There is a 40% probability that a student PASSES their first statistics exam. Using a Binomial Distribution, if we randomly sele

Question

Fiesta28 [93]

2 years ago

5

There is a 40% probability that a student PASSES their first statistics exam. Using a Binomial Distribution, if we randomly sele

ct 7 students: What is the probability that more than 5 PASS their first statistics exam

Mathematics

1 answer:

melamori03 [73] · Answer 1 · 2023-09-20T23:48:39+03:00

The probability that more than 5 students will pass their exam is 0.0188416.

<h3>How to find the probability?</h3>

The probability that a student passes their examination = 40% = 0.4

The probability that more than 5 students pass their statistics exam = Probability that 6 students pass their exam + Probability that 7 students pass their exam

The probability that 6 students pass their exam =

$7C_{6} (0.4)^{6} (0.6)^{1}\\=7(0.4)^6(0.6)\\=0.0172032$

The probability that 7 students pass their exam =

$7C_{7} (0.4)^{7} (0.6)^{0}\\=(0.4)^7\\=0.0016384$

The probability that more than 5 students pass their statistics exam = 0.0172032 + 0.0016384

= 0.0188416

Therefore, we have found the probability that more than 5 students will pass their exam to be 0.0188416.

Learn more about probability here: brainly.com/question/24756209

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