Find the probability of fetecting
A company finds errors on 10% of its invoices. if a random sample of 100 invoices is drawn, use normal aproximation to the binomial to find the probability of fetecting at most 5 invoices with errors.
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Let Y1, Y2, . . . , Yn be independent and identically distributed with following probability density function f(y) = 4(1 - y) ^3, 0 < y < 1 f(y)= 0 otherwise
A sleep study shows that sleep time follows a normal distribution with the mean of 7 hours and a standard deviation of .5 hours. What is the probability that someone will sleep for 6 or less hours?
Of these students, 90 earned an A in calculus, 66 earned an A in physics, and 45 "mystically" received an A in both calculus and physics. What is the probability that a randomly chosen student earned an A in at least one of the two courses?
Four MIT engineering students stand in line at the movie theater to see The Truth About An Inconvenient Truth. Into how many different ways can the students be arranged?
Six lifeguards are available for duty one afternoon. There are five lifeguard stations. In how many ways can five lifeguards be chosen for the stations?
A die is rolled 12 times. Given that two of rolls came up 1, four came up 2, three came up 3, one came up 4, two came up 5, and none came up 6, how many different arrangements of the outcomes are there?
Six are True-False questions, and Six are multiple-choice questions which have five choices each. A student must choose an answer for each question. In how many manners can this be done?
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