Using the binomial distribution, it is found that the variance of the number that pass inspection in one day is 5.7.
For each component, there are only two possible outcomes, either it passes inspection, or it does not. The probability of a component passing inspections is independent of any other component, hence, the binomial distribution is used to solve this question.
Binomial probability distribution
Probability of <u>exactly x successes on n repeated trials, with p probability</u>, and has variance given by:

In this problem:
- 95% pass final inspection, hence

- 120 components are inspected in one day, hence
.
The variance is given by:

The variance of the number that pass inspection in one day is 5.7.
To learn more about the binomial distribution, you can take a look at brainly.com/question/24863377
Answer:
no solutions
Step-by-step explanation:
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Answer:
- D. They are similar by the definition of similarity in terms of a dilation.
Step-by-step explanation:
<em>Refer to attached</em>
The points are plotted and connected to make triangles
As per the diagram, the triangles are similar, each side of ABC is reduced twice to make the corresponding sides of DEF, so the scale factor is 1/2.
<u>Correct choice is D</u>
- They are similar by the definition of similarity in terms of a dilation.