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The probability that a college student uses Twitter for social networking is 0.92 if 9 students are chosen at random use the binomial probability formula to find the probability that more than 7 use Twitter

Answer :

frika

Answer:

0.8417

Step-by-step explanation:

The probability that a college student uses Twitter for social networking is [tex]p=0.92,[/tex] then the probability that a college student does not use Twitter for social networking is [tex]q=1-p=1-0.92=0.08.[/tex]

9 students are chosen at random.

Use the binomial probability formula to find the probability that 8 use Twitter:

[tex]C^9_8p^8q^{9-8}=9\cdot (0.92)^8\cdot (0.08)^1\approx 0.3695[/tex]

Use the binomial probability formula to find the probability that 9 use Twitter:

[tex]C^9_9p^9q^{9-9}=1\cdot (0.92)^9\cdot (0.08)^0\approx 0.4722[/tex]

The probability that more than 7 students use Twitter is

[tex]0.3695+0.4722=0.8417[/tex]

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