1. Suppose a python (a big snake) eats a meal on some days. If it catches a meal

Question

1. Suppose a python (a big snake) eats a meal on some days. If it catches a meal on a given day it will not eat on the next day. If it does not find a meal on a given day it will catches a meal next day with a probability 0.6. You observe a python for a month (30 days) and count number of days the python finds something to eat. Is this a binomial experiment?

a)No, because trials are not independent and the probability of success does not remain a constant for all the trials.

b)Yes, it satisfies all conditions to be a binomial experiment.

c0No, because number of trials is not fixed.

d)No, because trials are not binary.

2. Suppose that 2% of items produced by a machine are defects. A quality controller inspects next 20 items produced by the machine and record the number of defective items. Is this an example for a binomial experiment?

a)No, recuasse trial are not binary.

b)No, because number of trials is not fixed.

c)No, because the probability of success does not remain a constant for all trials.

d)No, recuasse trials are not independent.

e)Yes, because it satisfies all the conditions to be be a binomial experiment.

3. Suppose that you count the number of customers who use self-checkout counters within a time period of 2 hours. Past records show that 32% of all customers use self-checkout counters. Is this an example for a binomial experiment?

a)No, because trials are not binary.

b)Yes, because it satisfies all conditions to be a binomial experiment.

c)No because trials are not independent.

d)No, because the probability of success does not remain a constant for all trials.

e)No, because number of trials is not fixed.

Explanation / Answer

1. a. No, because trials are not independent and the probability of success does not remain a constant for all the trials.

sucess events are depending day by day

2. e. Yes, because it satisfies all the conditions to be be a binomial experiment.

here probability of sucess is 0.02 and number of trials is 20.and either you get a defective one or good one .and trials are independent also

3. here the number of trials are not fixed so

e. is the answer

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