The random variable X = the number of vehicles owned. Find the expected number of vehicles owned. Round answer to two decimal places.

Respuesta :

Answer:

The expected number of vehicles owned to two decimal places is: 1.85.

Step-by-step explanation:

The table to the question is attached.

[tex]E(X) =[/tex]∑[tex]xp(x)[/tex]

Where:

E(X) = expected number of vehicles owned

∑ = Summation

x = number of vehicle owned

p(x) = probability of the vehicle owned

[tex]E(X) = (0 * 0.1) + (1 * 0.35) + (2 * 0.25) + (3 * 0.2) + (4 * 0.1)\\E(X) = 0 + 0.35 + 0.50 + 0.60 + 0.4\\E(X) = 1.85[/tex]

The expected number of vehicles owned is 1.85.

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