The probability that exactly 6 are defective is 0.0792.
Given:
30% of the bulbs in a large box are defective.
If 12 bulbs are selected randomly from the box.
To find:
The probability that exactly 6 are defective.
Solution:
Probability of defective bulbs is:
Probability of non-defective bulbs is:
The probability that exactly 6 are defective is:
Therefore, the probability that exactly 6 are defective is 0.0792.
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Answer:
P(A) = {{a},{b},{c},{a,b},{a,c},{b,c},{a,b,c},∅}
Step-by-step explanation:
➨ Power Set is the set of all subsets.
First, find the subset of A.
{a},{b},{c},{a,b},{a,c},{b,c},{a,b,c},∅
If you aren't sure that you already have written all subsets or not, use the following formula.
➩ where n is the number of element/members.
Our number of members are 3, use the following formula.
Thus, our subsets should be 8.
As we've already gathered all subsets, write the braces all whole subsets.
P(A) = {{a},{b},{c},{a,b},{a,c},{b,c},{a,b,c},∅}