Coin Flipping Experiment A coin is flipped twice. Let Y be the number of heads obtained, when the probability of a head for a flip equals #. 1. Assuming # = 0.50, specify the probabilities for the possible values for Y, and find the distribution's mean and standard deviation. 2. Find the binomial probabilities for Y when rr equals (a) 0.60 and (b) 0.40. 3. Suppose you observe y = 1 and do not know . Calculate and plot the likelihood function. 4. Using the generated plot in Item No. 3, what is the corresponding ML estimate of ?

Coin Flipping Experiment A coin is flipped twice. Let Y be the number of heads obtained, when the probability of a head for a flip equals #. 1. Assuming # = 0.50, specify the probabilities for the possible values for Y, and find the distribution's mean and standard deviation. 2. Find the binomial probabilities for Y when rr equals (a) 0.60 and (b) 0.40. 3. Suppose you observe y = 1 and do not know . Calculate and plot the likelihood function. 4. Using the generated plot in Item No. 3, what is the corresponding ML estimate of ?

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter12: Probability

Section12.4: Discrete Random Variables; Applications To Decision Making

Problem 2E

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