1 (a) The Monthly expenditure of family is normally distributed with mean riyals 100 and variance Riyals 64. Evaluate the probability that the expenditure of a family is O between 110.5 and 125.75, (ii) at most 93.5. (b) P(Z < K) - 0.45. Evaluate K.
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
![4/qui/attempt.phplattempt-8528868cmid-127283
ANSWER ALL QUESTIONS
1. (a) The Monthly expenditure of family is nomally distributed with
mean riyals 100 and variance Riyals 64. Evaluate the probability that the
expenditure of a family is
@ between 110.5 and 125.75,
(ii) at most 93.5.
(b) P(Z < K) - 0.45. Evaluate K.
II. Listed is data on profit and market capitalization for a sample of 5
different firms:
Market
20
40
55
18
40
(X)
Profit
30
35
22
18
(Y)
A. Find the Karl Person's coeflicient of corelation
B. Find an estimate of profit when market capitalization is 30
Anduom/mod/quir/attempt.php?attempt-852886&cmid 127283
C. Find an estimate of market capitalization when profit is 20
D. Estimate the simple linear regression model
.00
01
02
03
04
.05
.06
07
.08
09
0120 0160
.0557
.0910.0948
1331
0239
0279
0675
0636
.1026 1064
0.0
0.1
O080
0199
.0319 .0359
.0753
.1141
.0000
.0040
.0398
.0438
0478
.0517
0596
.0714
0.2
.0793
0832
0871
0987
1103
0.3
1179
.1217
.1591
1950
.1255
.1293
1368
.1406
1443
.1480
.1517
1628.1664
.1985
2324 .2357 2389
2642
2939
0.4
.1554
.1700
.1736
2088
2422 2454
2734
3023
.1772
1808
2157
2486
.1844
.1879
0.5
.1915
2019
2054
2123
2190
0.6 2257
2291
2611
2224
2549
2517
0.7
2580
.2673
2967 2995
2704
2764
2794
2823
2852
O.8
2881
2910
3051
3078
3106
3133
0.9
3159
3186
3212
3238
3264
3289
3315
3340
3365
3389
3413
3643
3849
4032
4192
1.0
3438
3461
3485
3508
3708 3729
3907
3531
3554
3577
3599
3621
3830
11
3665
3869
3686
3888
3749
3770
3790
3810
1.2
3925
3944
3962
3980
3997
4015
1.3
4049
4066
4082
4099
4115
4131
4147
4162
4177
1.4
4207
4222
4236
4251
4265
.4279
4292
4306
4319
1.5
4332
.4345
4357
4370
4382
4394
4505
.4406
4418
4429
4441
1.6
4452
4463
4474
4484
4495
4515
4525
4535
4545
1.7
4554
.4564
4573
4582
4591
4599
4608
4686
4616
4625
4633
4641
4649
4656
4719 4726
477K
4664
4671
4678
4693
4699
4706
1.9
20
4713
4732
4738
.4744
4750
4756
4761
4772
4783
4788
4767
4793
4798
4803
.4808
4812
4817
21
4821
4826
4830
4834
4838
4842
4846
4850
4884
2.2
4861
4864
4868
.4854
4857
4871
4875
487K
4881
23
4893
4896
4887
4890
4898
4901
4904
4906
4909
4911
4913
4916
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