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Aleksandr-060686 [28]
2 years ago
10

The probability distribution function for the discrete random variable where x is equal to the number of red lights drivers typi

cally run in a year is as follows. x 0 1 2 3 p(x) 0.76 0.15 0.05 (a) Fill in the missing probability. x 0 1 2 3 p(x) 0.76 0.15 0.05 (b) What is the mean of this discrete random variable
Mathematics
1 answer:
Ivahew [28]2 years ago
7 0

Using probability concepts, it is found that:

a) The missing value is 0.04.

b) The mean is of 0.37.

The distribution is given by:

P(X = 0) = 0.76

P(X = 1) = 0.15

P(X = 2) = 0.05

P(X = 3) = x

Item a:

The sum of <u>all the probabilities has to be 1</u>, that is:

\sum_{i = 0}^{3} P(X = i) = 1

Thus:

0.76 + 0.15 + 0.05 + x = 1

0.96 + x = 1

x = 0.04

The missing value is 0.04.

Item b:

The mean is given by the <u>sum of each outcome multiplied by it's probability</u>, thus:

E(X) = 0(0.76) + 1(0.15) + 2(0.05) + 3(0.04) = 0.37

The mean is of 0.37.

A similar problem is given at brainly.com/question/20709747

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