The American Community Survey is completed by the US Census Bureau to obtain information about households in the US. One variable of interest is how many people reside in each household (vacant households were recorded as having zero people). Based on data from 2014, here is the partially completed probability distribution of H, the number of people residing in a randomly selected US household:

H 0 1 2 3 4 5+
P(H) ? 0.24 0.30 0.14 0.11 0.09
Find the missing probability in the table

The missing probability is 0.12        

Step-by-step explanation:

We are given the following in the question:

  H:  0      1         2         3       4       5

P(H): x   0.24   0.30   0.14   0.11   0.09

Let x be the missing probability.

Property of discrete probability distribution:

Thus, the missing probability is 0.12

yx = 36

step-by-step explanation:

cos f = opposite side/ hypotenuse

cos f = yw / yx

we know cos f = 4/9 and yw =16

4/9 = 16/yx

multiply each side by yx

4/9 yx = 16/ yx * yx

4/9 yx = 16

multiply each side by 9/4

9/4 * 4/9 yx = 16 *9/4

yx = 36