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數學與統計 大學

求第17題

人 14. Profit The profit 16. 人2/ 2 / Wcd/e Figure for 17 Figure for 18 18. 95 。Volume_AIl edgaes of a cube Pro hom selling x units Of a product ls glven by 2三 510N 0 atarate ot 9 units per dl the prottt when (am) 、 二 4 The sales are Jncreasing ay. Find the rate Of change Of 00 units and (bD)文三 600 unjts, qre expanding at a rate How fast is the volume changing when each edge is (a) 2 centimeters and (b) 10 centimeters? ot 6 centimeters per second, Surface Area_AI edges ofacube are expanding at a Tate of 6 centimeters Per Second. How fast is the surface area changing when each edge is (a) 2 centimeters and (b) 10 centimeters? 。 Boating_A boat is pulled by a winch on a dock, and te winch is 3 meters above the deck of the boat (See figure). The winch pulls_the Tope at arate of 1 meter per second. Find thexspeed 6fthe boat when 5 meters 9t Tope 1S out. What happens to the Speed of the boat as it gets closer and closer to the dock? Shadow Length “Aman 2meters tall walks at arate 0f ].5 meters per second away from a light that is 5 meters aboye the ground (see figure). | (a) When he js 3 meters from the base of the light, at 人 和 生0) what rate js the tip of his shadow moving。 (b) When he js 3 meters from the base of the at what rate js the Jength of his shadow changlng。 Air Traffic_Control An airplane flying at an altitude Of 10 kilometers pasSes directly over aradar 蟬戰品 品 figure). When the airplane is 26 kilometerS away ($ 三 26), 由 卅0 ee 21, 22 23 24 12 店

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數學與統計 大學

33題,有人可以幫我列算式就好嗎 是波氏分配(卜瓦松分配)題目

CHMAPTER 6 smen er replacem es, muff plecitlons w 1r 同 the numper oftransmissf sen0C7 polsson 昌關 dmwpute 4 o Shop. The! te dett Ave/lino's Aut 字 ee 3 stributlon le butlon ls the an summary, the Polsson dis 呈ty dlstob n summar OP 4 needed to construct a Poiss 4 on aa random variable, desl9! errors, or other r: ellhood t 的 elikeli nedthejkelJncoo 同 on nsurance Company ge 1 polic surar From actuary taples, Washington 2 gten nsurance aty 』 age 25 wi qie within the next year is pay ity they wi 25-year-ojg men this year' whatis the probabilty 3 JjnaPoisson distributionn 三0.4 a. What is the probapility thatx三0 b. What is the probability thatx > 0? 32. 全a Poisson distributionh 二4 a. What is the probapbility thatx 三 2? b. What js the probapbiljty thatx 生 2? f experience, c. What js the probability thatx> 2? m her years ol 還 officer at Coast Bank and Trust. Fro ble to repay 9 inot bea she estimates that the probability is .025 that an applicant wi hs or her jnstajiment loan. Last month she made 40 1 父 What js the probability that three loans will be 和 sfaulted? 紀 What js the probability that at least three loans will be del tthe rate oftwo per Automobijles arrive at the Elkhart exit ofthe Indiana Tol 同 ibution minute. Tne distribution of arrivals approximates a Poisson distri 了人 a.- What is fhe Probabifity that no automopbiles arrive in a particular uiar Pp. what js fhe Propabjlity that at least one automobile arrives during mrnute? 5 站5 estimated that 0.5% ofthe Callers to the Customer Service department of Dell Jnc. wil receive a busy signal. whatis the probability that oftoday's 1,200 callers at reast 5 received a Pbusy signal? 。 生如e past schools jn Los Angeles Couni year for weafher enmergencies. What is 1 Counfy wi close for 4 days next year? 24 ty have closed an average of 3 days each he probability that schools in Los Angeles opapjlity distribution js a !ting apjjty associated wjth each Out( discrete propapjjity distribution can aSsume only certain values. The main features are: _The sum offhes probabilties is 1.00. The probapijlity ofa particular outcome is between 0.00 and 1.00. Jheoutcomes are mutually exclusive. ontinuous djsfribution can assume an jmfnite number ofvalues within a speecsi iean and variance ofa probability distribution are Computed as follows, mean js equalto: Come- ific rang variance js egqual to:

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