Question

In: Statistics and Probability

If you conduct and experiment 1500 times independently, i=1,2,3,...1500. Let y1, y2.... yN be i.i.d observations...

If you conduct and experiment 1500 times independently, i=1,2,3,...1500. Let y₁, y2.... yN be i.i.d observations from this experiment, yi=1 if heads with a probability of β; yi=0 if tails with a probability of 1-β. If you get 600 heads and 900 tails, what is the β_MLE？

	A.	0.4
	B.	0.5
	C.	0.6
	D.	0.7

Solutions

Expert Solution

The random variable is given by:

Or, in other terms,

The likelihood function is given by:

Now the MLE of is given by the for which,

Here, it is given that,

Hence,

Hence, option a) is correct.

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orchestra answered 1 year ago

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