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Mathematics Senior High

【統計的な推測】 確率変数XiとXってなんなんですか? 何が違うんですか? 頭の悪い質問ですみません🙋

第5問 (選択問題) (配点 16) いてもよい。 問~第7問は,いずれか3問を選択し, 解答しなさい。 以下の問題を解答するにあたっては, 必要に応じて 19ページの正規分布表を用 太郎さんと花子さんには,共通で好きなお菓子がある。 そのお菓子は1個ずつ包 装された5個が1つの箱に入って売られている。そのお菓子にはある割合で特別な 味付けのものが混じっている。 特別な味付けのお菓子は無作為に箱に入れられ,1 つの箱に1個もないこともあれば2個以上のときもある。特別な味付けのお菓子の の割合といわれているが, 2人は常々もっと少ない割合ではないかと感 そこで2人は,友達や家族の力も借りて特別な味付けのお菓子の個数の 情報を集め、 検討してみることにした。 1 割合は 2人は調査を始める前に,有意水準と棄却域について自分たちなりの考えをまと 止めておくことにした。 数学Ⅱ・数学B 数学 C 2人は, どの包装についても確率で特別な味付けのお菓子が, 確率 1-で普 通のお菓子が入っているように0 <<1である定数を定められると仮定して p=1/3であることを帰無仮説 = 1/3であることを対立仮説として有意水準5%の 両側検定で判定することにした。 2人は情報を集めた 80 箱分400個のお菓子における特別な味付けのお菓子の個 数が70個であることを確かめた。 どの包装についても確率 1/3で特別な味付けのお 菓子が入っており,確率 で普通のお菓子が入っていると仮定する。 包装1個ご とに1以上400以下の整数を1つずつ割り振り, 数えごとに確率変数X を, 数 えが割り振られた包装1個が特別な味付けのお菓子だったら値 1, 普通のお菓子だ ったら値0をとる確率変数として定める。 さらに X = X1+X2+ ・・・ + X 400 により確 率変数Xを定める。 X, Xの期待値 E (Xi), F(X)について E (X)= コ (i=1, 2, ..., 400) であり E (X)= シス である。 また, Xi, X の分散 V(X), 太郎 : 模擬試験などで使われる偏差値は50+ 計算されるそうだよ。 (個人の得点) (平均点)、 (標準偏差) ×10 で (X)について V(X)= セ ソタ (i=1, 2,.., 400) であり V(X)= チッ で 花子: 正規分布表から標準正規分布における有意水準 5% の両側検定におけ 96 る棄却域は ア イウ 以下または ア イウ 以上だから, 一般の正規分布における有意水準 5% の両側検定における棄却域は, 偏差値で表現すればエオ カ 以下または キク ある。 400 を十分に大きい数とみてXの確率分布は期待値 シス 標準偏差 テ の正規分布で近似できる。 よって実際に特別な味付けのお菓子が400個中 70 個だ ったことから有意水準5%の両側検定により ト 。 以上と 400- なるね。 30 の解答群 69 太郎: 模擬試験について調べるときに受験者から無作為に1人選ぶとして, そ れなりに選ばれそうな範囲だね。 4. 6 ⑩仮定を疑わせる結果となった 花子: 私たちはあまり強い表現は用いないことにして, 数値が棄却域に属する ときは 「仮定を疑わせる結果となった」, 棄却域に属さないときは 「仮 定を疑わせる結果とはならなかった」と述べることにしよう。 ①仮定を疑わせる結果とはならなかった 0405 1.96×10+50 =-19,650 (数学Ⅱ・数学B 数学C第5問は次ページに続く。) 20.95 69,6 -16- (数学Ⅱ・数学B 数学C第5間は次ページに続く。) -17- 400

