A baseball park has determined that the number of people contained in each vehicle parked in one of their lots has following distribution.
Number of People 1 2 3 4 more than 4
Probability 0.20 0.35 0.25 0.10 ?
a) What is the probability that more than 4 people arrive in a vehicle?

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.

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the data of the detroit pistons in numerical order from least to greatest is 0.30, 0.37, 0.55, 0.62, 0.69, 0.72, 0.73, 0.75, 0.77, 0.78, 0.80, 0.81, 0.81, 0.83, 0.84, 0.89

the data of the miami heat in numerical order from least to greatest is 0.50, 0.50, 0.56, 0.57, 0.67, 0.72, 0.72, 0.72, 0.75, 0.75, 0.76, 0.81, 0.82, 0.90, 1.00, 1.00

the detroit pistons median : 1.52

the miami heat median: 1.47

the iqr of this data is 0.05