Let x1, be independent and identically distributed random variables, each with expected value ? = e[xi] = 2 and variance \sigma ^2 = var(xi) = 4. find an upper bound for p(x1+x2+···+x144 > 144) using the following steps:

(a) let z=x1+ x2++x144, and use rules of expectation and variance to find e[z]and var[z].
(b) let a be the difference between 144 and e[z].
(c) apply chebychev's inequality to z using the number a.
(d) use the fact that z is symmetrically distributed about its mean to connect your answer to (c) to the original question. (hint: draw a symmetric density curve for z, and mark the values e[z], (e[z]+a) and (e[z]? a.)
label regions in the graph with their corresponding probabilities.)

The penalties for a first-time dui charge include revocation of drivers license a. 180 days b. ben 180 des and one year c. bence 90 and 180 d. one year

Assume that all of thurmond company’s sales are credit sales. it has been the practice of thurmond company to provide for uncollectible accounts expense at the rate of one-half of one percent of net credit sales. for the year 20x1 the company had net credit sales of $2,021,000 and the allowance for doubtful accounts account had a credit balance, before adjustments, of $630 as of december 31, 20x1. during 20x2, the following selected transactions occurred: jan. 20 the account of h. scott, a deceased customer who owed $325, was determined to be uncollectible and was therefore written off. mar. 16 informed that a. nettles, a customer, had been declared bankrupt. his account for $898 was written off. apr. 23 the $906 account of j. kenney & sons was written off as uncollectible. aug. 3 wrote off as uncollectible the $750 account of clarke company. oct. 20 wrote off as uncollectible the $1,130 account of g. michael associates. oct. 27 received a check for $325 from the estate of h. scott. this amount had been written off on january 20 of the current year. dec. 20 cater company paid $7,000 of the $7,500 it owed thurmond company. since cater company was going out of business, the $500 balance it still owed was deemed uncollectible and written off. required: prepare journal entries for the december 31, 20x1, and the seven 20x2 transactions on the work sheets provided at the back of this unit. then answer questions 8 and 9 on the answer sheet. t-accounts are also provided for your use in answering these questions. 8. which one of the following entries should have been made on december 31, 20x1?

Afood worker has just rinsed a dish after cleaning it. what should he do next?