Question

In: Statistics and Probability

A bank’s daily withdrawals and deposits over the last 12 months is indicated a. What net...

A bank’s daily withdrawals and deposits over the last 12 months is indicated

a. What net deposit drain has a probability of 1.5%?

b. What net deposit drain has a probability of 2%?

c. What is probability of a one-day net deposit drain in excess of $30.00?

deposits (000)	withdrawals (000)
356	180
320	277
356	336
237	316
178	174
101	324
325	337
335	309
92	42
392	286
336	181
272	361
72	351
261	239
333	62
237	306
144	254
109	153
320	45
75	199
371	265
346	203
353	177
229	146
293	75
182	340
194	52
135	51
333	79
368	322
175	129
172	175
261	351
274	156
66	266
60	125
326	82
190	212
287	62
90	355
395	105
91	226
148	292
393	218
99	152
271	161
158	49
107	367
309	252
144	284
117	373
367	58
313	155
153	128
348	166
268	156
120	135
52	97
322	239
290	307
332	169
50	305
275	109
233	92
126	270
236	223
184	273
85	105
107	127
161	173
317	282
122	209
170	59
280	300
50	374
218	359
52	197
71	198
53	159
280	354
114	321
196	77
189	306
266	134
328	180
224	127
263	93
139	96
137	266
160	84
339	190
332	342
289	173
231	114
155	198
128	105
125	349
117	66
231	169
208	318
389	291
339	269
366	50
336	323
177	300
281	375
62	329
122	357
120	152
379	341
340	335
324	74
166	331
351	179
291	330
393	187
97	215
347	256
199	337
176	362
146	131
378	111
355	338
348	233
242	281
86	327
186	334
151	245
92	148
122	354
206	309
282	319
148	45
230	65
211	206
251	211
313	352
364	57
202	337
291	42
352	161
112	298
236	53
333	151
363	67
292	294
268	306
299	155
317	121
73	182
146	294
251	236
376	185
70	367
197	298
221	334
297	284
94	64
276	264
301	210
253	57
242	344
256	84
108	149
82	98
56	365
135	204
389	258
223	326
54	282
301	337
207	261
191	147
334	130
279	256
223	271
238	161
89	89
178	348
205	311
151	40
84	230
265	67
217	367
391	142
280	73
62	190
270	267
298	139
302	120
278	369
176	68
78	194
125	343
348	64
251	172
138	350
94	291
371	197
188	208
92	150
397	226
336	62
335	325
109	269
377	147
95	242
338	119
378	350
305	65
240	155
123	74
340	122
270	234
316	72
106	289
142	303
109	58
128	170
225	287
127	352
135	51
226	314
317	366
146	187
190	54
295	312
93	288
98	349
213	192
269	45
61	48
243	182
336	147
370	214
329	302
166	219
132	56
61	282
334	84
113	176
190	283
60	210
388	157
96	87
300	128
350	202
391	215
253	274
246	142
297	365
102	360
130	149
374	250
62	372
348	337
118	46
135	320
252	246
201	106

Expert Solution

ANSWER::

