Given below are 10 observations which we believe comes from the exponential distribution with λ= 10....

Given below are 10 observations which we believe comes from the exponential distribution with λ= 10.

Give the 10 ordered pairs which you would need to construct a probability plot you could use to verify this assumption.

1.08, 4.24, 33.40, 29.26, 2.94, 15.92, 1.96, 10.47, 16.71, 14.27

Expert Solution

density function in exponential distribution

lambda = 1/10

f(x) = lambda * exp( - lambda* x)

X	*Prob(X=x)*
1.08	0.089763
1.96	0.082201
2.94	0.074528
4.24	0.065442
10.47	0.035099
14.27	0.024003
15.92	0.020352
16.71	0.018806
29.26	0.005361
33.4	0.003544

Given below is the probaility density function

-------------------------------------------------------------------------------------

However, for taking lambda =10 ( which I suspect is wrong) the results hold and distribution plot seems to be not exponential

X	*Prob(X=x)*
1.08	0.000204
1.96	3.07E-08
2.94	1.71E-12
4.24	3.85E-18
10.47	3.38E-45
14.27	1.06E-61
15.92	7.25E-69
16.71	2.69E-72
29.26	8.4E-127
33.4	8.8E-145

orchestra answered 1 year ago

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