In a class, the probability that a student owns a laptop is 0.2. Find

urca3m403

urca3m403

Answered question

2021-11-16

In a class, the probability that a student owns a laptop is 0.2. Find the probability that the 5-th student to be interviewed owns a laptop.

Answer & Explanation

Befory

Befory

Beginner2021-11-17Added 19 answers

Step 1
The probability that a student owns a laptop is 0.2. Let X denotes the number of student to be interviewed owns a laptop. It is clear that the variable X follows geometric distribution with probability 0.2.
The probability formula for the geometric distribution is,
P(X=x)=p(1p)x1
In the formula, p is probability.
Step 2
The probability that the 5-th student to be interviewed owns a laptop is,
P(X=5)=0.2(10.2)51
=0.2×0.84
=0.2×0.4096
=0.0819
Thus, the probability that the 5-th student to be interviewed owns a laptop is 0.0819.

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