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Mathematics Undergraduate

5つ問題があります。解答がわかる方お願いします

8 課題 以下の内容を読み進めて、5つの問題に答えてください。 計算の際は、電卓やRを使っていただいて構いません。 ある選挙において, 候補者は二人 (AさんとBさんとします) で, 投票者の全員がどちらかに投票しているとします。 話 を聞いた人をn, そのうちAさんに投票する人をk, Aさんの得票率をRとすると,以下のような確率モデルが書けます。 \[ P(X=k) = 0_n C_k R^k(1-R)^{n-k} \] 1. ここから 得票率Rが50%の時, 10人に話を聞いて (n=10), A投票する人が0人(k=0) という場合が起こる確率を求 めてください。 2.Rとnは同じでAに投票する人が10人の時の確率を求めてください。 3. Rとnは同じでAに投票する人が5人の時の確率を求めてください。 上記の確率分布は二項分布と呼ばれ、平均 \(np\), 分散 \ (np (1-p)\) です。 中心極限定理からnが十分に大きい時, 正規 分布に従うことがわかっています。 正規分布は以下のように範囲ごとに確率が決まっていま す。 ・標準偏差 (\(\sigma\)) 平均 (\(\mu\)) 1シグマ範囲 \(\mu\sigma \le X \le \mu + \sigma\) 確率68.3% 2シグマ範囲 \ (\mu-2\sigma \le X \le \mu + 2\sigma\) 確率 95.4% 3シグマ範囲 \ (\mu-3\sigma \le X \le \mu + 3\sigma\) 確率99.7% • \(\mu - 1.96\sigma \le X \le \mu +1.96\sigma\) の 範囲が確率95%です J 3 a 8 これを使うと、真の得票率Rは95%の確率で \[r-1.96 \sqrt{\frac{r(1-r)}{n}}\le R \ler + 1.96\sqrt {\frac{r(1-r)){n}} \] に含まれると計算できます (詳しい計算は省略します)。 4.今,500人に出口調査をして、 Aの得票率が58%だったとします。 この時、真の得票率Rはどんな範囲に入ります か? 5. この計算結果から、 選挙の結果について言えることはなんですか?

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Mathematics Undergraduate

5つ問題があります。わかる方お願いします

16:48 8 課題 以下の内容を読み進めて、5つの問題に答えてください。 計算の際は、電卓やRを使っていただいて構いません。 ある選挙において, 候補者は二人(AさんとBさんとします) で, 投票者の全員がどちらかに投票しているとします。 話 を聞いた人をn, そのうちAさんに投票する人をk, Aさんの得票率をRとすると以下のような確率モデルが書けます。 \[ P(X=k) = {_nC_k R^k(1-R)^{n-k} \] 1. ここから 得票率Rが50%の時, 10人に話を聞いて (n=10), A投票する人が0人 (k=0) という場合が起こる確率を求 めてください。 2.Rとnは同じでAに投票する人が10人の時の確率を求めてください。 3.Rとnは同じでAに投票する人が5人の時の確率を求めてください。 上記の確率分布は二項分布と呼ばれ、平均 \(np\), 分散 \ (np (1-p)\) です。 中心極限定理からnが十分に大きい時、 正規 分布に従うことがわかっています。 正規分布は以下のように範囲ごとに確率が決まっていま す。 ・標準偏差(\(\sigma\)), 平均 (\(\mu\)) ■1シグマ範囲 \(\mu\sigma \le X \le \mu + \sigma\) 確率68.3% ■2シグマ範囲 \(\mu-2\sigma \le X \le \mu + 2\sigma\) 確率95.4% ■3シグマ範囲 \(\mu-3\sigma \le X \le \mu + 3\sigma\) 確率99.7% • \(\mu - 1.96\sigma \le X \le \mu +1.96\sigma\) の 範囲が確率95%です a 三 [24] 8・ 9 これを使うと、真の得票率Rは95%の確率で \[r-1.96 \sqrt(\frac{r(1-r)}{n}} \le R \ler + 1,96\sqrt{\frac{r(1-r)}{n}} \] に含まれると計算できます (詳しい計算は省略します)。 4.今,500人に出口調査をして、 Aの得票率が58%だったとします。 この時、真の得票率Rはどんな範囲に入ります か? 5. この計算結果から、 選挙の結果について言えることはなんですか?

