Opiskelupolut
Suositellut opiskelupolut
Juuri 10 Todennäköisyys ja tilastot
Opiskelupolut
1.1 Tilastomuuttuja ja keskiluvut (1 h)
|
AS 5-6 |
101 102 103 104 |
|
AS 7-8 |
101 102 103 104 105 106 107 108 110 112 113 114 |
|
AS 9-10 |
101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 |
1.2 Tilastollisen aineiston havainnollistaminen (1 h)
|
AS 5-6 |
122 123 124 125 126 |
|
AS 7-8 |
122 123 124 125 126 127 128 129 130 131 132 133 134 135 137 138 |
|
AS 9-10 |
122 123 124 125 126 127 128 129 130 131 132 133 134 135 137 138 139 140 |
1.3 Hajontaluvut ja otanta (1 h)
|
AS 5-6 |
142 143 144 145 146 147 149 |
|
AS 7-8 |
142 143 144 145 146 147 148 149 150 151 152 154 155 |
|
AS 9-10 |
142 143 144 145 146 147 148 149 150 151 152 154 155 156 157 158 159 160 |
2.1 Todennäköisyyden peruskäsitteitä (1 h)
|
AS 5-6 |
201 202 203 204 205 |
|
AS 7-8 |
201 202 203 204 205 206 207 208 209 210 211 212 213 214 217 |
|
AS 9-10 |
201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 221 |
2.2 Tilastollinen ja geometrinen todennäköisyys (1 h)
|
AS 5-6 |
222 223 224 225 226 |
|
AS 7-8 |
222 223 224 225 226 227 228 229 230 231 232 233 234 |
|
AS 9-10 |
222 223 224 225 226 227 228 229 230 231 232 233 234 |
2.3 Kertolaskusääntö ja tapahtumien riippumattomuus (1 h)
|
AS 5-6 |
243 244 245 246 247 |
|
AS 7-8 |
243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 |
|
AS 9-10 |
243 244 245 246 247 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 264 |
2.4 Yhteenlaskusääntö (1 h)
|
AS 5-6 |
265 266 267 268 269 |
|
AS 7-8 |
265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 281 |
|
AS 9-10 |
265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 281 282 284 286 287 |
3.1 Tuloperiaate ja permutaatiot (1 h)
|
AS 5-6 |
301 302 303 304 305 |
|
AS 7-8 |
301 302 303 304 305 306 307 308 309 310 311 312 313 315 |
|
AS 9-10 |
301 302 303 304 305 306 307 308 309 310 311 312 313 315 316 317 318 320 |
3.2 Osajoukot eli kombinaatiot (1 h)
|
AS 5-6 |
321 322 323 324 325 |
|
AS 7-8 |
321 322 323 324 325 326 327 328 329 330 331 332 333 334 336 |
|
AS 9-10 |
321 322 323 324 325 326 327 328 329 330 331 332 333 334 336 337 338 340 |
3.3 Todennäköisyyksiä ja kombinatoriikkaa (1 h)
|
AS 5-6 |
342 343 344 345 346 |
|
AS 7-8 |
342 343 344 345 346 347 348 349 350 351 353 354 356 357 358 |
|
AS 9-10 |
342 343 344 345 346 347 348 349 350 351 353 354 356 357 358 359 361 362 |
3.4 Toistokoe (1 h)
|
AS 5-6 |
364 365 366 367 368 |
|
AS 7-8 |
364 365 366 367 368 369 370 371 372 373 374 375 377 378 |
|
AS 9-10 |
364 365 366 367 368 369 370 371 372 373 374 375 377 378 379 380 381 383 |
4.1 Diskreetti jakauma (1 h)
|
AS 5-6 |
401 402 403 404 405 |
|
AS 7-8 |
401 402 403 404 405 406 407 408 409 410 411 412 413 414 |
|
AS 9-10 |
401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 |
4.2 Diskreetin jakauman odotusarvo (1 h)
|
AS 5-6 |
422 423 424 425 426
|
|
AS 7-8 |
422 423 424 425 426 427 428 429 430 431 432 434 435 |
|
AS 9-10 |
422 423 424 425 426 427 428 429 430 431 432 434 435 437 438 439 |
4.3 Jatkuva jakauma (1 h)
|
AS 5-6 |
442 443 444 445 446 |
|
AS 7-8 |
442 443 444 445 446 447 448 450 451 452 453 454 456 |
|
AS 9-10 |
442 443 444 445 446 447 448 450 451 452 453 455 457 458 459 460 462 |
4.4 Normaalijakauma (2 h)
|
AS 5-6 |
463 464 465 466 467 468 469 473 |
|
AS 7-8 |
463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 480 481 482 |
|
AS 9-10 |
463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 480 481 482 484 485 486 488 489 490 |