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数学 大学生・専門学校生・社会人

確率の勉強をしている学生なのですが、この問題が分かりません。どなたか教えていただけませんか。

練習問題 1.8 (積率母関数) X を非負の確率変数とし, x(t) = Eetx は全てのt∈ に対して有限であると仮定する.さらに,全てのt∈ R に対し E [XetX] < ∞ であると仮定する.この練習問題の目的は, '(t) = E [Xetx] で あり、特に'(0)=EX であることを示すことである。 微分の定義, すなわち次式を思い出そう. 4'(t) = lim x(t) - (s) lim st t-s st EetxEesx t-s 「etx = lim E st t-s 上式の極限は,連続な変数sについて取っているが,t に収束する実数列{8}n=1を 選ぶことができ, 次を計算すればよい. 「etx e³n X lim E sn→t t-Sn これは、次の確率変数の列 etx -enx Yn = t-Sn の期待値の極限を取っていることになる.もしこの極限が, t に収束する列{Sn}=1 の選び方によらず同じ値になるならば、この極限も limotE [ex と同じで,そ れは '(t) である. .tx sx ← -e t-s 解析学の平均値の定理の主張は,もしf(t) が微分可能な関数ならば、任意の実数 s ともに対し,stの間の値の実数0で次を満たすものが存在するというものである. f(t)-f(s) =f' (0) (t-s). もしweΩを固定し,f(t) = etx(w) を定義すると,この式は, etX(w)_esx(w)=(t-s) X (w)e (w)x(w) (1.9.1) となる.ただし,(ω) はωに依存する実数 (すなわち,tとsの間の値を取る確率変 数)である. (i) 優収束定理 (14.9) (191) 式を使って,次を示せ. lim EY = Elim Yn=E [XetX] . (1.9.2) n→∞ [n→∞ このことから,求める式 4'(t) [XetX ] が導かれる. (ii) 確率変数 X は正の値も負の値も取り得、全てのt∈Rに対し Eetx < かつ E [|X|etX] < ∞ であると仮定する。 再度 '(t) = E [XetX] を示せ(ヒント: (1.3.1) 式の記号を使って X = X + - X- とせよ . )

未解決 回答数: 1
英語 中学生

1.(1)②、(2)②、(3)①、(4)③④⑧⑩、(5)③④⑤、(6)③④、(7)①④⑥、(8)①②③⑥、(9)の解説をして欲しいです。3枚目が答えです

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未解決 回答数: 0
英語 高校生

7行目の文の文構造教えて欲しいです🙏

25 The Maya loved cacao so much they used the beans as currency. They also believed it is good for you which many people still say today about cacao's most famous byproduct, chocolate. 物 In fact, cacao, also called cocoa, which is the not-so-secret ingredient of chocolate, s contains hundreds of bioactive* plant compounds, including flavanols*, which have with numerous possible health benefits. been (あ "Research on the bioactive components of the cacao bean pretty consistently shows that if you're consuming greater amounts of flavanols you see mechanisms (linked to heart disease are, by and large, favorably impacted," says Howard Sesso, an 10 epidemiologist at the Harvard T.H. Chan School of Public Health and Brigham and Women's Hospital. This includes improvements in blood pressure and cholesterol levels. But while cacao does have intriguing potential to boost heart health and brain function, no science supports eating large amounts of chocolate as a health food 15 sorry chocoholics. Here's why. - Spurred by chocolate's popularity, numerous studies have explored how the natural chemical compounds found in cocoa might be good for human health. While some have suggested that less than an ounce of dark chocolate might 本単位 VT improve heart health, much of the research doesn't involve eating actual chocolate not A but rather BAというよりむしろB 20 but rather its components. In 2022, (2) Sesso and colleagues found compelling evidence for the benefits of 説得力のある flavanols. In a clinical trial of 21,000 adults, they found that the half of the group that took 500mg of cocoa flavanol supplements daily had a significantly lower risk of death from cardiovascular disease* than those who had taken a placebo. Flavanols may also boost insulin sensitivity, according to some studies, which might be helpful in reducing the risk of type 2 diabetes. But the results aren't conclusive, and those at risk of diabetes might be () (to choose a cacao-inspired

未解決 回答数: 1
地理 高校生

サシについてなのですが、なぜシがアラブ首長国連邦なのですか? 解説を読んだのですが、FとGの説明は合ったのですが、サシの説明が個人的に蛍光ペンを引いたところだけのように感じ、サシをどのように解けば正解に辿り着けるのかが知りたいです。 どなたかすみませんがよろしくお願いします... 続きを読む

地理総合, 地理探究 問4 ジロウさんとハナコさんは,アラブ首長国連邦が第3次産業の振興に力を入れ ていることを知り, 国境を越えてサービスのやり取りを行うサービス貿易につい て調べて次の表を作成した。 表1は, 世界の保険・年金サービス, 旅行サービ ス収入のいずれかにおける上位国を示したものであり,FとGは,保険・年金 サービス, 旅行サービスのいずれか,サとシは,アラブ首長国連邦とアメリカ合 衆国のいずれかである。 旅行サービスとアラブ首長国連邦との組合せとして最も 適当なものを,後の①~④のうちから一つ選べ。 4 表1 保険・年金, 旅行サービスの収入上位国 F (7 G旅行 1位 イギリス サアラブ 2位 サ スペイン 3位 シアメリカ イギリス 4位 アイルランド シ 5位 ドイツ フランス 6位 フランス イタリア 7位 スイス トルコ 統計年次は2022年。 UNCTAD の資料により作成。 ① ② ③ (4 ・旅行サービス F FL G G アラブ首長国連邦 サ シ サ シ

解決済み 回答数: 1