deposits (000)	withdrawals (000)	Net deposit drain
366	50	-316
367	58	-309
364	57	-307
363	67	-296
395	105	-290
348	64	-284
320	45	-275
336	62	-274
333	62	-271
378	111	-267
333	79	-254
324	74	-250
334	84	-250
291	42	-249
391	142	-249
326	82	-244
316	72	-244
305	65	-240
388	157	-231
377	147	-230
287	62	-225
269	45	-224
338	119	-219
293	75	-218
340	122	-218
280	73	-207
393	187	-206
334	130	-204
265	67	-198
317	121	-196
253	57	-196
352	161	-191
376	185	-191
336	147	-189
236	53	-183
348	166	-182
333	151	-182
302	120	-182
356	180	-176
353	177	-176
391	215	-176
393	218	-175
371	197	-174
351	179	-172
256	84	-172
300	128	-172
397	226	-171
263	93	-170
275	109	-166
230	65	-165
332	169	-163
298	139	-159
313	155	-158
370	214	-156
336	181	-155
339	190	-149
328	180	-148
350	202	-148
299	155	-144
346	203	-143
194	52	-142
233	92	-141
190	54	-136
266	134	-132
389	258	-131
374	250	-124
196	77	-119
274	156	-118
231	114	-117
289	173	-116
348	233	-115
268	156	-112
170	59	-111
151	40	-111
271	161	-110
158	49	-109
176	68	-108
392	286	-106
371	265	-106
246	142	-104
148	45	-103
389	291	-98
224	127	-97
201	106	-95
347	256	-91
301	210	-91
240	155	-85
135	51	-84
135	51	-84
229	146	-83
322	239	-83
251	172	-79
238	161	-77
160	84	-76
132	56	-76
118	46	-72
339	269	-70
231	169	-62
243	182	-61
309	252	-57
117	66	-51
109	58	-51
92	42	-50
123	74	-49
368	322	-46
175	129	-46
191	147	-44
320	277	-43
139	96	-43
251	211	-40
379	341	-38
270	234	-36
317	282	-35
94	64	-30
378	350	-28
329	302	-27
335	309	-26
153	128	-25
128	105	-23
279	256	-23
261	239	-22
213	192	-21
356	336	-20
355	338	-17
146	131	-15
251	236	-15
236	223	-13
336	323	-13
297	284	-13
61	48	-13
276	264	-12
348	337	-11
335	325	-10
96	87	-9
252	246	-6
340	335	-5
211	206	-5
178	174	-4
270	267	-3
89	89	0
292	294	2
172	175	3
332	342	10
325	337	12
161	173	12
120	135	15
82	98	16
290	307	17
295	312	17
130	149	19
85	105	20
107	127	20
280	300	20
188	208	20
253	274	21
190	212	22
120	152	32
301	337	36
282	319	37
268	306	38
291	330	39
242	281	39
313	352	39
108	149	41
146	187	41
128	170	42
155	198	43
109	153	44
52	97	45
223	271	48
317	366	49
99	152	53
166	219	53
207	261	54
92	148	56
92	150	58
225	287	62
113	176	63
60	125	65
297	365	68
237	306	69
135	204	69
280	354	74
237	316	79
122	209	87
226	314	88
272	361	89
184	273	89
261	351	90
278	369	91
190	283	93
281	375	94
151	245	94
197	298	101
242	344	102
206	309	103
223	326	103
53	159	106
205	311	106
73	182	109
144	254	110
208	318	110
221	334	113
78	194	116
189	306	117
97	215	118
177	300	123
75	199	124
71	198	127
62	190	128
137	266	129
91	226	135
202	337	135
199	337	138
144	284	140
218	359	141
148	292	144
126	270	144
52	197	145
84	230	146
95	242	147
186	334	148
146	294	148
217	367	150
60	210	150
182	340	158
109	269	160
142	303	161
166	331	165
178	348	170
106	289	183
135	320	185
176	362	186
112	298	186
93	288	195
94	291	197
66	266	200
114	321	207
138	350	212
125	343	218
61	282	221
101	324	223
125	349	224
127	352	225
54	282	228
122	354	232
122	357	235
86	327	241
98	349	251
50	305	255
117	373	256
102	360	258
107	367	260
90	355	265
62	329	267
72	351	279
70	367	297
56	365	309
62	372	310
50	374	324

a. What net deposit drain has a probability of 1.5%

Total count = 260

Count = 0.015 * 260 = 3.9

Net deposit drain > -296

b. What net deposit drain has a probability of 2%?

Total count = 260

Count = 0.02* 260 = 5.2

Net deposit drain > -284

c. What is probability of a one-day net deposit drain in excess of $30.00

= 104/260

= 0.4

40%

Please revert back in case of any doubt.

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