A box of 8 flashbulbs contains 3 defective bulbs. A random sample of 2 is selected...
A box of 8 flashbulbs contains 3 defective bulbs. A random sample of 2 is selected and tested. Let X be the random variable associated with the number of defective bulbs in a sample.
(A) Find the probability distribution of X.
(B) Find the expected number of defective bulbs in a sample.
Homework Answers
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A box of 8 flashbulbs contains 3 defective bulbs. A random
sample of 2 is selected...
1.) Suppose that a box contains 8 cameras and that 3 of them are defective. A...
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...
Question 10 > 0/2 pts 399 Details Suppose that a box contains 8 cameras and that...
Question 10 > 0/2 pts 399 Details Suppose that a box contains 8 cameras and that 4 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. Write the probability distribution for X. k P(X = k) What is the expected value of X? Question Help: D Post to forum Submit Question
3. Suppose a batch of 50 items contains 4 defective ones, and a sample of 5...
3. Suppose a batch of 50 items contains 4 defective ones, and a sample of 5 items is selected at random from the batch. Let X denote the number of defective items in the sample. (a) What is the name of the distribution of X? (b) Find the probability mass function for X. You may write this as a function or as a chart. If you write it as a function, also give the set of X values where the...
Creating a Discrete Probability Distribution Table Suppose that a box contains 7 cameras and that 4...
Creating a Discrete Probability Distribution Table Suppose that a box contains 7 cameras and that 4 of them are defective. A sample of 2 cameras is selected at random. Define the random variable X X as the number of defective cameras in the sample. Write the probability distribution for X X . Give your answers to 2 decimal places. k P(X = k) What is the expected value of X X ? Give your answer to 2 decimal places.
A crate contains 30 light bulbs, five of which are defective. A quality control officer randomly...
A crate contains 30 light bulbs, five of which are defective. A quality control officer randomly selects a committee of three bulbs without replacement. a. Find the probability distribution for X = the number of bulbs (out of three) that are defective. (Please round your probabilities to three decimals.) b. Use your distribution to find the probability that at most one (out of the three) bulbs is defective. c. Use your distribution to find the probability that at least two...
Problem 8 A large box of fuses contains 10% defectives. Four fuses are randomly selected from...
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...
In a box there are 20 light-bulbs, of which 7 are not working. We select 6...
In a box there are 20 light-bulbs, of which 7 are not working. We select 6 light-bulbs at random without replacement. What is the chance that 2 of the selected light-bulbs are not working? [Answer to 4 decimal places.] Submit Answer Tries 0/5 When circuit boards used in the manufacture of CD players are tested, the long-run percentage of defectives is 7%. A random sample of size n=23 of boards have been selected and checked. What is the expected number...
Box I contains 4 defective and 8 non-defective products, whereas box II contains 5 defective and...
Box I contains 4 defective and 8 non-defective products, whereas box II contains 5 defective and 5 non-defective products. An item is randomly chosen from box I and put into box II, and an item is then randomly selected from box II. a) the probability that the product selected from box II is defective is ? b) the conditional probability that the transferred item was defective, given that a defective item is selected from box II is?
A box contains 20 light bulbs of which 4 are defective. If one person randomly selects...
A box contains 20 light bulbs of which 4 are defective. If one person randomly selects 8 bulbs from the box, and a second person then takes the remaining bulbs, what is the probability that all 4 defective bulbs will be obtained by the same person?
please answer fast and neat 2. (30 pts) A box contains 3 defective and 4 working...
please answer fast and neat
2. (30 pts) A box contains 3 defective and 4 working bulbs. You choose 3 times 2 bulbs at random from the box without replacement. What is the probability that one defective and one working bulb are chosen each time?
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...
Question 10 > 0/2 pts 399 Details Suppose that a box contains 8 cameras and that 4 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. Write the probability distribution for X. k P(X = k) What is the expected value of X? Question Help: D Post to forum Submit Question
3. Suppose a batch of 50 items contains 4 defective ones, and a sample of 5 items is selected at random from the batch. Let X denote the number of defective items in the sample. (a) What is the name of the distribution of X? (b) Find the probability mass function for X. You may write this as a function or as a chart. If you write it as a function, also give the set of X values where the...
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...
In a box there are 20 light-bulbs, of which 7 are not working. We select 6 light-bulbs at random without replacement. What is the chance that 2 of the selected light-bulbs are not working? [Answer to 4 decimal places.] Submit Answer Tries 0/5 When circuit boards used in the manufacture of CD players are tested, the long-run percentage of defectives is 7%. A random sample of size n=23 of boards have been selected and checked. What is the expected number...
A box contains 20 light bulbs of which 4 are defective. If one person randomly selects 8 bulbs from the box, and a second person then takes the remaining bulbs, what is the probability that all 4 defective bulbs will be obtained by the same person?
please answer fast and neat
2. (30 pts) A box contains 3 defective and 4 working bulbs. You choose 3 times 2 bulbs at random from the box without replacement. What is the probability that one defective and one working bulb are chosen each time?
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