An electronic product contains 53 integrated circuits. The probability that any integrated circuit is defective is 0.02, and the
1 answer:
Answer: Hello!
Here you have 53 integrated circuits, each with a probability of 0.02 of being defective.
If only one of them is defective, then the electronic product doesnt work.
Then we need the calculate the probability in wich all the 53 circuits arent defective.
the probability for each one to not be defective is 1 - 0.02 = 0.98
And if i want to see the probability for all of them to work fine, then i need to do the product of all the probabilities, this is multiply 0.98 53 times, or:
rounding to the four decimal place, we have: 0.3428
Wich is a kinda small probability for our product to work.
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Part A
If 4 candidates were to be selected regardless of gender, that means that 4 candidates is to be selected from 12.
The number of possible selections of 4 candidates from 12 is given by
Therefore, the number of <span>selections of 4 candidates regardless of gender is 495.
Part B:
</span>
<span>If 4 candidates were to be selected such that 2 women must be selected, that means that 2 men candidates is to be selected from 8 and 2 women candidates is to be selected from 4.
The number of possible selections of </span><span>2 men candidates from 8 and 2 women candidates from 4 is given by
</span><span>
Therefore, the number of selections of 4 candidates </span><span>such that 2 women must be selected is 168.</span>
Part 3:
If 4 candidates were to be selected such that at least 2 women must be selected, that means that 2 men candidates is to be selected from 8 and 2 women candidates is to be selected from 4 or 1 man candidates is to be selected from 8 and 3 women candidates is to be selected from 4 of <span>no man candidates is to be selected from 8 and 4 women candidates is to be selected from 4.
The number of possible selections of </span>2 men candidates from 8 and 2 women candidates from 4 of <span>1 man candidates from 8 and 3 women candidates from 4 of no man candidates from 8 and 4 women candidates from 4 is given by
</span><span>
Therefore, the number of selections of 4 candidates </span><span>such that at least 2 women must be selected is 201.</span>
If 4 candidates were to be selected regardless of gender, that means that 4 candidates is to be selected from 12.
The number of possible selections of 4 candidates from 12 is given by
Therefore, the number of <span>selections of 4 candidates regardless of gender is 495.
Part B:
</span>
<span>If 4 candidates were to be selected such that 2 women must be selected, that means that 2 men candidates is to be selected from 8 and 2 women candidates is to be selected from 4.
The number of possible selections of </span><span>2 men candidates from 8 and 2 women candidates from 4 is given by
</span><span>
Therefore, the number of selections of 4 candidates </span><span>such that 2 women must be selected is 168.</span>
Part 3:
If 4 candidates were to be selected such that at least 2 women must be selected, that means that 2 men candidates is to be selected from 8 and 2 women candidates is to be selected from 4 or 1 man candidates is to be selected from 8 and 3 women candidates is to be selected from 4 of <span>no man candidates is to be selected from 8 and 4 women candidates is to be selected from 4.
The number of possible selections of </span>2 men candidates from 8 and 2 women candidates from 4 of <span>1 man candidates from 8 and 3 women candidates from 4 of no man candidates from 8 and 4 women candidates from 4 is given by
</span><span>
Therefore, the number of selections of 4 candidates </span><span>such that at least 2 women must be selected is 201.</span>