Answer:
0.1558
Step-by-step explanation:
To solve this problem we are going to use the Binomial distribution.
The probability of guessing correctly is: 1/5 = 0.20.
Therefore the probability of guessing incorrectly is: 1 - 1/5 = 0.80.
The total number of trials is 35 (because the test has 35 questions)
And we're looking for 6 successes and 29 failures.
The problem asks us what is the probability that the student gets 6 questions correct. This would be:
[tex]P(6)= C_{35|6}(0.20)^{6}(0.80)^{29}\\P(6)=1623160(0.000064)(0.0015)\\P(6)=0.1558[/tex]
Thus, the probability of getting 6 questions correct is 0.1558
