Suppose that k events b1, b2, bk form a partition of the sample space s. for i = 1, k, let p r(bi) denote the prior probability of bi . there is another event a that p r(a) > 0. let p r(bi |a) denote the posterior probability of bi given that the event a has occurred. prove that if p r(b1|a) < p r(b1), then p r(bi |a) > p r(bi) for at least one value of i (i = 2, k). (hint: one or more of these tricks might : p(bi |a)p(a) = p(bi ∧ a), pk i=1 p(bi) = 1, pk i=1 p(bi |a) = 1, p(bi ∧ a) + p(bi ∧ ¬a) = p(bi), pk i=1 p(bi ∧ a) = p(a))

20 ! jason orders a data set from least to greatest. complete the sentence by selecting the correct word from each drop-down menu. the middle value of the data set is a measure and is called the part a: center b: spread part b: mean a: mean absolute deviation b: median c: range

Sun country bus lines has 80000 shares of stock outstanding what would the dividend per share of stock be from a dividends declaration of 109600

Leslie started last week with $1200 in her checking account. during the week, she wrote the checks below. trans typ./ check no. date description of transaction payment/ debit deposit/ credit (+) balance 1,200 00 324 10/6 miller's food market 45.87 45 87 groceries 1,154 13 325 10/7 cyber center computer outlet 218.59 218 59 monitor 935 54 326 10/9 sandy's beauty salon 30.00 30 00 haircut and styling 900 59 deposit 10/10 paycheck 621.33 621 33 1,621 92 evaluate leslie's check register. a. leslie did a good job. everything is correct. b. the final balance is wrong; she did not add everything correctly. c. leslie should have written debit instead of deposit for the transaction type. d. leslie switched the debit and credit columns.