統(tǒng)計學(xué)期中考

期中考八十九擘年度第二擘期^苴果班級：資管2A考就日期：90年4月24日9:30-11:30任^教白幣:榻子青借官主:可搞帶工程用言十算檄［1］以下是抽檄20位美式足球四分衢在某球季的僖球碣敦：74465257611129714511023852809596941975400711117412788205119071251(a)看青做出其盒形圈(boxplot)，以盒形圈辨色忍是否有離隹群值。10%(b)言青言十算其棣本平均敦、燮昊敦、襟津差、燮昊保敷。8%(c)V青根摞柴比雪夫定理(Chebyshev'stheorem)，求至少能涵蓋15位四分布了僖球碣教的^^^圉。5%(d)看青言十算第一位球具僖球碟<(744礁)的z-分?jǐn)?shù)(z-score)。2%⑵靜宜資管人擘的管道包括大擘耳第考、推蒿甄春式、以及插大樽擘考，各他管道入擘的擘生其所估比例分別卷60%、30%、10%，且知各管道人擘擘生被退擘的比例分別卷2%、4%、1%：(a)春青冏擘生被退擘的檄率懸何？5%(b)若某擘生被退擘，即官亥孥生是來自大孥耳第考、推蒿甄就、插大斡擘考的檄率分別卷何？10%［3］榻老白幣估言十擘生每遇K統(tǒng)言+4、5或6小疇，期末能pass的檄率分別卷1/6、2/6及3/6，令隨檄燮敷擘生每11K善的畤信?：(a)春青嘉出其檄率分配函數(shù)f(x)。5%(b)篇■、幺畬出其檄率分配圈。5%［4］已知Bernoulli檄率分配函事攵定羲卷：f(x)=px(\-p)1-\x=<p<\(a)苴酢登明此檄率分配函數(shù)滿足^率分配函數(shù)的雨偃］要求修件。10%(b)高青根摞期望值的定羲E(x)=2xf(x)求Bernoulli分配的期望值。10%(c)吉青根獴燮昊敷的定羲Var(x)=E(x-E(x))2=E(x2)-(E(x))2求Bernoulli分配的燮昊敦。10%

[5]假言殳修統(tǒng)言十擘及格的比例卷85%，或假言殳本阜期彳堇有10人修此塔果程：(a)令隨檄燮數(shù)x卷及格的人數(shù)，箱?嘉出其檄率分配函數(shù)。5%<4位擘生及格的檄率卷何？5%8位以上擘生(包含8人)及格的檄率卷何？5%(d)及格人嚏攵的期望值卷何？5%【用甫充資料一】【用甫充資料一】表5二項檄率(1?)【用甫充資料一】表5【用甫充資料一】表5二項檄率(1?)nX.10.15.2090.3874.2316.13421.3874.3679.30202.1722.2597.30203.0446.1069.17624.0074.0283.06615.0008.0050.01656.0001.0006.00287.0000.0000.00038.0000.0000.00009.0000.0000.0000100.3487.1969.10741.3874,3474.26842.1937.2759.30203.0574.1298.20134.0112.0401.08815.0015.0085.02646.0001.0012.00557.0000.0001.00088.0000.0000.00019.0000.0000,000010.0000.0000.0000P.25.3035.40.45.50,0751.0404.0207.0101.0046,0020.2253.1556.1004.0605.0339.0176.3003.2668.2162.1612.1110.0703.2336.2668.2716.2508.2119.1641.1168,1715.2194.2508.2600.2461,0389.0735.1181.1672.2128.2461.0087.0210.0424.0743.1160.1641.0012.0039.0098.0212.0407.0703.0001.0004.0013.0035.0083.0176.0000.0000.0001.0003.0008,0020.0563.0282.0135.0060,0025.0010.1877.1211.0725.0403,0207.0098.2816.2335.1757.1209.0763.0439.2503.2668.2522.2150.1665.1172.1460.2001.2377.2508.2384.2051.0584.1029.1536.2007.2340.2461.0162.0368.0689.1115.1596.2051.0031.0090.0212.0425,0746.1172.0004.0014.0043.0106.0229.0439.0000.0001.0005.0016.0042,0098.0000.0000.0000,000