Question

(b) What is the probability of generating a random number between 0.35 and 0.65? (c) What is the probability of generating a random number with a value less than or equal to 0.20? (d) What is the probability of generating a random number with a value greater than 0.60? (e) Generate 50 random numbers by entering =RAND() into 50 cells of an Excel worksheet. This answer has not been graded yet. (f) Compute the mean and standard deviation for the random numbers in part (e). This answer has not been graded yet.

Answer 1

b)

probability =

P(0.35<X<0.65)=

(0.65-0.35)/(1-0)=

0.3000

c)

probability =

P(X<0.2)=

(0.2-0)/(1-0)=

0.2000

d)

probability =

P(X>0.6)=

1-P(X<0.6)=

1-(0.6-0)/(1-0)=

0.4000

e)

below are 50 random number:

no.	x
1	0.8497
2	0.1046
3	0.2767
4	0.9407
5	0.4268
6	0.7556
7	0.1494
8	0.8011
9	0.6731
10	0.2214
11	0.4765
12	0.8030
13	0.1496
14	0.3108
15	0.0323
16	0.3198
17	0.9194
18	0.0179
19	0.4523
20	0.0653
21	0.6197
22	0.9166
23	0.8568
24	0.8315
25	0.2796
26	0.7407
27	0.7759
28	0.4637
29	0.0878
30	0.6573
31	0.2277
32	0.0947
33	0.8396
34	0.7303
35	0.2456
36	0.6511
37	0.7633
38	0.4805
39	0.8084
40	0.3861
41	0.2815
42	0.3556
43	0.9330
44	0.6021
45	0.0902
46	0.4822
47	0.7639
48	0.2476
49	0.4452
50	0.6749

f)

mean =0.5016

standard deviation =0.2890