Respuesta :
Answer:
(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:
[tex]P(\text{16 to 20})=\frac{151}{944}=0.159958\approx 0.16\\\\P(\text{21 to 24})=\frac{487}{944}=0.515890\approx 0.52\\\\P(\text{25 to 27})=\frac{244}{944}=0.258475\approx 0.26\\\\P(\text{28 or older})=\frac{62}{944}=0.065678\approx 0.06[/tex]
(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.
