tex]P(X = 1) = 0.1[/tex]
  • [tex]P(X = 2) = 0.35[/tex]
  • [tex]P(X = 3) = 0.25[/tex]
  • [tex]P(X = 4) = 0.2[/tex]
  • [tex]P(X = 5) = 0.05[/tex]

Expected value:

  • The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability, hence:

[tex]E(X) = 0(0.05) + 1(0.1) + 2(0.35) + 3(0.25) + 4(0.2) + 5(0.05) = 2.6[/tex]

The expected number of posts of the company each day is 2.6.

You can learn more about expected number of a discrete distribution at https://brainly.com/question/24855677

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