Binomial distribution with continuity correction, Advanced Statistics

Records on the computer manufacturing process at Pratt-Zungia Limited show that the percentage of defective computers sent to  customers has been 5% over the last few years. Shipments of 100 computers are sent to an overseas retail customer.

(i) What is the probability that the shipment of 100 computers will contain between 2 and 8 defective computers? Use the normal approximation to the binomial distribution with continuity correction.

(ii) What is the probability that the shipment of 100 computers will contain 10 or more defective computers? Use the normal approximation to the binomial distribution with continuity correction.

(iii) If 1000 shipments of 100 computers have been sent to the overseas retail customer in the last few years, how many of the shipments would you expect to have contained 10 or more defective computers?

(iv) If 1000 shipments of 100 computers have been sent to the overseas retail customer in the last few years, what is the probability that more than 25 of the 1000 shipments contained 10 or more defective computers?

(c) From past records at an urban maternity hospital it has been found that the birthweight of newborn infants has a mean of 3.5 kg and a standard deviation of 1 kg. It is also known that birthweight has a normal distribution.

i) If the birthweights of 10 newborn infants are randomly selected from the hospital's database, what is the probability that the average birthweight of the random sample of 10 newborn infants is less than 3 kg. Explain briefly whether you need to know the probability distribution of birthweight for this calculation, and if not, why not.

(ii) If the birthweights of 50 newborn infants are randomly selected from the hospital's database, what is the probability that the average birthweight of the random sample of 50 newborn infants is between 3.6 kg and 3.8 kg. Explain briefly whether you need to know the probability distribution of birthweight, and if not, why not.

(d) A manufacturer sends a customer a shipment of 2000 spark plugs in which 80 of the spark plugs are defective. The customer has a specified quality standard in which a random sample of 200 is inspected from a shipment of 2000 spark plugs. If 15 or more defective spark plugs are found in a sample of 200, the shipment is sent back to the manufacturer. What is the probability that the customer sends this shipment back to the manufacturer?

Posted Date: 2/25/2013 4:39:45 AM | Location : United States







Related Discussions:- Binomial distribution with continuity correction, Assignment Help, Ask Question on Binomial distribution with continuity correction, Get Answer, Expert's Help, Binomial distribution with continuity correction Discussions

Write discussion on Binomial distribution with continuity correction
Your posts are moderated
Related Questions

Laplace distribution : The probability distribution, f(x), given by the following formula   Can be derived as the distribution of the difference of two independent random var

Longini Koopman model : In epidemiology the model for primary and secondary infection, based on the classification of the extra-binomial variation in an infection rate which might

Designs which permits two or more questions to be addressed in the investigation. The easiest factorial design is one in which each of the two treatments or interventions are p

Individual differences scaling is a form of multidimensional scaling applicable to the data comprising of a number of proximity matrices from the different sources that is differe

Independent component analysis (ICA) is the technique for analyzing the complex measured quantities thought to be mixtures of other more fundamental quantities, into their fundamen


The risk of being able to recognize the respondent's confidential information in the data set. Number of approaches has been proposed to measure the disclosure risk some of which c

The linear component ηi, de?ned just in the traditional way: η i = x' 1 A monotone differentiable link function g that describes how E(Yi) = µi is related to the linear compon

Cauchy distribution : The probability distribution, f (x), can be given as follows   where α is the position of the parameter (median) and the beta β a scale parameter. Moments