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Assume that random guesses are made for 4 ​multiple-choice questions on a test with 5 choices for each​ question, so that there are nequals4 ​trials, each with probability of success​ (correct) given by p equals 0.20. Find the probability of no correct answers.

Respuesta :

Answer: There is a probability of no correct answers is 0.4096.

Step-by-step explanation:

Since we have given that

Number of trials = 4

Probability of success i.e. getting correct answer = 0.20

We need to find the probability of no correct answers.

We would use "Binomial distribution".

Let X be the number of correct answers.

So, it becomes,

[tex]P(X=0)=(1-0.20)^4=(0.80)^4=0.4096[/tex]

Hence, there is a probability of no correct answers is 0.4096.

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