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.
