E(X5)=r/p =5/0.2 =25
V(X5)=r*(1-p)/p2 =100
E(X5|X1=4)=4+4/0.2=24
V(X5|X1=4)=4*(1-0.2)/(0.2)2 =80
20% of the items on a production line are defective. Randomly insptect items, and let X1...
4.14 points] If a production line has a 20% defective rate. What is the mean and variance of number of inspections to obtain the fifth defective?
Items are examined sequentially at a manufacturing plant. The probability that an item is defective is 0.05. (a) What is the probability that the first 20 items examined are not defective? (b) What is the expected number of examined items until we get the fifth defective?
A production facility contains two machines that are used to rework items that are initially defective. Let X be the number of hours that the first machine is in use, and let Ybe the number of hours that the second machine is in use, on a randomly chosen day. Assume that X and Yhave joint probability density function given by 3. f(x)-| (x2 + y*) 0<x<1and 0 < y < 1 0 otherwise f. Find the conditional expectation E( 0.5)....
Number 12 9. In a production process, one fifth of the items fabricated are defective. Ten items from the production line are randomly selected and inspected. Let X be the number of defective articles in this sample. If the distribution of X is Bin(n,p), what are the values of n and p? 10. of the random variable X is given. What is the mean of the distribution? 11. What is of the distribution? 12, X is a random normal normal...
A production facility contains two machines that are used to rework items that are initially defective. Let X be the number of hours that the first machine is in use, and let y be the number of hours that the second machine is in use, on a randomly chosen day. Assume that X and Y have joint probability density function given as follows 0<x<1, 0<y<2 otherwise a) The probability P0.1<x<0.3) Dj The probability that the second machine usage time is...
Suppose that 8% of products on a production line are defective. An inspector randomly selects these products one at a time until he finds a defective product. There are two parts to this problem. a. What is the probability that at least 12 products must be inspected in order to find the first defective product? Start this part of the problem by stating what X is in words and giving its complete distribution (i.e., write "X = ____" and "X...
Suppose 20% of the engines manufactured on a certain assembly line are defective. If engines are randomly selected one at a time and tested. a. Find the probability that first defective engine is found on the third trial. b. Find the mean and variance of the number of the trial on which the first defective engines is found.
A lot of 108 semiconductor chips contains 20 that are defective. Two are selected randomly, without replacement, from the lot. Round your answers to three decimal places (e.g. 98.765) a) What is the probability that the first one selected is defective? b) What is the probability that the second one selected is defective given that the first one was defective? c) What is the probability that both are defective? d) How does the answer to part (b) change (give the...
As items come to the end of a production line, an inspector chooses which items are to go through a complete inspection. Twenty percent of all items produced are defective. Seventy percent of all defective items go through a complete inspection, and 25% of all good items go through a complete inspection. Given that an item is completely inspected, what is the probability it is defective? (Round your answer to four decimal places.) 14. [-18 Points) DETAILS WACKERLYSTAT7 2.E.175. MY...
When 2 defective items are extracted one by one in a partition consisting of 6 products and checked, Let X be the number of tests before finding the last defective item find the probability distribution of X. Draw a graph of the distribution function F (x) of X · Calculate the mean μ and standard deviation σ of X. please explain hint x=2,P(x)=1/15 if you dont get this dont answer please