The required probability for
a. 0.2058
b. 0.98
c.0.016
<h3>
What is probability?</h3>
Probability can be defined as the ration of favorable outcomes to the total number of events.
Let use binomial distribution.
Probability answering a question correctly=1/3 =0.33
Probability of not answering a question correctly
=1–1/3
=2/3
a) Out of 10 probability of answering 4 correctly
=10c4 x (0.33)^4 x (0.66)^6
Upon simplification, 0.2058
b) Find the probability for getting at least 2 correct answers
= 1 - { 10c8 x (0.33)^8 x (0.66)^2+ 10c9 x (0.33)^9 x (0.66)^1 + (0.33)^10}
= 0.98
c).Find the probability for getting 2 or 3 incorrect answers.
10c8 x (0.33)^8 x (0.66)^2 + 10c7 x (0.33)^7 X (0.66)^3
=0.002 + 0.014
= 0.016
Thus the required probabilities are: 0.2058, 0.98 , 0.016
Learn more about probability here:
brainly.com/question/14290572
#SPJ1
