Answer:
<em>The answer is (B).</em>
Step-by-step explanation:
A). y = f(x) = 6(x - 2) + 3 ⇔ y = 6x - 12 + 3 ⇔ 6x = y + 9 ⇔ x =
g(x) = is inverse function of f(x) and ≠
- 3
<em>B).</em> y = f(x) = - 3 ⇔ 4y = 5x - 12 ⇔ x =
g(x) = is inverse of f(x)
Answer:
The probability that none of the LED light bulbs are defective is 0.7374.
Step-by-step explanation:
The complete question is:
What is the probability that none of the LED light bulbs are defective?
Solution:
Let the random variable <em>X</em> represent the number of defective LED light bulbs.
The probability of a LED light bulb being defective is, P (X) = <em>p</em> = 0.03.
A random sample of <em>n</em> = 10 LED light bulbs is selected.
The event of a specific LED light bulb being defective is independent of the other bulbs.
The random variable <em>X</em> thus follows a Binomial distribution with parameters <em>n</em> = 10 and <em>p</em> = 0.03.
The probability mass function of <em>X</em> is:
Compute the probability that none of the LED light bulbs are defective as follows:
Thus, the probability that none of the LED light bulbs are defective is 0.7374.