Question

The table below shows the ages of houses to the nearest year in a neighborhood. Using the age of the houses as the random variable, X, which graph shows the probability distribution, PX(x), of a randomly chosen house?
Age of House
Number of Houses
1
15
2
20
3
25
4
30
A probability distribution is shown. The probability of 1 is 0.16; 2 is 0.22; 3 is 0.28; 4 is 0.33.
A probability distribution is shown. The probability of 1 is 0.1; 2 is 0.2; 3 is 0.3; 4 is 0.4.
A probability distribution is shown. The probability of 1 is 0.65; 2 is 0.1; 3 is 0.12; 4 is 0.13.
A probability distribution is shown. The probability of 1 is 0.15; 2 is 0.2; 3 is 0.25; 4 is 0.3.

Answer 1

Answer:

The probability distribution of X is given by,

P(X = x)  $\simeq$   0.17    when x = 1

             $\simeq$   0.22   when x = 2

             $\simeq$  0.28    when x = 3

             $\simeq$  0.33    when x = 4

             = 0   otherwise

Step-by-step explanation:

According to the question, X is the random variable denoting age of a house to the nearest year in  a neighborhood.

From the given data we can construct the following table -

Age of house(X)          Frequency     Relative frequency

                                                            (Almost equal to)

1                                       15                     0.17

2                                      20                    0.22

3                                      25                    0.28

4                                      30                    0.33

So, the probability distribution of X is given by,

P(X = x)  $\simeq$   0.17    when x = 1

             $\simeq$   0.22   when x = 2

             $\simeq$  0.28    when x = 3

             $\simeq$  0.33    when x = 4

             = 0   otherwise

Answer 2

Answer:

Step-by-step explanation:

D on edge test