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Suppose students are independent from one another. 63% of students are using Mr. Martin's new social media app, Mar-tin-stagram. 2 students are randomly selected. What is the probability that both of them use it? (Write answer as a decimal. Do not round)

Respuesta :

Answer:

[tex]P(X=2) =0.3906[/tex]

Step-by-step explanation:

Proportion of students using the app, p = 63/100 = 0.63

Proportion of students not using the app, q = 1 - 0.63 = 0.37

Sample size, n = 2

Probability that the two students are using the app.

[tex]P(X = r) = nCr p^{n} q^{n-r} \\P(X = 2) = 2C2 *0.63^{2} *0.37^{2-2}\\P(X = 2) = 2C2 *0.63^{2} *0.37^{0}\\P(X=2) = 0.63^{2} \\P(X=2) =0.3906[/tex]

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