Afew years ago, a survey commissioned by the world almanac and maturity news service reported that 51% of the respondents did not believe the social security system will be secure in 20 years. of the respondents who were age 45 or older, 70% believed the system will be secure in 20 years. of the people surveyed, 57% were under age 45. one respondent is selected randomly. construct a probability matrix for this problem.

Age    |    Believe   |   Not believe  |   Total

<45     |    0.148      |        0.422       |   0.570

>45     |    0.301      |        0.129        |   0.430

Step-by-step explanation:

We have to construct a probability matrix for this problem.

Of the people surveyed, 57% were under age 45. That means that 43% is over age 45.

70% of the ones who were 45 or older, believe the Social Security system will be secure in 20 years.

The Believe proportion is 51%.

Then, the proportion that believe and are under age 45 is:

We can now construct the probability matrix for one respondant selected randomly:

Age    |    Believe   |   Not believe  |   Total

<45     |    0.148      |        0.422       |   0.570

>45     |    0.301      |        0.129        |   0.430

correct answer:

i^31 = -i