PROBABILITY and STATISTICS 1
PAPER 5
*This booklet features a compilation of past paper questions, purchased by CS Academy.
CONTENTS
Topic No Topic Page No.
1 Representation of data 1
2 Permutations and combinations 45
3 Probability 84
4 Discrete random variables 112
5 Normal distribution 161
Chapter 1
Representation of data
1
8 CHAPTER 1. REPRESENTATION OF DATA
1. 9709_m22_qp_52 Q: 3
2
11
3. 9709_s22_qp_52 Q: 1
3
12 CHAPTER 1. REPRESENTATION OF DATA
4. 9709_s22_qp_52 Q: 3
4
15
7. 9709_m21_qp_52 Q: 5
5
16 CHAPTER 1. REPRESENTATION OF DATA
6
19
9. 9709_s21_qp_52 Q: 7
7
20 CHAPTER 1. REPRESENTATION OF DATA
8
27
14. 9709_w21_qp_52 Q: 7
9
28 CHAPTER 1. REPRESENTATION OF DATA
10
32 CHAPTER 1. REPRESENTATION OF DATA
17. 9709_m20_qp_52 Q: 7
11
33
12
36 CHAPTER 1. REPRESENTATION OF DATA
19. 9709_s20_qp_52 Q: 1
13
37
20. 9709_s20_qp_52 Q: 3
14
38 CHAPTER 1. REPRESENTATION OF DATA
15
43
23. 9709_w20_qp_52 Q: 5
16
44 CHAPTER 1. REPRESENTATION OF DATA
17
47
25. 9709_m19_qp_62 Q: 2
18
48 CHAPTER 1. REPRESENTATION OF DATA
26. 9709_m19_qp_62 Q: 5
19
49
20
53
29. 9709_s19_qp_62 Q: 6
21
54 CHAPTER 1. REPRESENTATION OF DATA
22
62 CHAPTER 1. REPRESENTATION OF DATA
33. 9709_w19_qp_62 Q: 1
23
63
34. 9709_w19_qp_62 Q: 3
24
64 CHAPTER 1. REPRESENTATION OF DATA
25
67
36. 9709_m18_qp_62 Q: 1
26
68 CHAPTER 1. REPRESENTATION OF DATA
37. 9709_m18_qp_62 Q: 5
27
71
40. 9709_s18_qp_62 Q: 1
28
72 CHAPTER 1. REPRESENTATION OF DATA
41. 9709_s18_qp_62 Q: 5
29
73
30
78 CHAPTER 1. REPRESENTATION OF DATA
45. 9709_w18_qp_62 Q: 2
31
79
46. 9709_w18_qp_62 Q: 5
32
80 CHAPTER 1. REPRESENTATION OF DATA
33
84 CHAPTER 1. REPRESENTATION OF DATA
48. 9709_m17_qp_62 Q: 1
34
87
51. 9709_s17_qp_62 Q: 1
35
88 CHAPTER 1. REPRESENTATION OF DATA
52. 9709_s17_qp_62 Q: 2
36
94 CHAPTER 1. REPRESENTATION OF DATA
56. 9709_w17_qp_62 Q: 1
37
95
57. 9709_w17_qp_62 Q: 2
38
39
40
41
42
43
44
Chapter 2
Permutations and combinations
105
45
106 CHAPTER 2. PERMUTATIONS AND COMBINATIONS
79. 9709_m22_qp_52 Q: 5
46
107
47
110 CHAPTER 2. PERMUTATIONS AND COMBINATIONS
82. 9709_s22_qp_52 Q: 6
48
111
49
114 CHAPTER 2. PERMUTATIONS AND COMBINATIONS
84. 9709_m21_qp_52 Q: 6
50
115
51
119
87. 9709_w21_qp_52 Q: 2
52
120 CHAPTER 2. PERMUTATIONS AND COMBINATIONS
88. 9709_w21_qp_52 Q: 4
53
122 CHAPTER 2. PERMUTATIONS AND COMBINATIONS
90. 9709_m20_qp_52 Q: 1
54
123
91. 9709_m20_qp_52 Q: 4
55
126 CHAPTER 2. PERMUTATIONS AND COMBINATIONS
94. 9709_s20_qp_52 Q: 6
56
127
57
129
96. 9709_m19_qp_62 Q: 7
58
130 CHAPTER 2. PERMUTATIONS AND COMBINATIONS
59
131
60
135
98. 9709_s19_qp_62 Q: 7
61
136 CHAPTER 2. PERMUTATIONS AND COMBINATIONS
62
137
63
144 CHAPTER 2. PERMUTATIONS AND COMBINATIONS
104. 9709_m18_qp_62 Q: 2
64
145
