Diagram 25 equals 2 + 6x
2 answers:
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Answer:
0.0177 = 1.77% probability that the first defect is caused by the seventh component tested.
The expected number of components tested before a defective component is found is 50, with a variance of 0.0208.
Step-by-step explanation:
Assume that the probability of a defective computer component is 0.02. Components are randomly selected. Find the probability that the first defect is caused by the seventh component tested.
First six not defective, each with 0.98 probability.
7th defective, with 0.02 probability. So
0.0177 = 1.77% probability that the first defect is caused by the seventh component tested.
Find the expected number and variance of the number of components tested before a defective component is found.
Inverse binomial distribution, with
Expected number before 1 defective(n = 1). So
Variance is:
The expected number of components tested before a defective component is found is 50, with a variance of 0.0208.
Option B: 5 is the value of f(3)
Explanation:
The equation of the piecewise function is given by
We need to find the value of
The value of the function f can be determined when by identifying in which interval does the value of
lie in the piecewise function.
Thus, lies in the interval
, the function f is given by
Substituting in the function
, we get,
Thus, the value of is 5.
Therefore, Option B is the correct answer.