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suppose the iq scores of a million individuals have a mean of 100 and an sd of 10a without making any further
suppose the average family income in an area is 10 000a find an upper bound for the percentage of families with incomes
a show that if x and y are independent random variables then valpharx - y valpharx yb let d1nbspand d2nbsprepresent
a game consists of drawing tickets with numbers on them from a box independently with replacement in order to play you
let x be a random variable with px - 1 px 0 14 and px 1 12 let s be the sum of 25 independent random variables
in roulette the house special is a bet on the five pockets 0 00 1 2 and 3 there are 5 chances in 38 to win and the bet
a new elevator in a large hotel is designed to carry about 30 people with a total weight of up to 5000 ibs more than
suppose you have 100000 to invest in stocks if you invest 1000 in any particular stock your profit will be 200 100 0 or
roundoff errors suppose you balance your checkbook by rounding amounts to the nearest dollar between 0 and 49 cents
suppose that in a particular application requiring a single battery the mean lifetime of the battery is 4 weeks with a
a box contains four tickets numbered 0 1 1 and 2 let snnbspbe the sum of the numbers obtained from n draws at random
mean absolute deviationa calculate the mean absolute deviation ex - micro for x the number on a six-sided dieyour
let s be the number of successes in n independent bernoulli trials with possibly different probabilities p1 pnnbspon
let dnnbspbe the average of n independent random digits from 0 9a guess the first digit of dnnbspso as to maximize
let xi be the last digit of d2i where di is a random digit between 0 and 9 for instance if dinbsp 7 then d2inbsp 49 and
a coin which lands heads with probability p is tossed repeatedly assuming independence of the tosses find formula fora
an urn contains 10 red balls and 10 black balls balls are drawn out at random with replacement until at least one ball
suppose you pick people at random and ask them what month of the year they were born let x be the number of people you
in the game of odd one out three people each toss a fair coin to see if one of their coins shows a different face from
bill mary and tom have coins with respective proximities p1 p2 p3 of turning up heads they toss their coins
the geometric p distribution on 0 1 2nbsp the geometric p distribution is often defined as a distribution on 0 1 2
suppose that a and b take turns in tossing a biased coin which lands heads with probability p suppose that a tosses
craps in this game a player throws two dice and observes the sum a throw of 7or 11 is an immediate win a throw of 2 3
suppose we play the following game based on tosses of a fair coin you pay me 10 and i agree to pay you n2 if heads