Suppose a lot of 10,000 items has 200 defective items and that a random sample of 30 is drawn from the lot. What is the probability (to four decimal places) of getting exactly 1 defective in the sample? Do not use Poisson or binomial approximation.
Suppose a lot of 10,000 items has 200 defective items and that a random sample of...
Suppose a lot of 10,000 items has 200 defective items and that a random sample of 30 is drawn from the lot. What is the binomial approximation (to five decimal places) of the probability of getting exactly 2 defective items in the sample?
Give exact value and show work. Suppose a lot of 10,000 items has 200 defective items and that a random sample of 30 is drawn from the lot. What is the Poisson approximation (to four decimal places) of the probability of getting exactly 1 defective in the sample?
1. The proportion of defective items in a large lot is p. Suppose a random sample of n items is selected from the lot. Let X denote the mumber of defective itens in the sample and let denote the number of non-defective items. (a) Specify the distributions of X and Y, respectively. Are they independent? (b) Find E(X-Y) and var(X Y). 1. The proportion of defective items in a large lot is p. Suppose a random sample of n items...
The proportion of defective items in a large lot is p. Suppose a random sample of n items is selected from the lot. Let X denote the number of defective items in the sample and let Ydenote the number of non-defective items (a) Specify the distributions of X and Y , respectively. Are they independent? (b) Find E(X −Y) and var(X −Y).
Suppose 2% of power drills are defective. What is the probability that in a random sample of 1000 power drills, at most 15 are defective. Use the normal approximation to the binomial to approximate this probability.
please show work.. Suppose there are 4 defective items in a lot (collection) of 60 items. A sample of size 15 is taken at random and without replacement. Let X denote the number of defective items in the sample. Construct the probability table and graph the probability mass function. In the sample, at least one defective item is detected. What is the probability that at most two defective items are found?
A quality control inspector has drawn a sample of 15 light bulbs from a recent production lot. Suppose 20% of the bulbs in the lot are defective. What is the probability that exactly 2 bulbs from the sample are defective? Round your answer to four decimal places.
A quality control inspector has drawn a sample of 1010 light bulbs from a recent production lot. Suppose 20%20% of the bulbs in the lot are defective. What is the probability that exactly 66 bulbs from the sample are defective? Round your answer to four decimal places.
The probability that a part produced by a certain factory's assembly line will be defective is 0.025. Suppose a sample of 130 parts is taken. Find the following probabilities by using the normal curve approximation to the binomial distribution. Use the table of areas under the standard normal curve given below. The probability that exactly 2 parts will be defective is ____. (Round to four decimal places as needed.) The probability that no parts will be defective is _____. (Round...
(a) The records show that 8% of the items produced by a machine do not meet the specifications. You take a sample of 100 units. Find the standard deviation (Use exactly two decimal places) (b) The records show that 8% of the items produced by a machine do not meet the specifications. You take a sample of 100 units. What is the probability that this sample of 100 units contains five or more defective units?Use the normal approximation to the...