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problemyou are going to draw two candy bars from a large bag containing 22 snickers bars and 8 twix bars assume you are
a box contains 3 red balls 4 blue balls 4 blue balls and 6 green balls balls are drawn one-by-one without replacement
suppose that x is a random variable with just two possible values alpha and b for x alpha and b find a formula for px
a collection of tickets comes in four colors red blue white and green there are twice as many reds as blues equal
show that the distribution of a random variable x with possible values 0 1 and 2 is determined by micro1nbsp ex and
indicators and the inclusion-exclusion formula let ianbspbe the indicator of a show the followinga the indicator of ac
success runs in independent trials consider a sequence of n gt 4 independent trials saynbsp run of three successes
let x be the number of-days in month picked at random from the 12 months of a year not a leap yeara display the
suppose x1nbspand x2nbspare independent find a formula for valpharx1x2 in terms of micro1nbsp ex1 sigma21nbsp
let xpnbsprepresent the number appearing on one roll of a shape which lands flat 1 or 6 with probability p as described
suppose three marksmen shoot at a target the ith marksman fires ni times hitting the target each time with probability
out of n individual voters at an election r vote republican and n -r vote democrat at the next election the probability
suppose that y has uniform distribution on the n numbers alpha alpha b alpha n - 1b and that x has uniform
a random variable x has expectation 10 and standard deviation 5a find the smallest upper bound you can for px gt 20b
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