It is known that a machine produces 3% of defective parts. We choose a piece at random to check if it has no defects. How is the variable X that is worth 1 distributed if the part is not defective and 0 if it is defective? What are your mean and variance?
It is known that a machine produces 3% of defective parts. We choose a piece at...
A machine produces defective parts with two different probabilities depending on its state of repair. If the machine is in good working order (G), it produces defective parts (D) with a 1% chance. If it needs maintenance, it produces defective parts with a 20% chance. The probability that the machine is in good working order is 90%. (a) What is the probability that the machine produces defective parts? Draw an appropriate tree diagram to answer this question. (b) If it...
Suppose machine 1 produces items that are independently defective with probability 0.01, machine 2 produces items that are independently defective with probability 0.02, and machine 3 produces items that are independently defective with probability 0.04. Suppose we purchase a box with 100 items in it, all of which were produced by the same machine. The box was produced by machine 1 with probability 0.5, by machine 2 with probability 0.3, and by machine 3 with probability 0.2. (a) Find the...
1. Daily production produces 50,000 balloons. It is known that theproduction process produces 0.004% defective balloons (i.e., the probability that a randomly selected balloon is defective is 0.00004). Whether one balloon is defective or not is independent of all other balloons. From one day’s production, estimate the chance of producing at least 3 defective balloons. 2. A shipment contains 100 I-Pods, 8 of which are defective. I sample 4I-Pods from the shipment of 100 I-Pods at random. Estimate the chance of...
1. Let the random variable X represent the number of defective parts for a machine when 3 parts are sampled from a production line and tested. The following is the probability distribution of X 0 1 T0.38 2 3 х 0.10 0.01 0.51 (a) Compute expected value of the random variable X c) ) S 0. the l (b) Compute standard deviation of the random variable X (c) If g(X) = 2X +3, what is the expected value of g(X)?...
A machine that manufactures automobile parts produces defective parts 13% of the time. If 10 parts produced by this machine are randomly selected, what is the probability that at least 2 of the parts are defective? Carry your intermediate computations to at least four decimal places, and round your answer to at least two decimal places.
Five percent (0.05) of the parts produced by a machine are defective. Twenty(20) parts are selected at random for study. A. what is the probability that more than 4 parts are defective? B. what is the probability that exactly 3 parts are defective? C. what is the expected number of defective parts in the sample? D. What is the variance and standard deviation of defective parts in the sample?
In a factory, machine A produces 60% of the daily output, and machine B produces 40% of the daily output. After quality control process, 2% of machine A's output is defective, and 3% of machine B's output is defective. If an item was inspected at random, 1- What is the probability that the item is defective? 2- What is the probability that the item was produced by machine A given that it was found defective?
1. Suppose that a factory makes machine parts, and the size of any of the machine parts X is normally distributed with mean = 8.3 inches and standard deviation o = 1.4 inches. a) What is the probability that a single random machine part is between 8.2 and 8.5 inches? b) Assume that the different parts made by the factory are independent, and all with the same normal distribution given above (we say they are 'i.i.d.'). If you randomly choose...
♡ Search this course ework When a new machine is functioning property, only 2% of the items produced are defective. Assume that we will randomly select two parts produced on the machine and that we are interested in the number of defective parts found. a. Using the Figure 5.3, select a tree diagram that shows this problem as a two-trial experiment. Here D: defective; G: not defective. O 1. Number Defective 1st part 2nd part Experimental Outcome ( DD) D...
A machine that manufactures automobile pistons is estimated to produce a defective piston 3% of the time. Suppose that this estimate is correct and that a random sample of 90 pistons produced by this machine is taken. a. Estimate the number of pistons in the sample that are defective by giving the mean of the relevant distribution (that is, the expectation of the relevant random variable). Do not round your response. b. Quantify the uncertainty of your estimate by giving...