40% of lightbulb produced by shining beauty company have suboptimal performance. 5 bulbs are chosen for test. find the probabili
ty that 2 bulbs or less have suboptimal perfor-mance. (b) 40% of lightbulb produced by shining beauty company have suboptimal performance. 500 bulbs are chosen for test. compute approximately the probability that 210 bulbs or less have suboptimal performance. (c) 0.4% of lightbulb produced by light company have suboptimal performance. 500 bulbs are chosen for test. compute approximately the probability that 2 bulbs or less have subopti-mal performance
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Answer:
The remainder is -2.
Step-by-step explanation:
According to the Polynomial Remainder Theorem, if we divide a polynomial P(x) by a binomial (<em>x</em> - <em>a</em>), then the remainder of the operation will be given by P(a).
Our polynomial is:
And we want to find the remainder when it's divided by the binomial:
We can rewrite our divisor as (<em>x</em> - (-1)). Hence, <em>a</em> = -1.
Then by the PRT, the remainder will be:
The remainder is -2.