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Question 2The probability of getting a multiple choice question wrong is 0.8. A weekly quiz has 10multiple choice questions. Assume independence between the questionsa)What is the probability of getting 5 questions correct?b)What is the probability of getting 5 questions wrong?c)What is the probability of getting at least 8 questions correct?d)What is the probability of getting more than 8 questions correct?e)What is the probability that you will get a zero in the quiz?

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Need help with part D and E for this question. 

Question 2
The probability of getting a multiple choice question wrong is 0.8. A weekly quiz has 10
multiple choice questions. Assume independence between the questions
a)
What is the probability of getting 5 questions correct?
b)
What is the probability of getting 5 questions wrong?
c)
What is the probability of getting at least 8 questions correct?
d)
What is the probability of getting more than 8 questions correct?
e)
What is the probability that you will get a zero in the quiz?
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Question 2 The probability of getting a multiple choice question wrong is 0.8. A weekly quiz has 10 multiple choice questions. Assume independence between the questions a) What is the probability of getting 5 questions correct? b) What is the probability of getting 5 questions wrong? c) What is the probability of getting at least 8 questions correct? d) What is the probability of getting more than 8 questions correct? e) What is the probability that you will get a zero in the quiz?

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Step 1

It is given that n =10.

Here, probability of getting question is wrong is 0.8. Therefore, the probability of getting question is correct is 0.2.

The probability mass function of binomial distribution is given below:

Р(х -х)- "С,р"(1 - р)"*
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Р(х -х)- "С,р"(1 - р)"*

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Step 2

d.

Here, p = 0.2.

The probability of getting more than 8 questions correct is obtained as follows:

Р(X >8) - Р(X -9) + P(X %310)
C(0.2(1-0.2)0"C, (0.2)" (1-0.2)0-40
10-9
+
10-10
10!
10!
(0.2)° (1)
9'(10 92) (0.8)* 10!(10-10)!
(८-न)
п!
"C,
r! (п-r)!
= 0.000000512
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Р(X >8) - Р(X -9) + P(X %310) C(0.2(1-0.2)0"C, (0.2)" (1-0.2)0-40 10-9 + 10-10 10! 10! (0.2)° (1) 9'(10 92) (0.8)* 10!(10-10)! (८-न) п! "C, r! (п-r)! = 0.000000512

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Step 3

Thus, the probability of getting more than 8 questions correct is 0.000000512.

e.

The ...

P(X 0)1"C,(0.2)(1-0.2)-
10-0
10!
(1)
o10-0 )(0.8)0
= 0.1074
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P(X 0)1"C,(0.2)(1-0.2)- 10-0 10! (1) o10-0 )(0.8)0 = 0.1074

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