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A study discussed that the percent purity of oxygen from a certain supplier yields a mean of 99.61% and a standard deviation of 0.08%. If the distribution of percent purity is said to be in normal distribution, what purity value exceed exactly 5% of the population?


A circle of friends consist of 10 individuals, 3 of them likes chocolate, 2 likes strawberry and 5 likes vanilla, what is the probability of randomly selecting 6 friends in the following manner: 1 likes chocolate, 2 likes strawberry and 3 likes vanilla?


Given a normal distribution with mean equal to 30 and standard deviation of 6, find the normal curve are to the left of x=22


The finished inside diameter of a piston ring is normally distributed with a mean of 10 cm and a standard deviation of 0.03 cm. Below what value of inside diameter will 15% of the piston rings fall?


In a grocery store there are 10 brands of canned tuna, 3 of which are on sale, a market goer takes 5 canned tuna at random, what is the probability that less than 3 are on sale?


A civil engineer takes a public ride going to his firm. The average time for his trip is 24 minutes, with a standard deviation of 3.80 minutes. If the office offers coffe from 8:50AM to 9:00AM, and he leaves his house at 8:35AM, what is the probability (in percent) that he misses coffee?


What is the mean value of a binomial distribution corresponding to 30 trials with failure rate of 25%?


A soft-drink machine is regulated so that it discharges an average of 200 mm/cup. Of the amount of drink is normally distributed with a standard deviation equal to 15 mm, how many cups will probably overflow if 230 mm cups are used for the next 1000 drinks?


Cards are drawn from an ordinary deck of cards with replacement, what is the probability that an ace is drawn in the 3rd pick?


The average grade for an exam is 74, and the standard deviation is 7. If 12% of the class is given grade A, and the grades are curved to follow a normal distribution, what is the lowest possible grade A?