3.23 Good Chips versus Lemons
A chip supplier produces 95% good chips and 5% lemons. The good chips fail with probability 0.0001 each day. The lemons fail with probability 0.01 each day. You buy a random chip. Let T be the time until your chip fails. Compute E [T] and Var(T).
3.23 Good Chips versus Lemons A chip supplier produces 95% good chips and 5% lemons. The...
A manufacturing plant produces memory chips to be used in cardiac pacemakers. The manufacturing process produces a mix of "good" chips and "bad" chips. The lifetime of good chips follows an exponential law with a rate of failure a, that is: P[chip still functioning after time t]-e-t The lifetime of bad chips also follows an exponential law, but with a much faster failure rate of 500*a. a. Suppose the fraction of bad chips in a typical batch is χ. What...
11. Computer chips from a certain supplier have a 7% chance of containing defect. Suppose that we continue to test chips from this manufacturer until we find 10 that have no defects. Let X be the number of defective chips that we have found at the time of the 10th good chip. Find P(X = 5) a manufacturing (b) .001957 (c) .0016285 (d) 1.3742 x 10-16 (e).0023761 (a) 1.4732 x 10-4
(4.) Suppose you are running a manufacturing plant building computer chips for smart phones. You supply K chips per day to your customer. The manufacturing process is not perfect, however, and with probability p each chip produced is faulty (the state of all chips are mutually independent). Unfortunately it is not known whether a chip is faulty until the customer assembles it into a phone. As a result, you must reimburse the customer Sr for each faulty chip. Suppose that...
Q7). Let y,,y.., y represent the life time for the computer chips that are exponentially distributed with pdf e^ for else (a). Derive the likelihood ratio test for testing Ho: λ A, versus Ha: λ> λ (b). If a random sample of life times for the computer chips are 4 years, 5 years, 7 years, 6 years, 7 years, Use α-005 does this sample support the fact that λ > 4.5 years ?. 4.6, 4.7, 4.8, 4.9, 5.0 Compute the...
Students investigating the packaging of potato chips purchased 0 bags of chips marked with a net weight of 20.5 grame. They carefully weighed the contents of each bag, recording the following weights in gramas: 20.2.2.1, 29.1, 288, 28.8. Click the boon to wow the table Do the data willy the sumptions for interence? Is the randomization condition satufet? OA Yes, there is definitely evidence to believe that the bags of chips were sampled at random O No, the bags were...
Have to show work for every problem
4. A company uses three plants to produce a new computer chip. Plant A produces 30% of the chips. Plant B produces 45% of the chips. The rest of the chips are produced by plant C. Each plant has its own defectiv rate. These are: plant A produces 3% defective chips, plant B produces 1% defective chips, plant C produces 5% defective chips. Hint: draw a tree diagram. (a) Construct a tree diagram...
1. Suppose that random variables X and Y are independent and have the following properties: E(X) = 5, Var(X) = 2, E(Y ) = −2, E(Y 2) = 7. Compute the following. (a) E(X + Y ). (b) Var(2X − 3Y ) (c) E(X2 + 5) (d) The standard deviation of Y . 2. Consider the following data set: �x = {90, 88, 93, 87, 85, 95, 92} (a) Compute x¯. (b) Compute the standard deviation of this set. 3....
ONLY NEED H, I, J, K, L, M
1. (65 points: 5 points each) For each situation below, what is the most appropriate probability model for the random variable X? (no n a) Let X - how many customers will buy a sofa tomorrow at Wolf's furniture store. b) In a program that provides free home inspections for seniors, let X- how many homes eed to specify parameter values) are inspected before one needs a new roof. c) Let X...
Unable to correct errors from my MatLab Script and would like to see a script to compare mine to. Write a MatLab script that simulates a virus spread. This problem needs the following parts, some of which are nested loops, ie Part 3, 4 and 5 are nested in Part 2’s loop (for or while): To build the program first to only deal with infection transmission within the town’s neighbors An array which for every person in the town which...
A manufacturer produces 25-pound lifting weights. The lowest actual weight is 24 pounds, and the highest is 26 pounds. Each weight is equally likely so the distribution of weights is uniform. A sample of 100 weights is taken. a. What is the distribution for the weights of one 25-pound lifting weight? What is the mean and standard deviation? b. What is the distribution for the mean weight of 100 25-pound lifting weights? c. Find the probability that the mean actual...