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A lot of 100 semiconductor chips contains 20 that are defective. Two chips are selected at random, without replacement, from the lot. (a) What is the probability that the first one selected is defective? (b) What is the probability that the second one selected is defective given that the first one was defective? (c) What is the probability that both are defective?
a. Define variables that would tell how many units to purchase from each source. b. Develop an objective function that would minimize the total cost.
Two percent of the parts from a production process are defective. A sample of five parts from the production process is selected. What is the probability that the sample contains exactly two defective parts?
Assume the population standard deviation (s) is 0.5 and the sample size (n) is 100. Calculate the values for alpha, a type I error and beta, a type II error. (To calculate Beta, consider a mean that is 1 standard error away from the lower end valu..
Develop a linear regression equation for these data and forecast how much money Robert will win if he spends $30.
Represent (X,Y) as a function of (U,V). Find the joint density f(u,v) for (U,V) (Hint: take into account the region where it is non-zero). Calculate f(1,0) and input it as the answer.
Let z be a standard normal random variable and calculate the following probabilities:
How many ways can she choose 4 dissimilar rides if order does not matter? If she has chosen the first weeks rides, how many ways can she choose four more different rides for second week? Suppose that order does not matter.
To determine monthly rental prices of apartment units in San Francisco Bay area, samples were constructed in the following ways. Identify the technique used to produce each sample. (cluster, convenience, random, stratified, systematic):
Mean score on 10 item test for all students enrolled in a Traditional course was 9.64. A random sample of 41 students in Project Course is given same test
Children per family for certain community from census data. Recognize random variable of interest, find out whether is a discrete or continuos, and write its possible values.
What happens to the confidence interval when we go from a 95% confidence level to a 99% confidence level? Is this desirable? When would we want to use a 99% confidence interval?
Diastolic blood pressure are assumed to follow a normal distribution with a mean of 85 and a standard deviation of 12.
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