According to the most recent adult demographic census of Ohio, 25% of residents are 18 to...
According to the most recent adult demographic census of Ohio, 25% of residents are 18 to 29 years old, 48% are between 30 and 49 years old, and 27% are 50 and older. (Age brackets A1, A2, and A3 respectively.) Of those who are in the A1 age bracket, 9% use E-Harmony; of those in A2, 22% use E-Harmony; and of those in A3, 48% use E-Harmony.
(Round your answers to 4 decimal places.)
Compute the joint probabilities where E = an individual uses E-Harmony
Note: It will be helpful to use a probability tree.
| P(A1∩E)P(A1∩E) | |
| P(A1∩E¯¯¯)P(A1∩E¯) | |
| P(A2∩E)P(A2∩E) | |
| P(A2∩E¯¯¯)P(A2∩E¯) | |
| P(A3∩E)P(A3∩E) | |
| P(A3∩E¯¯¯)P(A3∩E¯) |
a) What proportion of residents use E-Harmony?
b) You receive a message from an individual using E-Harmony expressing interest. What is the probability that the individual is 50 years or older?
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