105. 9709_m18_qp_62 Q: 6
65
149
107. 9709_s18_qp_62 Q: 6
66
150 CHAPTER 2. PERMUTATIONS AND COMBINATIONS
67
157
111. 9709_w18_qp_62 Q: 4
68
158 CHAPTER 2. PERMUTATIONS AND COMBINATIONS
69
160 CHAPTER 2. PERMUTATIONS AND COMBINATIONS
113. 9709_m17_qp_62 Q: 5
70
161
71
164 CHAPTER 2. PERMUTATIONS AND COMBINATIONS
115. 9709_s17_qp_62 Q: 6
72
165
73
168 CHAPTER 2. PERMUTATIONS AND COMBINATIONS
117. 9709_w17_qp_62 Q: 6
74
169
75
76
77
78
79
80
81
82
83
Chapter 3
Probability
175
84
178 CHAPTER 3. PROBABILITY
133. 9709_s22_qp_52 Q: 7
85
179
86
182 CHAPTER 3. PROBABILITY
135. 9709_m21_qp_52 Q: 2
87
187
138. 9709_s21_qp_52 Q: 3
88
188 CHAPTER 3. PROBABILITY
139. 9709_s21_qp_52 Q: 6
89
189
90
193
142. 9709_w21_qp_52 Q: 1
91
198 CHAPTER 3. PROBABILITY
145. 9709_m20_qp_52 Q: 6
92
199
93
202 CHAPTER 3. PROBABILITY
147. 9709_s20_qp_52 Q: 2
94
210 CHAPTER 3. PROBABILITY
153. 9709_w20_qp_52 Q: 4
95
211
96
212 CHAPTER 3. PROBABILITY
154. 9709_w20_qp_52 Q: 6
97
213
98
215
156. 9709_m19_qp_62 Q: 1
99
221
162. 9709_w19_qp_62 Q: 2
100
222 CHAPTER 3. PROBABILITY
163. 9709_w19_qp_62 Q: 7
101
223
102
224 CHAPTER 3. PROBABILITY
103
226 CHAPTER 3. PROBABILITY
165. 9709_m18_qp_62 Q: 3
104
227
166. 9709_s18_qp_62 Q: 2
105
232 CHAPTER 3. PROBABILITY
169. 9709_w18_qp_62 Q: 1
106
107
108
109
110
111
Chapter 4
Discrete random variables
251
112
252 CHAPTER 4. DISCRETE RANDOM VARIABLES
193. 9709_m22_qp_52 Q: 1
113
253
194. 9709_m22_qp_52 Q: 2
114
254 CHAPTER 4. DISCRETE RANDOM VARIABLES
195. 9709_m22_qp_52 Q: 6
115
255
116
258 CHAPTER 4. DISCRETE RANDOM VARIABLES
197. 9709_s22_qp_52 Q: 2
117
261
200. 9709_m21_qp_52 Q: 1
118
262 CHAPTER 4. DISCRETE RANDOM VARIABLES
201. 9709_m21_qp_52 Q: 4
119
265
203. 9709_s21_qp_52 Q: 1
120
266 CHAPTER 4. DISCRETE RANDOM VARIABLES
204. 9709_s21_qp_52 Q: 4
121
272 CHAPTER 4. DISCRETE RANDOM VARIABLES
209. 9709_w21_qp_52 Q: 3
122
273
123
274 CHAPTER 4. DISCRETE RANDOM VARIABLES
210. 9709_w21_qp_52 Q: 5
124
277
212. 9709_m20_qp_52 Q: 2
125
278 CHAPTER 4. DISCRETE RANDOM VARIABLES
126
282 CHAPTER 4. DISCRETE RANDOM VARIABLES
215. 9709_s20_qp_52 Q: 5
127
283
128
288 CHAPTER 4. DISCRETE RANDOM VARIABLES
220. 9709_w20_qp_52 Q: 1
129
289
221. 9709_w20_qp_52 Q: 2
130
290 CHAPTER 4. DISCRETE RANDOM VARIABLES
131
294 CHAPTER 4. DISCRETE RANDOM VARIABLES
224. 9709_m19_qp_62 Q: 4
132
297
226. 9709_s19_qp_62 Q: 3
133
298 CHAPTER 4. DISCRETE RANDOM VARIABLES
227. 9709_s19_qp_62 Q: 5
134
299
135
305
231. 9709_w19_qp_62 Q: 5
136
306 CHAPTER 4. DISCRETE RANDOM VARIABLES
137
309
233. 9709_m18_qp_62 Q: 4
138
313
236. 9709_s18_qp_62 Q: 4
139
318 CHAPTER 4. DISCRETE RANDOM VARIABLES
240. 9709_w18_qp_62 Q: 3
140
319
141
320 CHAPTER 4. DISCRETE RANDOM VARIABLES
