# Question: Modern assembly relies on parts built to specifications spec so

Modern assembly relies on parts built to specifications (spec) so that the components ft together to make the whole. An appliance requires two components, Type A and Type B, supplied by different manufacturers. A robot randomly selects a component from a batch of Type A components and a second component from a batch of Type B components. The appliance works only if both components are within specifications. It is known that 5% of Type A components and 10% of Type B components are out of specifications.

(a) What is the probability that the appliance produced by the robot selecting one component from each batch at random works? State any assumptions clearly.

(b) The robot tests the appliance as it is assembled. It discovers that the current applicance does not work because the parts are not compatible. What is the probability that component that is out of spec is the Type A component?

(a) What is the probability that the appliance produced by the robot selecting one component from each batch at random works? State any assumptions clearly.

(b) The robot tests the appliance as it is assembled. It discovers that the current applicance does not work because the parts are not compatible. What is the probability that component that is out of spec is the Type A component?

## Relevant Questions

The following table gives the percentages of men and women 20 years and older employed in various occupations in the U.S. workforce in 2010, from the Current Population Survey. Each column sums to 100%. There are about 70 ...Suppose that 10% of the clerical staff in an office smoke cigarettes. Research shows that 60% of smokers and 15% of nonsmokers suffer a breathing illness by age 65. (a) Do these percentages indicate that smoking and this ...The lower quartile of a random variable X is the smallest q so that P(X ≤ q) ≥ 0.25. (This is analogous to the lower edge of the box in the boxplot.) What’s the lower quartile of X? Imagine that the investor in Exercise 37 invests $10,000 for one month in a company whose stock either goes up by 80% after a month with probability 1>2 or drops 60% with probability 1 > 2. After one month, the investor ...An insurance salesman visits up to three clients each day, hoping to sell a new policy. He stops for the day once he makes a sale. Each client independently decides whether to buy a policy; 10% of clients purchase the ...Post your question