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1. A machine produces 12,000 bolts per day, with a 3% defect rate. What is the probability that twelve defective bolts will be found in a sample of 600 bolts?
2. One bag contains 4 white balls and 2 black balls. A second bag contains 3 white balls and 5 black balls. One of the two bags is chosen at random, and a ball selected randomly. The ball is white. What is the chance the bag selected was the first bag?
what is the probability of having a length of gestation less than or equal to 36 weeks given that an infant is low
If X and Y are two independent Poisson random variables, then show that the conditional distribution of X given X+Y is binomial.
Each undergraduate course taught cost the college an average of $2,500 in faculty wages, and each graduate courses cost $ 3,000. How many undergraduate and graduate courses should be taught in the fall so that the total faculty salaries are kept t..
In Eurelia there are three categories of bicycle license, with different fees for each. The table below is based on a random sample of 122 Eurelian bicycle-license holders.
Suppose 3 high school students are randomly selected from different schools. What is the probability that all graduate?
a coin is flipped until heads occur twice. define two random variables x and y to be the trial numbers at which the
consider three jars labelled jar 1 jar 2 and jar 3. jar 1 contains one red ball and three green balls. likewise jar 2
The claim is that the proportion of adults who smoked a cigarette in the past week is less than 0.35, and the sample statistics includen =1276 subjects with 434 saying that they smoked a cigarette in the past week. Find the value of the test stati..
a report issued by the american association of building contractors indicates that 40 of all home buyers will do some
a mass of 46 grams of oxygen fill a weighted piston-cylinder device at 47kpa and 140degree c. the device is now cooled
The traveling salesperson randomly selects 5 apartments in your building to visit. What is the probability that she visits both you and your neighbor bill?
the coefficient of static friction between the m 2.95-kg crate and the 35.0deg incline of the figure below is 0.330.
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