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On an average, 45% of the students in a college take a computer course. Estimate the probability that at least 6 of the next 10 students will take a computer course.

Sagot :

MrRoyal

The probability of taking the computer course is an illustration of a binomial probability

The probability that at least 6 of the next 10 students will take a computer course is 0.2616

How to determine the probability?

The given parameters are:

n = 10

x = At least 6 i.e. 6, 7, 8, 9 and 10

p = 45%

A binomial probability is represented as:

[tex]P(x) = ^nC_x * p^x * (1 - p)^{n - x}[/tex]

So, we have:

[tex]P(x \ge 6) = P(6) + P(7) + P(8) + P(9) + P(10)[/tex]

Using the above formula, the equation becomes

[tex]P(x \ge 6) = 0.1596 + 0.0746 +0.0229 + 0.0042 +0.0003[/tex]

[tex]P(x \ge 6) = 0.2616[/tex]

Hence, the probability that at least 6 of the next 10 students will take a computer course is 0.2616

Read more about probability at:

https://brainly.com/question/25870256

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