Probability concepts and applications, assignment help

Probability concepts and applications, assignment help

2-3 Describe the various approaches used in determining probability values.

2-7 Describe the characteristics of a Bernoulli process. How is a Bernoulli process associated with the binomial distribution?

2-8 What is a random variable? What are the various types of random variables?

2-10 What is the expected value, and what does it measure? How is it computed for a discrete probability distribution?

2-11 What is the variance, and what does it measure? How is it computed for a discrete probability distribution?

2-35 Trowbridge Manufacturing produces cases for personal computers and other electronic equipment. The quality control inspector for this company believes that a particular process is out of control. Normally, only 5% of all cases are deemed defective due to discolorations. If 6 such cases are sampled, what is the probability that there will be 0 defective cases if the process is operating correctly? What is the probability that there will be exactly 1 defective case?

2-36 Refer to the Trowbridge Manufacturing example in Problem 2-35. The quality control inspection procedure is to select 6 items, and if there are 0 or 1 defective cases in the group of 6, the process is said to be in control. If the number of defects is more than 1, the process is out of control. Suppose that the true proportion of defective items is 0.15. What is the probability that there will be 0 or 1 defects in a sample of 6 if the true proportion of defects is 0.15?

2-37 An industrial oven used to cure sand cores for a factory manufacturing engine blocks for small cars is able to maintain fairly constant temperatures. The temperature range of the oven follows a normal distribution with a mean of 450°F and a standard deviation of 25°F. Leslie Larsen, president of the factory, is concerned about the large number of defective cores that have been produced in the past several months. If the oven gets hotter than 475°F, the core is defective. What is the probability that the oven will cause a core to be defective? What is the probability that the temperature of the oven will range from 460° to 470°F?