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English Junior High

"How did you feel”が答えですが "How were you feeing”ではいけない理由を教えてください。

次の英文は、中学生の健(Ken) と ALT(外国語指導助手)のジャック (Jack) の対話です。 これを読み、次の問いに答えなさい。 ('16 和歌山県 ) Jack: Hello, Ken. How are you? Ken: I'm tired. I finished my homework late last night. Jack: What was your homework? Ken: It was an English essay. My English teacher, Mr. Tanaka, told me to write an essay about my winter vacation. It was very hard. I needed some advice to write sentences. Jack: I see. I can give you some advice. Have you ever kept a diary? Ken Yes. I keep a diary in Japanese. Jack: That's good. Then, why don't you keep a diary in English? Your writing skills will become better. Ken : I don't think I can! Keeping a diary in English takes a lot of time. Jack: Really? Then tell me what you did last Sunday. Ken Well.... I went fishing with my father and caught five fish. Jack: ( when you caught them? Ken: I felt very happy. They were big and my mother cooked them at home. Jack: Great! You should write that story in English. You can write about things you did. It's also important to write about your feelings in your diary. It sounds difficult at first, but you can write a few sentences every day. Ken It'll be difficult for me to write English sentences every day. But I'll try. Jack: If you have a problem, I'll help you. du Ken Thank you, Jack. I'll write about my feelings in my diary in English. Jack: Good. I think you can do it! (E) late < essay f E advice sentence keep a diary 日記をつけている kept <keep why don't you ~? ~してはどうですか skill go fishing 魚釣りに行く feeling diary B busigamuti opot caught < catch (つかまえる) の過去形 対話の流れに合うように, 文中の〔 Call und 〕にふさわしい表現を考えて、 英語で書きなさい

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English Senior High

教えて下さると嬉しいです( •̥-•̥ )

A. Circle the correct answer for each question. likely to be jealous of someone. 1. You are more 2. Which do many people decorate at Christmas time? 3. Which are people more accustomed to? a. rich a. a feast b. a tree a. spending money b. receiving awards a. an empire b. a rifle a. an insect b. water a. help it b. ruin it 6. What would profit do for a business? a. excited b. confused 7. Which would people rather be? a. a contract b. a feast 8. Which would you invite friends to share with you? a. a recruit b. a contract 9. Which would you sign? a. being punished b. getting a reward 10. Which would few people enjoy? B. Complete the paragraph with items from the box. Two items are extra. Which of these is a weapon? 4. 5. Which of these flows? discovered resembled establishing rights faced status by Roy's s grief the rest of Many people change countries during their life, but one man has (1) (2) son and (10) heir took over This surprised people in the UK, who believed they had the (5) . Bates and (6) to leave the platform. However, Roy (8). in the sea to contain (3) that would be used to fight off invaders. After the war, the soldiers left these platforms and they were forgotten - until 1967. In that year, a British man, Roy Bates, one of the platforms and announced he had started his own country, (4) called Sealand. b. poor himself by his own country. During World War II, the UK built a number of artificial platforms made a name for weapons the people on the island (his family), (7) In 1968, a court decided that the UK had no power over Sealand. Just like other places with the that the platform was in international waters. to the platform. orders of a country, Sealand, has its own stamps, coins, and passports. It is controlled 'Prince' Michael, and is home to a large Internet business. 11 15 69

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English Senior High

過去問の全15問の解説を宜しければして頂きたいです!!お願い致します。

3 3 [] [] ーロコ 2023 推薦 公募制推薦入試A・B 【適性検査】 文系学部 公募制推薦入試 A・B 文系学部 Ⅰ 次の英文の 選びなさい。 (1) This cheese is made ( a. about b. from c. one d. to b. between c. by d. of (2) Sally is very good () teaching tennis: she is one of the best coaches in the tennis school (3)( a. Economics b. Education C History d. Politics (4) English is a ( it. a. careless b. major c. partial d. regional ) is the area of study that is concerned with teaching and learning. (9) My father ( swimming instead. a. ought to b. should c. used to d. will a 内に入れるのにもっとも適当なものをa~dの中から1つ so as b so that C such as d. such that 00) Nowadays, millions of robots are used in various fields ( manufacture and the health industry b. in case goat's milk. n からできている C unless d. whether ) international language: people around the world speak 01) Daniel could not dance, but he pretended ( lessons. -1- ) play baseball when he was young. Now, he enjoys a, almost nothing b. as far as I know c. quite wrong d. what is called 12 Student A: Do you think you can use dictionaries in Ms. Benson's exam? ). I intend use this one. Student B: Yes, ( ) car -3- ) he had taken dance 推 (5) According to recent research, female elephants ( in the family. a. care b c. play d. sing (6) This airline allows their passengers ( them. a. of taking on b. take on c. taken on d. to take on 推 nurse (7) The sign says that () from here, that rock looks like a lion. a saw b. see C seeing d. seen (13) a. however b. wherever c. whichever d. whoever (8) Here are two different kinds of cake. You can choose ( want. I'll have the other. Mr. Tanaka ( a. Bye, for now. b. How do you do? c. It's been nice talking with you. d. What do you do? -21 00 A: I like Japanese culture. (15) ) two pieces of baggage with Ms. Davis: Excuse me. Are you Mr. Tanaka? I'm Annabel Davis. Nice to meet you. ) an important ) I'm glad to meet you. B:( ) I think Kabuki is wonderful. a. I am, too. b. Neither do I. c. So do L d. That's unlikely. c. one d. too Server: Would you like coffee or tea? Customer Actually, I'd like ( a both b, either ) one you ). Tea with my meal and coffee after

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English Senior High

(5)について質問です。 答えは(A)ですが、自分は"否定的な観点から"で(B)のdenyingを選びました。なぜ(B)が違うのでしょうか。文法的に合わないからなのか英文の意味的に違うのか教えてください

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