Answer:
Pr(No. of people > 4) = 0.10
Step-by-step explanation:
The vehicle parking has the following probability distribution
Number of People 1 2 3 4 more than 4
Probability 0.20 0.35 0.25 0.10 ?
We want to find out the probability of number of people more than 4
No.of people = 1 -> Pr(1) = 0.20
No.of people = 2 -> Pr(2) = 0.35
No.of people = 3 -> Pr(3) = 0.25
No.of people = 3 -> Pr(4) = 0.10
Pr(No. of people > 4) = ?
We know that the sum of probabilities must be equal to 1
Pr(No. of people > 4) = 1 - Pr(1) - Pr(2) - Pr(3) - Pr(4)
Pr(No. of people > 4) = 1 - 0.20 - 0.35 - 0.25 - 0.10
Pr(No. of people > 4) = 1 - 0.90
Pr(No. of people > 4) = 0.10
Therefore, the probability that more than 4 people arrive in a vehicle is 0.10.
