(1)
The probability that when a theft occurs, at least one of the 3
systems will detect it = 1 - P(All 3 fail)
= 1 - (1 - 0.82)3
= 1 - 0.183
= 1 - 0.005832
= 0.99417
So,
Answer is:
0.99417
(2)
From the given data, the following Table is calculated:
|
between the ages of 18 and 20 |
Not between the ages of 18 and 20 |
Total |
| Male |
0.32 |
0.26 |
0.58 |
| Female |
0.07 |
0.35 |
0.42 |
| Total |
0.39 |
0.61 |
1.00 |
P(Female OR between the ages of 18 and 20) = P(Female) + P(
between the ages of 18 and 20) - P(Female AND between the ages of
18 and 20)
= 0.42 + 0.39 - 0.07
= 0.74
So,
Answer is:
0.74
