Question

In: Statistics and Probability

a package contains 9 resistors 2 of which are defective if 4 are selected at random...

a package contains 9 resistors 2 of which are defective if 4 are selected at random find the probability of getting

0 defective

1 defective

2 defective

Solutions

Expert Solution


Related Solutions

A box contains 12 items, 4 of which are defective. An item is chosen at random and not replaced.
A box contains 12 items, 4 of which are defective. An item is chosen at random and not replaced. This is continued until all four defec- tive items have been selected. The total number of items selected is recorded.
A lot of 1000 screws contains 30 that are defective. Two are selected at random, without...
A lot of 1000 screws contains 30 that are defective. Two are selected at random, without replacement, from the lot. Let A and B denote the events that the first and second screws are defective, respectively. (a) Prove whether or not A and B are independent events using mathematical expressions of probability.
Box A contains 7 items of which 2 are defective, and box B contains 6 items of which 1 is defective.
Box A contains 7 items of which 2 are defective, and box B contains 6 items of which 1 is defective. If an item is drawn at random from each box. Find the probability that both items are non- defective. 1/21 19/42 10/13 25/42
A day’s production of 850 parts contains 50 defective parts. Three parts are selected at random...
A day’s production of 850 parts contains 50 defective parts. Three parts are selected at random without replacement. Let the random variable ? equal the number of defective parts in the sample. 1. Find the probability mass function 2. Find the cumulative distribution function of ?. 3. Find ?(? > 0.5) = 4. Find ?(1.5) = 5. Find ?(2) − ?(0.3) = 6. Find ?(0.99 < ? < 2.5) =
A shipment contains 200 items of which 50 are defective. A sample of 16 items from the shipment is selected at random without replacement.
 A shipment contains 200 items of which 50 are defective. A sample of 16 items from the shipment is selected at random without replacement. We accept the shipment if at most 3 items in the sample are defective. (a) Write down (but do not evaluate) an exact formula for the probability of acceptance. (b) Use a Table to give the decimal value for the binomial approximation of the probability of acceptance. Show your work. (c) Suppose instead that the shipment contains 500 items of...
Suppose that a bag contains 16 items of which 8 are defective. Four items are selected...
Suppose that a bag contains 16 items of which 8 are defective. Four items are selected at random without replacement. Find the probabilities that: Provide your answers in 2 d.p (decimal point) without space in between the values only one item is defective all selected items are non-defective all selected items are defective at least one of the selected items is defective
1) 4 ballpoint pens are selected without replacement at random from a box that contains 2...
1) 4 ballpoint pens are selected without replacement at random from a box that contains 2 blue pens, 3 red pens, and 5 green pens. If X is the number of blue pens selected and Y is the number of red pens selected a. Write the “joint probability distribution” of x and y. b. Find P[(X, Y ) ∈ A], where A is the region {(x, y)|x + y ≤ 2}. c. Show that the column and row totals of...
A box of manufactured items contains 12 items of which 4 are defective. If 3 items...
A box of manufactured items contains 12 items of which 4 are defective. If 3 items are drawn at random without replacement, what is the probability that: 1. The first one is defective and rest are good 2. Exactly one of three is defective
A shipment of 6 television sets contains 2 defective sets. A hotel makes a random purchase...
A shipment of 6 television sets contains 2 defective sets. A hotel makes a random purchase of 3 of the sets. If x is the number of defective sets purchased by the hotel, find the cumulative distribution function of the random variable X representing the number of defective. Then using F(x), find (a)P(X= 1) ; (b)P(0< X≤2).
A box contains 12 items of which 3 are defective. A sample of 3 items is selected from the box
A box contains 12 items of which 3 are defective. A sample of 3 items is selected from the box. Let X denotes the number of defective item in the sample. Find the probability distribution of X. 
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT