Junior Achievement USA and the Allstate Foundation surveyed teenagers aged 14 to 18 and asked at what age they think they will become financially independent. The responses of 944 teenagers who answered this survey question as follows: Age Financially Independent Number of Responses
16 to 20 151
21 to 24 487
25 to 27 244
28 or older 62

Consider the experiment of randomly selecting a teenager from the population of teenagers aged to 14 to 18.

Required:
a. Compute the probability of being financially independent for each of the four age categories.
b. What is the probability of being financially independent before the age of 25?
c. What is the probability of being financially independent after the age of 24?

(a) Shown below

(b) 0.68

(c) 0.32

Step-by-step explanation:

The frequency distribution is:

Age Group         Financially Independent Number of Responses

  16 to 20                                                  151

  21 to 24                                                 487

  25 to 27                                                244

28 or older                                               62

    Total                                                    944

(a)

Compute the probability of being financially independent for each of the four age categories as follows:

(b)

Compute the probability of being financially independent before the age of 25 as follows:

P (Financially Independent before 25) = P (16 to 20) + P (21 to 24)

                                                               = 0.16 + 0.52

                                                               = 0.68

Thus, the probability of being financially independent before the age of 25 is 0.68

(c)

Compute the probability of being financially independent after the age of 24 as follows:

P (Financially Independent after 24) = P (25 to 27) + P (28 or older)

                                                               = 0.26 + 0.06

                                                               = 0.32

Thus, the probability of being financially independent after the age of 24 is 0.32.

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.  

a 270° rotation about point p says on e d g e n u it y (had to space it out because it says it's a misspelling so i couldn't submit it