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torisob [31]
3 years ago
7

Appreciate answers and any help!

Mathematics
1 answer:
Savatey [412]3 years ago
4 0

To find the expected value of the distribution, we multiply each outcome by it's probability. Doing this, we get that the expected value of defects on a skateboard is of \frac{4}{25}.

Outcomes and probabilities:

0 defects, 9/10 probability

1 defect, 1/20 probability

2 defects, 1/25 probability

3 defects, 1/100 probability.

Expected value:

E(X) = 0\frac{9}{10} + \frac{1}{20} + 2\frac{1}{25} + 3\frac{1}{100} = \frac{1}{20} + \frac{2}{25} + \frac{3}{100} = \frac{5 + 8 + 3}{100} = \frac{16}{100}

Dividing both numerator and denominator by 4:

\frac{4}{25}

Thus, the expected value of defects on a skateboard is of \frac{4}{25}.

A similar problem is given at: brainly.com/question/23156292.

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