:HL["https://2vcomivapkynmsnb.public.blob.vercel-storage.com/problems/263/image11-Q8RxYSobZWRCAjQWsmMSbi7Z0H9023.png","image"] 26:["$","span","p0-0-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

- 10

"}}] 27:["$","span","p0-0-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

- 8

"}}] 28:["$","span","p0-0-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

- 6

"}}] 29:["$","span","p0-0-t0-m11",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

- 4

"}}] 2a:["$","span","p0-0-t0-m13",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

- 2

"}}] 2b:["$","td","t0-1-r0c4",{"rowSpan":"$undefined","colSpan":"$undefined","className":"px-3 py-1.5 align-middle text-center","style":{"borderLeft":"1px solid #333","borderRight":"none","borderTop":"2px solid #333","borderBottom":"1px solid #333","backgroundColor":"$undefined"},"children":["합계"]}] 49:T506,

\displaystyle \frac{1}{2}

4a:T506,

\displaystyle \frac{1}{4}

2c:["$","tr","t0-1-r1",{"children":[["$","td","t0-1-r1c0",{"rowSpan":"$undefined","colSpan":"$undefined","className":"px-3 py-1.5 align-middle text-center","style":{"borderLeft":"none","borderRight":"1px solid #333","borderTop":"1px solid #333","borderBottom":"2px solid #333","backgroundColor":"$undefined"},"children":["",["$","span","t0-1-r1c0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{P} ( \\mathit{X} = x )

"}}],""]}],["$","td","t0-1-r1c1",{"rowSpan":"$undefined","colSpan":"$undefined","className":"px-3 py-1.5 align-middle text-center","style":{"borderLeft":"1px solid #333","borderRight":"1px solid #333","borderTop":"1px solid #333","borderBottom":"2px solid #333","backgroundColor":"$undefined"},"children":["",["$","span","t0-1-r1c1-t0-m1",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$49"}}],""]}],["$","td","t0-1-r1c2",{"rowSpan":"$undefined","colSpan":"$undefined","className":"px-3 py-1.5 align-middle text-center","style":{"borderLeft":"1px solid #333","borderRight":"1px solid #333","borderTop":"1px solid #333","borderBottom":"2px solid #333","backgroundColor":"$undefined"},"children":["",["$","span","t0-1-r1c2-t0-m1",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$4a"}}],""]}],"$L4b","$L4c"]}] 4d:T480,

\mathrm{E} \left( X \right) = - 1

2d:["$","p","p2-0",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["",["$","span","p2-0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$4d"}}],"일 때, ",["$","span","p2-0-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{\\mathrm{V}} \\mathit{\\left( aX \\right)}

"}}],"의 값은? (단, ",["$","span","p2-0-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

a

"}}],"는 상수이다.) [3점]\n① ",["$","span","p2-0-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

12

"}}],"\n② ",["$","span","p2-0-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

15

"}}],"\n③ ","$L4e","\n④ ","$L4f","\n⑤ ","$L50",""]}] 51:T696,

a + b + c + d < 10

30:["$","span","p0-1-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$51"}}] 31:["$","p","p0-2",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["① ",["$","span","p0-2-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

10

"}}],"\n② ",["$","span","p0-2-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

12

"}}],"\n③ ",["$","span","p0-2-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

14

"}}],"\n④ ",["$","span","p0-2-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

16

"}}],"\n⑤ ",["$","span","p0-2-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

18

"}}],""]}] 52:T763,

a _{1} \times a _{2}

33:["$","span","p0-0-t0-m11",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$52"}}] 53:T883,

a _{3} + a _{4} \geq 16

34:["$","span","p0-0-t0-m13",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$53"}}] 54:T509,

\displaystyle \frac{1}{14}

35:["$","span","p0-0-t0-m15",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$54"}}] 55:T509,

\displaystyle \frac{3}{35}

36:["$","span","p0-0-t0-m17",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$55"}}] 56:T509,

\displaystyle \frac{1}{10}

37:["$","span","p0-0-t0-m19",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$56"}}] 57:T509,

\displaystyle \frac{4}{35}

38:["$","span","p0-0-t0-m21",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$57"}}] 58:T509,

\displaystyle \frac{9}{70}

39:["$","span","p0-0-t0-m23",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$58"}}] 3a:["$","p","p0-1",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":[["$","img","p0-1-i2",{"src":"https://2vcomivapkynmsnb.public.blob.vercel-storage.com/problems/263/image11-Q8RxYSobZWRCAjQWsmMSbi7Z0H9023.png","alt":"","className":"problem-img my-[1em] block","style":{"--img-w":"53cqw"}}]]}] 3d:["$","span","p0-0-0-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

X , Y

"}}] 3e:["$","span","p0-0-0-t0-m11",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

k

"}}] 59:T7ac,

{\mathrm{P}} \left( X \leq 11 \right) = {\mathrm{P}} \left( Y \geq 23 \right)

