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Suppose an urn has n chips numbered 1,2,3,......,n . A person draws a chip, returns it, draws another, returns it and so on until he gets a chip which has been drawn before and then stops. Let X be
Assume that the average annual salary for a worker in the United States is $37,000 and that the annual salaries for Americans are normally distributed with a standard deviation equal to $6,500. Find
Find the value of z such that approximately 10.26% of the distribution lies between it and the mean.
Given a binomial distribution with n = 20 and p = 0.76, would the normal distribution provide a reasonable approximation? Why or why not?
If the random variable z is the standard normal score, is it true that P(z < 0) could easily be determined without referring to a table? Why or why not?
An inspector correctly identifies defective products 90% of the time. For the next 10 products, what is the probability that he makes fewer than 2 incorrect inspections? Round your answer to three d
An automotive center keeps tracks of customer complaints received each week. The probability distribution for complaints can be represented as a table or a graph, both shown below. The random variab
Does the ordered array or the stem-and-leaf display provide more information? Discuss. Around what value, if any, is the cost of dark chocolate bars concentrated? Explain.
Construct a 95% confidence interval estimate of the population mean tread index for tires produced by this manufacturer under this brand name. Do you think the tires meet the performance information
What is the probability that a randomly selected item from the production process will not be defective? Express probabilities to 4 decimal places of accuracy.
A city council consists of 7 males and 4 females. Two councilors are selected at random to represent the city. What is the probability that both councilors are male?
A person has applied for positions at Company A, Company B and Company C. The probability of obtaining an offer from Company A is 0.4, from B is 0.3 and from C is 0.6. Assume that the three jobs off
One student is selected from the student body of your college. define the following events: M-the student selected is male, F- the student selected is female, S- the student selected is registered f
A commercial farmer harvests his entire field of a vegetable crop at one time. Therefore, he would like to plant a variety of green beans that mature all at one time (small standard deviation betwee
A class of 50 students obtained the following grades in a statistics course:
This distribution is formed from the data in a sample. We can actually draw this distribution, even for large populations. It is not hypothetical.
Test at the 0.10 significance level using the p-value approach. (Assume that call times are normally distributed. Suppose you wished to conduct the test in part b using X as the test statistic.
An MP3 player user has 10 albums stored in the memory of the player, consisting of respectively 9, 9, 8, 10, 8, 9, 10, 9, 10, and 10 songs. The user plans to make a new song playlist by choosing two
Manufactured articles are packed in boxes each containing 200 articles & on average 1.5% of all articles manufactured are defective. A box which contains 4 or more defective articles is substand
On one occasion where a sample of 40 customers was selected, the average number of days was 6.65, with a sample standard deviation of 1.5 days. Can the operations manager conclude that this mail-ord
Based on this sample, develop and interpret a 98% confidence interval estimate for the proportion of the traveling population that would have been impacted had the "one-bag" limit been in effect. Di
Determine the margin of error in the pilot sample. Assume a confidence level of 95%.
A local radio station is interested in estimating the percentage of a target market that has a favorable impression of its morning show. The marketing department wishes to estimate this proportion w
A lorry load consists of 16 boxes randomly chosen. Find the probability that a lorry load will include at most 2 boxes which are substandard. Ans: 0.043 (Dont need to answer this part)
The pilot study was initiated because of the costs involved in sampling. Each sampled observation costs approximately $10 to obtain. Originally, it was thought that the population's standard deviati