241. 9709_w18_qp_62 Q: 6
142
321
143
323
243. 9709_m17_qp_62 Q: 2
144
324 CHAPTER 4. DISCRETE RANDOM VARIABLES
244. 9709_m17_qp_62 Q: 6
145
325
146
328 CHAPTER 4. DISCRETE RANDOM VARIABLES
246. 9709_s17_qp_62 Q: 3
147
329
247. 9709_s17_qp_62 Q: 4
148
330 CHAPTER 4. DISCRETE RANDOM VARIABLES
248. 9709_s17_qp_62 Q: 7
149
331
150
338 CHAPTER 4. DISCRETE RANDOM VARIABLES
253. 9709_w17_qp_62 Q: 3
151
339
254. 9709_w17_qp_62 Q: 4
152
153
154
155
156
157
158
159
160
Chapter 5
The normal distribution
347
161
348 CHAPTER 5. THE NORMAL DISTRIBUTION
276. 9709_m22_qp_52 Q: 4
162
349
163
352 CHAPTER 5. THE NORMAL DISTRIBUTION
278. 9709_s22_qp_52 Q: 4
164
353
165
354 CHAPTER 5. THE NORMAL DISTRIBUTION
279. 9709_s22_qp_52 Q: 5
166
355
167
358 CHAPTER 5. THE NORMAL DISTRIBUTION
281. 9709_m21_qp_52 Q: 3
168
359
282. 9709_m21_qp_52 Q: 7
169
360 CHAPTER 5. THE NORMAL DISTRIBUTION
170
364 CHAPTER 5. THE NORMAL DISTRIBUTION
285. 9709_s21_qp_52 Q: 2
171
365
286. 9709_s21_qp_52 Q: 5
172
366 CHAPTER 5. THE NORMAL DISTRIBUTION
173
373
290. 9709_w21_qp_52 Q: 6
174
374 CHAPTER 5. THE NORMAL DISTRIBUTION
175
377
292. 9709_m20_qp_52 Q: 3
176
378 CHAPTER 5. THE NORMAL DISTRIBUTION
293. 9709_m20_qp_52 Q: 5
177
379
178
382 CHAPTER 5. THE NORMAL DISTRIBUTION
295. 9709_s20_qp_52 Q: 4
179
383
180
384 CHAPTER 5. THE NORMAL DISTRIBUTION
296. 9709_s20_qp_52 Q: 7
181
385
182
391
300. 9709_w20_qp_52 Q: 3
183
392 CHAPTER 5. THE NORMAL DISTRIBUTION
184
395
303. 9709_m19_qp_62 Q: 3
185
396 CHAPTER 5. THE NORMAL DISTRIBUTION
304. 9709_m19_qp_62 Q: 6
186
397
187
402 CHAPTER 5. THE NORMAL DISTRIBUTION
307. 9709_s19_qp_62 Q: 2
188
403
308. 9709_s19_qp_62 Q: 4
189
410 CHAPTER 5. THE NORMAL DISTRIBUTION
312. 9709_w19_qp_62 Q: 4
190
411
191
412 CHAPTER 5. THE NORMAL DISTRIBUTION
313. 9709_w19_qp_62 Q: 6
192
413
193
419
316. 9709_m18_qp_62 Q: 7
194
420 CHAPTER 5. THE NORMAL DISTRIBUTION
195
421
317. 9709_m18_qp_62 Q: 8
196
422 CHAPTER 5. THE NORMAL DISTRIBUTION
197
423
198
428 CHAPTER 5. THE NORMAL DISTRIBUTION
320. 9709_s18_qp_62 Q: 3
199
429
321. 9709_s18_qp_62 Q: 7
200
430 CHAPTER 5. THE NORMAL DISTRIBUTION
201
431
202
438 CHAPTER 5. THE NORMAL DISTRIBUTION
325. 9709_w18_qp_62 Q: 7
203
439
204
440 CHAPTER 5. THE NORMAL DISTRIBUTION
205
445
328. 9709_m17_qp_62 Q: 3
206
446 CHAPTER 5. THE NORMAL DISTRIBUTION
329. 9709_m17_qp_62 Q: 4
207
447
330. 9709_m17_qp_62 Q: 7
208
448 CHAPTER 5. THE NORMAL DISTRIBUTION
209
451
332. 9709_s17_qp_62 Q: 5
210
452 CHAPTER 5. THE NORMAL DISTRIBUTION
211
457
336. 9709_w17_qp_62 Q: 5
212
458 CHAPTER 5. THE NORMAL DISTRIBUTION
213
459
337. 9709_w17_qp_62 Q: 7
214
460 CHAPTER 5. THE NORMAL DISTRIBUTION
215
216
217
218
219
220
221
222
223
224
225
