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1) Y ou are given a coin with unknown probability that head shows up. You repeat

ID: 3052750 • Letter: 1

Question

1) Y ou are given a coin with unknown probability that head shows up. You repeatedly toss coin and collect resulty/ When head shows up, you record I, otherwise 0. Following are the results of your coin-tossing: 01 101110,0 10 1 Please estimate the probability that head shows up. A) 0.63636 0.58333 C) 0.7 D) 0.53846 2) Determine whether the given procedure results in a binomial distribution. If not, state the reason why keeping track of the winning numbers. Spinning a roulette wheel 7 times A) Not binomial: the trials are not independent. B) Not binomial: there are more than two outcomes for each trial. C) Not binomial: there are too many trials. D) The procedure results in a binomial distribution. 3) Determine whether it is appropriate to model the following random variable using a Poisson distribution. If not, state the reason why. The number of customers calling customer service of a big company during a week. A) Not Poisson: the events are not independent.

Explanation / Answer

1:

Out of 12 tosses, 7 shows head so estimated probability of heads is

P(head) = 7/ 12= 0.5833

2:

In a roulette wheel winning numbers can be more than 2 but for a binomial distribution each trial must have only 2 outcomes. So it is not a binomial experiment.

correct option is B.

3:

yes it is poisson