Question 6: A shipment of 10 cameras includes 3 that are defectives. b. Let Y be...
Please only answer if you are confident that the answer is actually correct, I asked this question before but got the wrong answer thank you. University Level Answer. Question 6: A shipment of 10 cameras includes 3 that are defectives. a. 4 cameras from the shipment were randomly selected without replacement and tested. Let X be the number of defectives selected. Find P(X-2). b. Let Y be the number of cameras from the shipment were randomly selected without replacement and...
7.30 A quality-control inspector rejects any shipment of printed circuit boards whenever 3 or more defectives are found in a sample of 100 boards tested. Find the (1) expected number defective and (2) the probability of rejecting the shipment when the proportion of defectives in the entire shipment is (a) Proportion of Defectives-0.01 Expected Number Defective- Probability of Rejecting the Shipment (b) Proportion of Defectives-0.05 Expected Number Defective- Probability of Rejecting the Shipment- (c) Proportion of Defectives 0.1 Expected Number...
Problem 8 A large box of fuses contains 10% defectives. Four fuses are randomly selected from the box. Find: a) Probability that exactly one fuse is defective b) Probability that at least one fuse of the four selected is defective Now suppose these four sampled fuses are shipped to a customer before being tested. Assume the cost of fixing' a shipment with defective fuses is given by C- 3Y2 where Y is the number of defectives in the shipment of...
3. (3 pts) A certain large shipment comes with a guarantee that it contains no more than 15% defective items. If the proportion of defective items in the shipment is greater than 15%, the shipment may be returned. You draw a random sample of 10 items. Let X be the number of defective items in the sample. If in fact 15% of the items in the shipment are defective (so that the shipment is good, but just barely), what is...
1.) Suppose that a box contains 8 cameras and that 3 of them are defective. A sample of 2 cameras is selected at random. Define the random variable X as the number of defective cameras in the sample. Hint: Make a probability tree for selecting 2 cameras without replacement. Write the probability distribution for X. k P(X=k) What is the expected value of X? 2.) Assume that a procedure yields a binomial distribution with a trial repeated n=5n=5 times. Find...
There is a box of 20 marbles. Of these marbles, 6 are red, 8 are green and 6 are blue. 6 marbles are randomly selected from the box without replacement. Let X be the number of marbles that are red or blue, and let Y be the number of marbles that are blue. a. What is the probability the first and second marbles are red, the third and fourth are blue and the fifth and sixth are green? b. What...
probability, show all work 7. Let 3 cards be taken at random and without replacement from an ordinary deck of cards. Let X be the number of spades and Y be the number of hearts. Find (1) pmf of X (2) Joint pmf of X and Y. (3) P(X 2,Y 1). (10 Points)
Question 1 [12 + 4 =16 marks] A. Let A and B be two events such that P( A) 0.6 , P(B) 0.4 and P( A B) 0.10. Calculate P( A B). Calculate P( A | B). iii. Are events A and B independent? Justify your answer. iv. Are events A and B mutually exclusive events? Justify your answer. (2 + 2 + 3 + 3 = 10 marks) B. A box contains 20 DVDs,...
A stockroom currently has 30 components of a certain type, of which 8 were provided by supplier 1, 10 by supplier 2, and 12 by supplier 3. Six of these are to be randomly selected for a particular assembly. Let X= the number of supplier 1's components selected, Y= the number of supplier 2's components selected, and p(x, y) denote the joint pmf of X and Y.a. What is p(3, 2)? [Hint: Each sample of size 6 is equally likely...
Problem 3 Roll a die until we get a 6. Let X be the total number of rolls and Y the number of l's we get. (a) Find Etx Y k (b) Find EY Problem 3 Roll a die until we get a 6. Let X be the total number of rolls and Y the number of l's we get. (a) Find Etx Y k (b) Find EY