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brainewashed11123
24.12.2019 •
Mathematics
Suppose that you are taking a t/f exam and you have no idea at all about the answers to the last three questions. you choose answers randomly and therefore have a 50/50 chance of being correct on any one question. 1) what is the probability that you guessed right on exactly one of the three questions? [a] 2) what is the probability that you guessed right on zero of the three questions? [b] 3) what is the probability that you guessed right on at least two of the questions? [c]
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Ответ:
0.375, 0.125, 0.5
Step-by-step explanation:
given that you are taking a T/F exam and you have no idea at all about the answers to the last three questions.
Probability for correct guess = 0.5 remains constant for each of the three questions
X - no of questions is binomial with n =3 and p = 0.5
1) the probability that you guessed right on exactly one of the three questions
= P(X=1)
=![3C1(0.5)^3 = 0.375](/tpl/images/0432/0362/ee0c5.png)
2) the probability that you guessed right on zero of the three questions
=![P(X=0)\\= 0.5^3=0.125](/tpl/images/0432/0362/e6eb6.png)
3) the probability that you guessed right on at least two of the questions
=![P(x=3)+P(2)\\= 1-0.5\\=0.5](/tpl/images/0432/0362/c3c5e.png)
Ответ:
Step-by-step explanation:
True because I do eat Mac and cheese