(Solved) the random variable X = the number of vehicles owned. Find the probability that a person owns at least 2 vehicles. Round to two decimal places.

Question:-

The random variable X = the number of vehicles owned. Find the probability that a person owns at least 2 vehicles. Round to two decimal places.

Answer:-

It is asked to find probability that a person owns at least 2 vehicles.

It means we have to find P(X>=2).

Method 1:

P(X>=2) = P(X=2) + P(X=3) + P(X=4)

P(X>=2) = 0.25 + 0.2 + 0.1

P(X>=2) = 0.55

Method 2:

P(X>=2) = 1 – P(X<2)

P(X>=2) = 1 – {P(X=0) + P(X=1)}

P(X>=2) = 1 – {0.1 + 0.35}

P(X>=2) = 1 – 0.45

P(X>=2) = 0.55

So answer is 0.55

Hope this explanation will help you to solve your queries. Thank you!