Question

an electronics company finishes a production run of 5000 tablet computers, which includes 900 defective units....

an electronics company finishes a production run of 5000 tablet computers, which includes 900 defective units. To test this batch for defects, a random sample of 100 tablets is drawn (without replacement) and tested. Let X be the random variable that counts the number of defective units among the sample.

a. find the expected (mean) value, variance, and standard deviation of X

b. the probability distribution of X can be approximated with a binomial distribution. Why?  

c. Use the binomial approximation to find the approximate probability that the sample includes exactly 15 defective units.

d. Find the approximate probability that X is within 1 standard deviation of its mean value

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Question 1: Suppose that of 6,000 electrical fuses, 5% are defective. Also, suppose that a random...
Question 1: Suppose that of 6,000 electrical fuses, 5% are defective. Also, suppose that a random sample of 10 fuses is selected and consider the random variable X representing the number of defective fuses in the sample. (a) Explain why a binomial distribution is appropriate. (b) What is the probability that at least one of the fuses is defective? (c) What is the probability that fewer than 3 fuses are defective? Question 2: Refer to the setup in Question 1....
A company operates an assembly line. The company believes that there is a 3% probability that...
A company operates an assembly line. The company believes that there is a 3% probability that any given item produced on the line will contain a defect. If 100 items are pulled at random from the line, what is the probability there will be exactly 4 defective items? ____ If 100 items are pulled at random from the line, what is the probability there will be 9 or more defective items? _______ If X = the number of defectives in...
1. For a binomial distribution, if the probability of success is 0.621 on the first trial,...
1. For a binomial distribution, if the probability of success is 0.621 on the first trial, what is the probability of success on the second trial? 2.A company purchases shipments of machine components and uses this acceptance sampling plan: Randomly select and test 32 components and accept the whole batch if there are fewer than 5 defectives.If a particular shipment of thousands of components actually has a 5.5% rate of defects, what is the probability that this whole shipment will...
True or False: 10. The probability of an event is a value which must be greater...
True or False: 10. The probability of an event is a value which must be greater than 0 and less than 1. 11. If events A and B are mutually exclusive, then P(A|B) is always equal to zero. 12. Mutually exclusive events cannot be independent. 13. A classical probability measure is a probability assessment that is based on relative frequency. 14. The probability of an event is the product of the probabilities of the sample space outcomes that correspond to...
One way of checking the effect of undercoverage, nonresponse, and other sources of error in a...
One way of checking the effect of undercoverage, nonresponse, and other sources of error in a sample survey is to compare the sample with known facts about the population. About 14% of American adults are black. The numbers X of blacks in a random sample of 1700 adults should therefore vary with the binomial (n = 1700, p = 0.14) distribution. (a) What are the mean and standard deviation of X? (Round your standard deviation to three decimal places.) mean...
1.A weekend TV game show called rolling a dice is running each week. For each roll,...
1.A weekend TV game show called rolling a dice is running each week. For each roll, if the dice shows an odd number the participate earns 5 dollars and otherwise, he gets nothing. Each participate can roll the dice 20 times. Let X denote the number times the dice shows an odd number. a) (2 mark) Calculate the average earning of a participate. b) Calculate the probability that ? ⩽ 2 (show your final answer correct to four decimal places)....
A. The personnel office at a large electronics firm regularly schedules job interviews and maintains records...
A. The personnel office at a large electronics firm regularly schedules job interviews and maintains records of the interviews. From the past records, they have found that the length of a first interview is normally distributed, with mean μ = 38 minutes and standard deviation σ = 4 minutes. (Round your answers to four decimal places.) (i) What is the probability that a first interview will last 40 minutes or longer?____________________ (ii) Ten first interviews are usually scheduled per day....
*Answer all questions using R-Script* Question 1 Using the built in CO2 data frame, which contains...
*Answer all questions using R-Script* Question 1 Using the built in CO2 data frame, which contains data from an experiment on the cold tolerance of Echinochloa crus-galli; find the following. a) Assign the uptake column in the dataframe to an object called "x" b) Calculate the range of x c) Calculate the 28th percentile of x d) Calculate the sample median of x e) Calculate the sample mean of x and assign it to an object called "xbar" f) Calculate...
BridgeRock is a major manufacturer of tires in the U.S.. The company had five manufacturing facilities...
BridgeRock is a major manufacturer of tires in the U.S.. The company had five manufacturing facilities where tires were made and another 20 facilities for various components and materials used in tires. Each manufacturing facility produced 10,000 tires every hour. Quality had always been emphasized at BridgeRock, but lately quality was a bigger issue because of recent fatal accidents involving tires made by other manufacturers due to tread separation. All tire manufacturers were under pressure to ensure problems did not...
2) A market research company wishes to find out which of two internet search engines the...
2) A market research company wishes to find out which of two internet search engines the population of students at a university prefers to use: Google or MSN Search. A random sample of students is selected, and each one is asked to search for a certain subject using Google and then MSN, or vice versa. The order of the two searches was determined at random. They then indicate which internet search engine they prefer. What type of study is this?...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT