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Mathematics Senior High

数aの確率の問題です。 写真の」までは理解できるのですが、〜のところから理解できないので、解説お願いします。

重要 例題 57 独立な試行の確率の最大 423 00000 さいころを続けて100回投げるとき、1の目がちょうど回 (0≦k≦100) 出る確 率は 100 Ck × 6100 であり,この確率が最大になるのはk=1のときである。 [慶応大 基本 49 (ア)求める確率をする。 1の目が回出るとき, 他の目が100回出る。 (イ) 確率 Dw の最大値を直接求めることは難しい。 このようなときは, 隣接する2項 +1の大小を比較する。 大小の比較をするときは,差をとることが多い。し かし,確率は負の値をとらないことと nCy= n! r!(n-r)! を使うため, 式の中に累乗 や階乗が多く出てくることから, 比 Dk+1 をとり 1との大小を比べるとよい。 +11papati (増加), pk ph+1 Þk <1⇔ +1 (減少) CHART 確率の大小比較 pk+1 比 をとり, 1との大小を比べる pk さいころを100回投げるとき, 1の目がちょうどk回出る 2 2章 ⑧ 独立な試行・反復試行の確率 解答 確率を とすると D=100C( 10 C * ( 11 ) * ( 53 ) 100-*-= 7510 100-k =100CkX 反復試行の確率。 6100 ここで Pk+1 100!-599-* == k!(100-k)! 5:00-(+1) pk (k+1)!(99-k)! <PE+D=100C (+) X k! (100-k)(99-k)! 10015100 -k 100-k 5(k+1) 6100 ・・・のkの代わりに +1とおく。 = (k+1)k! (99-k)! 5-599-k pw+1>1とすると 100-k >1 PR 5(k+1) 両辺に 5(k+1)[>0] を掛けて 100-k>5(k+1) これを解くと k<95=15.8... 6 よって, 0≦k≦15のとき Pk <Pk+1 <1 とすると 100-k<5(k+1) Pu 95 <kは 0≦k≦100 を満たす 整数である。 Dwの大きさを棒で表すと これを解いて k>- =15.8··· 6 よって, k16のとき したがって かくかく・・・・・・くかく 16, Pn> Pm+1 |最大 「増加」 減少 P16>p17> >P100 012 よって, w が最大になるのはk= 16のときである。 15 17 16 1100k 99

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English Senior High

英文の方写真汚くて申し訳ないです汗  3パラグラフ目の印のしてあるaround が、和訳中のどの部分に当たるか分かりません。教えていただきたいです。

テーマ 専門性☆☆☆ 英文レベル★★★ 30 DNAはウイルスから? 文 11 What with the threat of bird flu, the reality of HIV, and the genera unseemliness of having one's cells pressed into labour on behalf of something alien and microscopic, it is small wonder that people don't much like viruses. But we may actually have something to thank the little 5 parasites for. They may have been the first creatures to find a use for DNA, a discovery that set life on the road to its current rich complexity 12 The origin of the double helix is a more complicated issue than it might at first seem. DNA's ubiquity -all cells use it to store their genomes - suggests it has been around since the earliest days of life 10 but when exactly did the double spiral of bases first appear? Some think it was after cells and proteins had been around for a while. Others say DNA showed up before cell membranes had even been invented/ The fact that different sorts of cell make and copy the molecule in very different ways has led others to suggest that the charms of the double 15 helix might have been discovered more than once. And all these ideas have drawbacks. "To my knowledge, up to now there has been no ⚫ convincing story of how DNA originated," says evolutionary biologist Patrick Forterre of the University of Paris-Sud, Orsay. 13 Forterre claims to have a solution. Viruses, he thinks, invented » DNA as a way the defences of the cells they infected. Little more than packets of genetic material, viruses are notoriously adept at* avoiding detection, as influenza's annual self-reinvention attests. Forterre argues that viruses were up to similar tricks when life was young, and that DNA was one of their innovations. To some researchers 25 the idea is an appealing way to fill in a chunk of the DNA puzzle. 270 •

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English Senior High

2パラグラフ目の和訳の、 可能性が30~50%あるかもしれないというので の、ので、が英文中のどこからきたのかわかりません、、訳していく中で自然とそうなるんですかね?

テーマ 専門性★☆★ 英文レベル★★★☆ 24 ヘルシンキ宣言 英文 ①② つなぎ方 11 The ultimate ethical standard among the medical profession demands that the physician use every means possible to cure the patient's illness-but does this apply in a clinical trial, which is understood to be experimental, not treatment? In a clinical trial, tension 5 exists at the beginning between gaining knowledge that can be used in the longer term to benefit the public health, and the basic right of the patient to receive treatment. 12 For the scientific profession, the últimate standard is to produce results that withstand scrutiny. For physicians and researchers, the 'gold 10 standard' in testing new drugs is a placebo-controlled study* in which some of the patients receive no treatment at all. These standards present an ethical dilemma as drug-approval agencies tend to lean toward the Kneed for clear scientific data, which is best gained when a drug is tested against a control, or placebo. Furthermore, it becomes harder to 15 convince patients in First World countries to participate in drug trials when there may be a 30-50% chance of receiving only a sugar pill instead of a helpful medicine.

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English Senior High

これの解答が知りたいです。 お願いします!!

01 時制 Section 2 未来のことを表す表現 16 Aya ( ) "I'm sleepy" when she gets up tomorrow morning. 2 is saying 3 will say 4 said D say Tryl The teacher ( 100 未来のことを表 すには? この文を話す人は Aya がいつ “I'm sleepy" と 言うと考えているのだろ 57 ) angry if I'm late for his class. D been (2 is being (3) was 4 will be I am ( I be (2 going to (3) see will 作、 の形 であ day Try! Are you ( I went (2) come 18 Mark ( I has arrived 3 is arriving E Try! He ( ) call her this evening. ) go to see your family this weekend? 3 will cho 4 going to ) at Narita airport tomorrow. 2 arrived 4 has been arriving ) at the hotel tomorrow morning. moraload ( これからするつもりの こと, そうなりそうな ことを表すには? がこれからするつもり であることを示すには? 未来の予定を表す動 詞の形は? tomorrow 「明日」に 注目 I will be arrived 3 must have been arrived 2 is arriving 4 is used to arriving gnime (名古屋工業大) pand) lism of ( I ( ) in Europe next week. I was staying 2 has stayed 3 will be staying ④stayed Try! Patricia ( 1 has waited 2 was waiting 110 Brian was ( his name. 1 on ) an earthquake before he came to Japan. about 3 with 4 off ) for you at the coffee shop after school tomorrow. 3 wait 4 will be waiting E 「まさに··· すると to get on the bus when his mother called nood)だ」 という 〈差し た未来> を表す形 「Brian はまさに・・・ ところだった」とし 味を表せる選択肢 ぼう 未来のある時点での 進行中の動作, 未 の予定を表すには? next week 「来週」 注目 Try! 1. Ken was about to (call) Yumi when she came into the room. of ( 2. Emily was ( Dabout 2 for 語形変化 ) to go out when the telephone rang. 3 used 4 so 120 Batlow used and Jinw low boob yulW Thule fonds nol gd bongam bai ( 金沢工業大) M

Resolved Answers: 1