Question

TIL UUIU WILTU U VUI LUIU 13 UISLILI UI LUMINOUS. TUIUU PUIG + 13. Classify probability. Rolling a fair 6-sided die. The probability of getting "4". (ans: classical) - 14. A test consists of 10 questions of 5-choices. To pass the test a student must answer at least seven questions correc the student guesses on each question, what is the probability that the student will pass the test?
please help solve #14.

Answer 1

Answer 14

The question can be modeled as a binomial distribution.

Let X be the number of correct answers. Then

X ~ Binomial(10,0.2)

P(X = 1) = (29) + 0.2+0,310-3

We need to calculate so that student passes

P(X>7)

P(X > 7) = P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)

+ P(X > 7) = 0.0007864 + 0.0000737 +0.0000041 +0.0000001

+ P(X > 7) = 0.0008644

Calculations

X	P(X=x)
0	0.1073742
1	0.2684355
2	0.3019899
3	0.2013266
4	0.0880804
5	0.0264241
6	0.0055050
7	0.0007864
8	0.0000737
9	0.0000041
10	0.0000001

Binomial Graph 0.3500000 0.3000000 0.2500000 0.2000000 Probability P(X=x) 0.1500000 0.1000000 0.0500000 0.0000000 9 10

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