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English Junior High

根気強く英文読める方お願いします🙏 この問題の(2)は合っているでしょうか。 違うのなら違う理由も教えてくれるととても嬉しいです😭お願いします

TREK [3] 9分 10 2935 受験 難問 次の英文を読んで、あとの(1)~(3)の問いに答えなさい。('13 神奈川県) Brian is a high school student from America. He joins a *volunteer club at school. Last Sunday he went to a "nursing home with his friends to teach the old people living there about computers. Mr. Doi, one of the old people there, is talking with Brian in a room at the nursing home. sdgoon 5 Mr. Doi: Hello, I am Kazuo Doi. Nice to meet you. Thank you for coming today. Nice to meet you, too. My name is Brian. What can I do for you, Mr. Doi? Brian Mr. Doi: Can you teach me how to send e-mails, Brian? Brian Mr Doi : Brian Of course, I can. Do you want to send an e-mail to anyone? Yes. One of my friends lives in a nursing home in Hokkaido. I have not seen her for a long time, but she sent me a "postcard last summer. She wrote her *e-mail address on the postcard. I want to send her an e-mail to say "Hello," but I don't know how to do it. salad : Don't worry, Mr. Doi. It is not difficult to send an e-mail. Tellsafi Two days later, Brian and his friend Yumi are talking in their classroom. 15 Yumi Brian Yumi Brian : 20 Yumi : Brian, I hear you went to a nursing home last Sunday, right? : Yes. I went there to do *volunteer work with my friends. : That's great. What did you do there? odon of d We taught the old people living there about computers. They were very glad to learn how to use computers. What did you teach them about computers? I taught some old people how to send e-mails. Mr. Doi was one of them and Brian : his English was good. Read this e-mail from him. He sent it to me yesterday. Brian and Yumi are reading the e-mail from Mr. Doi. Hello, Brian, 100 living here enjoy it. I am sending this e-mail with a picture of me *in front of a microphone." Her e-mail was *encouraging to me. Now I have found an important thing to me. It is to try new things. When I find a new thing to try, I will send you an e-mail again. 35 Kazuo Doi After reading the e-mail from Mr. Doi, Yumi and Brian are talking again. Yumi Mr. Doi enjoys *communication by e-mail. Brian Yes. I'm very happy to hear that. Yumi You did a good thing, Brian. 40 Brian Yumi Brian 45 Yumi : Brian Yumi 50 Brian Yumi 55 Brian T Thank you for coming last Sunday. Do you remember my friend who sent me a postcard with her e-mail address? After I sent her an e-mail, she sent me an e-mail back soon. Using e-mail is a lot of fun. In her e-mail she said, "Now I am trying a new thing in my nursing home. I am *in charge of an announcement over the PA system for 10 minutes in the morning. During this time, I read the *newspaper of the day and make some *comments. Many people Yumi Thank you, Yumi. I went to the nursing home to teach the old people there about computers, but I also learned something there. : What is it, Brian? Mr. Doi knew his friend was in charge of an announcement over the PA system, and then he started to think about trying a new thing, too. I know. Mr. Doi says, "encouraging" in his e-mail. Right. When I taught him how to send e-mails, he said, "I have wanted to learn a lot of things. Using e-mail is one of them." I see. You want to say the e-mail from his friend made him more *positive, right? That's right. First, Mr. Doi learned how to send e-mails and wrote an e-mail to his friend. Next, he got an e-mail from his friend and knew his friend was trying a new thing. Now Mr. Doi ( ) to him. Mr. Doi thinks that it is to try new things. We can say it is good to know how our friends are doing. It is wonderful to *communicate with other people, Brian. : I think so, too. Communicating with other people can make people more positive. I learned that from volunteer work in the nursing home. : I hope that Mr. Doi can find a new thing to try. Please tell me when you get an e-mail from him again. (注) volunteer club ボランティアクラブ nursing home 老人ホーム send〜 〜を送る postcard 絵はがき e-mail address 電子メールアドレス (約 685 語) volunteer work ボランティア活動 in charge of an announcement over the PA system 館内放送を担当して comments コメント in front of a microphone マイクの前の communication by e-mail 電子メールによるコミュニケーション communicate with ~ ~とコミュニケーションをとる newspaper encouraging 励みになる positive 前向きな

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English Senior High

この文章の➍なんですが、 if the other personがどうして他の人ではなく前の文に出てきている話しかけた人になるんですか?

2 How to Make Friends When you're getting started at a new school or in some oth it's sometimes hard to make friends. It's normal to be g people feel they could not possibly start a relationship with anyone and as is often the case with people put into new situations. Sometime environment same shyness chance and 5 would rather be alone than try to make new friends. But the are that most of the people around you feel the same waiting for someone else to act on their wish to communicate someone new. to yours. og adt no are with 友達 達こ ● When you're in a situation with new people, the first step is to look 10 around at them. Then pick out someone who has a style that is similar It could be their hair, clothing, bag, or shoes. 29100 ni Once you've singled out a potential new friend, it's important to club, you have know what to talk about. If you're in the same school or common topics. If not, you can say something nice about the person, or 5 ask what they like and see what you have in common with them. Don't 犯 be afraid to simply introduce yourself to someone nearby. You may not see them as a possible friend at first glance, but talking to them may you. surprise you. 4 If the other person doesn't become your friend, it's OK. Don't give up! If you are anxious to make a friend, it may not happen right away. There's no need to make haste. A deep breath should put you at ease. Then you can find someone new and start again. turn to に頼るの方へ向 for the financial support He 食は金銭的支援を私に

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English Junior High

おしえてくださーい!!

(2)これはサムによって撮られた写真です。 32点 次の日本文にあう英文になるように, who または whichを 1 使って、 に適する語を書きなさい。 (1) (1) 彼にはアフリカに住んでいる友達がいます。 He has a lives in Africa. (2) P (3) was taken by Sam. (4) The is playing the piano is Jane. The is on the table is mine. This is a (3) ピアノをひいている女の子はジェーンです。 (4) テーブルの上にある辞書は私のです。 2 次の日本文にあう英文になるように,( )内の語 (句) を並 べかえ, 記号で答えなさい。 (1) 私は速く泳ぐ男の子を知っています。 I know (ア swims イ the boy ウ fast エ who). 2 (1) (2) (ア on イthe building ウ stands エ which) the hill is our school. (3) (4) (2) 丘の上に建っている建物は私たちの学校です。 (3)これは動くことのできる人形です。 This is (ア which イ move ウa doll エ can). (4) そのパーティーに招待された男性はベンでした。 The man (ア invited イwho ウ to エ was) the party was Ben. 3 次の2文を who または which を使って1つの文にし, に適する語を書きなさい。 (1) Ned is a boy. He has brown eyes. Ned is a has brown eyes. (2) My father told us the story. It was very exciting. My father told us the story exciting. (3) The cake is big. It was made by Yuki. The cake made by Yuki is big. 4 次の日本文を関係代名詞を用いて英文にしなさい。 (1) この手紙を書いた女の子はトム (Tom) の妹です。 (2) きのうジム (Jim) によって買われた本はおもしろい。 4 very E

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