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Q2 In each of the following cases, identify the standard distribution that is mo

ID: 3023393 • Letter: Q

Question

Q2 In each of the following cases, identify the standard distribution that is most likely to be suitable for the random phenomenon at hand. Justify your choice, and specify which parameters are known and which parameters are unknown from the context. (a) The number of cases of Escherichia coli infections in Alberta in a given year. (b) The number of fish, out of 20, who survive 24 hours in a tank filled with contam- inated water. (c) The total number of bags filled with coffee beans that need to be examined until 10 bags containing spoiled beans are found. (d) The actual resistance of a wire manufactured for use in a computer system. (e) The size of an automobile insurance claim

Explanation / Answer

A) HERE IT WILL BE A UNIFORM DISTRIBUTION AS THE DATA HAS ONE VARIABLE AND THAT TOO IS QUITE UNIFORM

B) HERE IT WILL BE A POISSON DISTRIBUTION BEACUSE IT IS A DISCRETE DISTRIBUTION

C) IN THIS IT WILL BE A NORMAL DISTRIBUTION AS WE HAVE 2 CHOICES EITHER WE WILL FIND OR NOT FIND THE BAG

D) IN THIS WE WILL HAVE THE EXPONENTIAL DISTRIBUTION AS THE RESISTENCE MAY INCREASE AND DROP BY HUGE GAP IN EXPERIMENT

E)IN THIS ALSO IT WILL BE A UNIFORM DISTRIBUTION AS THE DATA WILL BE CONTINUOUS,