Fitting of Geometric Distribution - 2

 

Practical Exercise -8

Fitting of Geometric Distribution

 (Recurrence relation method)

 

1.     Fit the Geometric distribution to the following data by recurrence relation for probabilities method

x	0	1	2	3	4	5	6
f	460	140	45	25	18	10	2

 

 

2.     Fit a Geometric distribution to the following data by recurrence relation method

X	0	1	2	3	4	5
f	201	70	41	20	7	1

 

Fitting of Geometric Distribution -1

 

Practical Exercise -7

Fitting of Geometric Distribution

 (Direct Method)

 

1.     Fit the Geometric distribution to the following data by direct method

x	0	1	2	3	4	5	6
f	120	48	20	7	3	1	1

 

 

2.     Fit a Geometric distribution to the following data by direct method

X	0	1	2	3	4	5
f	201	70	41	20	7	1

 

 

3.     The following distribution relates to the number of accidents to 650 women working on highly explosive shells during 5-week period.

No.of accidents	0	1	2	3	4	5
frequency	450	132	41	22	3	2

Fit a Geometric distribution by direct method

Latin Square Design (LSD)

 

LATIN SQUARE DESIGN

 

1. Analyse the following Latin Square Design

A 12	C 19	B 10	D 8
C 18	B 12	D 6	A 7
B 22	D 10	A 5	C 21
D 12	A 7	C 27	B 17

 

2. Analyse the Latin Square Design experimental data and also fine the efficiency of this design relative to CRD and RBD

D 29.1	B 18.9	C 29.4	A 5.7
C 16.4	A 10.2	D 21.2	B 19.1
A 12.3	D 38.4	B 24	C 37
B 24.9	C 41.7	A 9.5	D 28.9

 

 3. The following are the results of LSD on the effects of 5 manual treatments A, B, C, D and E on the yield of sugarcane test whether the treatments are equally effective. Estimate the missing value and analyse.

405 B	525 A	463 E	441 D	481 C
325 C	445 D	429 B	513 A	493 E
471 E	492 B	472 A	381 C	? D
430 D	469 E	432 C	467 B	460 A
552 A	431 C	425 D	572 E	451 B

4. The layout given in adjoining table represents a Latin Square Experiment with 4 blocks and 4 treatments a, b, c and d each one is replicated 4 times, in which one observation is missing value and analyse the design.

120 a	112 b	110 c	100 d
115 b	118 a	102 d	105 c
122 c	* d	121 a	100 b
110 d	115 c	120 b	130 a