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1. In a large shipment of automobile tires, 10% have a flaw. Four tires are chosen at random to be installed on a car.
a. What is the probability that none of the tires have a flaw?
b. What is the probability that exactly one of the tires has a flaw?
c. What is the probability that one or more of the tires has a flaw?
2. Of the bolts manufactured for a certain application, 85% meet the length specification and can be used immediately, 10% are too long and can be used after being cut, and 5% are too short and must be scrapped.
a. Find the probability that a randomly selected bolt can be used (either immediately or after being cut).
b. Find the probability that fewer than 9 out of a sam- ple of 10 bolts can be used (either immediately or after being cut).
The caffeine content of 20 brands of regular coffee is shown below. 80 82 89 85 87 30 33 44 40 46 50 55 60 62 71 90 92 75 63 65. Thus, this job helps to construct a Frequency Distribution with a class interval of 10, starting with 30.
Carefully define a standard normal distribution. Why does a researcher want to go from a normal distribution to a standard normal distribution? Explain.
What is the probability of choosing a yellow candy, what is the probability that the candy is blue, red, or green and what is the probability of choosing an orange candy?
Given the binomial distribution with n = 23 and p = 0.79, would the normal distribution provide the reasonable approximation? Why or why not?
Determining probability when guessing answers. Test comprise of multiple- choice questions each having 4 possible answers (a, b, c, d) one of which is right. Suppose that you guess answers to six such questions.
Discover whether using simple linear regression analysis is appropriate. Which two graphs could you create with your data to help you? How would you interpret them?
Show that ( f dµ is well-defined and if ( 1 fn - g1 dµ → 0, then ( fn dµ converge to an element of S depending only on g, which will be called ( g dµ (Bochner integral).
If the manufacturer's claim is true, what is the probability that the claim will be rejected?
Assuming that the variability is unchanged (i.e., σ = 6), is there sufficient evidence to suggest that the strength of the product has increased at the 1% level of significance?
If the FDA did not approve the new drug, it could still be sold overseas, and the company could make $200 million over the same number of years. Construct a decision tree and recommend a decision on whether to develop the new drug.
hw5 logistic regression1. nbspmarentette and el-masri 2011 used logistic regression to identify predictors of obtaining
given the independent random variables x and y with respective probability mass functionspx 0 12px2 12py1 16py2
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