A consumer organization inspecting new cars found that many had appearance defects (dents, scratches, paint chips, etc.). While none had more than three of these defects, 9% had three, 15% had two, and 28% had one defect. Find the expected number of appearance defects in a new car and the standard deviation.
from given data :
| x | f(x) | xP(x) | x2P(x) |
| 0 | 0.4800 | 0.0000 | 0.0000 |
| 1 | 0.2800 | 0.2800 | 0.2800 |
| 2 | 0.1500 | 0.3000 | 0.6000 |
| 3 | 0.0900 | 0.2700 | 0.8100 |
| total | 0.8500 | 1.6900 | |
| E(x) =μ= | ΣxP(x) = | 0.8500 | |
| E(x2) = | Σx2P(x) = | 1.6900 | |
| Var(x)=σ2 = | E(x2)-(E(x))2= | 0.9675 | |
| std deviation= | σ= √σ2 = | 0.9836 |
from above
expected number of appearance defects =0.85
and standard deviation =0.9836
A consumer organization inspecting new cars found that many had appearance defects (dents, scratches, paint chips,...
A consumer organization inspecting new cars found that many had appearance defects (dents, scratches, paint chips, etc.). While none had more than three of thesedefects, 8% had three, 17% had two, and 27% had one defect. Find the expected number of appearance defects in a new car and the standard deviation. Compute the expected value of the number of appearance defects. E(appearance defects)equals=.85 (Round to two decimal places as needed.) Compute the standard deviation of the number of appearance defects....
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