5a:T918,

{\mathrm{P}} \left( X \leq k \right) + {\mathrm{P}} \left( Y \leq k \right) = 1

3f:["$","p","p0-0-1",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["(가) ",["$","span","p0-0-1-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$59"}}],"\n(나) ",["$","span","p0-0-1-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$5a"}}],""]}] 5b:T4bd,

\mathrm{P} \mathit{\left( 0 \leq Z \leq z \right)}

40:["$","div","t0-1",{"className":"mb-[1.2em] overflow-x-auto","children":["$","table",null,{"className":"w-auto border-collapse text-[15px]","children":["$","tbody",null,{"children":[["$","tr","t0-1-r0",{"children":[["$","td","t0-1-r0c0",{"rowSpan":"$undefined","colSpan":"$undefined","className":"px-3 py-1.5 align-middle text-center","style":{"borderLeft":"none","borderRight":"1px solid #333","borderTop":"2px solid #333","borderBottom":"1px solid #333","backgroundColor":"$undefined"},"children":["",["$","span","t0-1-r0c0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

z

"}}],""]}],["$","td","t0-1-r0c1",{"rowSpan":"$undefined","colSpan":"$undefined","className":"px-3 py-1.5 align-middle text-center","style":{"borderLeft":"1px solid #333","borderRight":"none","borderTop":"2px solid #333","borderBottom":"1px solid #333","backgroundColor":"$undefined"},"children":["",["$","span","t0-1-r0c1-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$5b"}}],""]}]]}],["$","tr","t0-1-r1",{"children":[["$","td","t0-1-r1c0",{"rowSpan":"$undefined","colSpan":"$undefined","className":"px-3 py-1.5 align-middle text-center","style":{"borderLeft":"none","borderRight":"1px solid #333","borderTop":"1px solid #333","borderBottom":"1px solid #333","backgroundColor":"$undefined"},"children":["",["$","span","t0-1-r1c0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

0.5

0.1915

"}}],""]}]]}],"$L5c","$L5d","$L5e"]}]}]}] 5f:T748,

\mathrm{P} \mathit{\left( X \leq k \right)} + \mathrm{P} \mathit{\left( Y \leq k \right)}

60:T600,

{\mathrm{E}} \left( X \right) + \sigma \left( Y \right)

41:["$","p","p2-0",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["오른쪽 표준정규분포표를 이용하여 구한 ",["$","span","p2-0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$5f"}}],"의 값이 ",["$","span","p2-0-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

0.1336

"}}]," 일 때, ",["$","span","p2-0-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$60"}}],"의 값은? [4점]\n① ","$L61","\n② ","$L62","\n③ ","$L63","\n④ ","$L64","\n⑤ ","$L65",""]}] 66:T463,

f : X \rightarrow Y

44:["$","span","p0-0-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$66"}}] 67:T68a,

x _{1} . x _{2}

68:T765,

x _{1} < x _{2}

45:["$","p","p0-1",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["(가) 집합 ",["$","span","p0-1-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

X

"}}],"의 임의의 두 원소 ",["$","span","p0-1-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$67"}}],"에 대하여\n",["$","span","p0-1-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$68"}}],"이면 ","$L69","이다.\n(나) ","$L6a","\n(다) ","$L6b",""]}] 46:["$","span","p0-0-t0-m15",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

2

"}}] 47:["$","p","p0-1",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["[실행 ",["$","span","p0-1-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

1

"}}],"] 한 개의 동전을 던져 앞면이 나오면 주머니 ",["$","span","p0-1-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{A}

"}}],"에서 임의로 ",["$","span","p0-1-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

2

"}}],"개의 공을 꺼내어 주머니 ",["$","span","p0-1-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{B}

"}}],"에 넣고, 뒷면이 나오면 주머니 ",["$","span","p0-1-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{A}

"}}],"에서 임의로 ",["$","span","p0-1-t0-m11",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

3

"}}],"개의 공을 꺼내어 주머니 ",["$","span","p0-1-t0-m13",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{B}

"}}],"에 넣는다.\n[실행 ","$L6c","] 주머니 ","$L6d","에서 임의로 ","$L6e","개의 공을 꺼내어 주머니 ","$L6f","에 넣는다."]}] 70:T53c,

\displaystyle \frac{q}{p}

48:["$","p","p0-2",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["[실행 ",["$","span","p0-2-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

2

"}}],"]가 끝난 후 주머니 ",["$","span","p0-2-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{B}

"}}],"에 흰 공이 남아 있지 않을 때,\n[실행 ",["$","span","p0-2-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

1

"}}],"]에서 주머니 ",["$","span","p0-2-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{B}

"}}],"에 넣는 공 중 흰 공이 ",["$","span","p0-2-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

2

"}}],"개이었을 확률은 ",["$","span","p0-2-t0-m11",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$70"}}],"이다. ","$L71","의 값을 구하시오. (단, ","$L72","와 ","$L73","는 서로소인 자연수이다.) [4점]"]}]

2022년-10월-고3-수학문제(확통)