Probability Distribution

Front

Is this a probability distribution?

Back

No, the sum of p(x) does not equal 1.

Front

Given the probability model in the table below, what is the expected value of the random variable?
  X        50          20        5
P(X)     0.1         0.3      0.6

Back

14

Front

Find the mean (expected value) of the probability distribution.

Back

84.4

Front

What is the expected number of cars for a randomly chosen American household?

Back

1.75

Front

In a certain community, 30% of households have 1 child, 43% have 2 children, and 27% have 3 children. If a household is selected at random, what is the expected number of children in that household?

Back

The expected number of children is calculated as follows: (0.30 * 1) + (0.43 * 2) + (0.27 * 3) = 1.97.

Front

The table above shows a television station's advertisement sales. The distribution of sales for one 24-hour day is given. Solve for the mean. Round to the nearest hundredth.

Back

31.8