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

ID: 3022403 • Letter: I

Question

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 contaminated

water.

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.

) The number of cases of Escherichia coli infections in Alberta in a given year.

binomial distribution : p is known that is the proportion of cases of escherichia coli infections

(b) The number of fish, out of 20, who survive 24 hours in a tank filled with contaminated

water.

binomial distribution.

known : p --> proportion of number of fish that survive 24 hours

n = 20 sample size

10 bags containing spoiled beans are found.

geometric distribution

p = number of bags filled with coffee beans

n = sample size that is 10

(d) The actual resistance of a wire manufactured for use in a computer system.

normal distribution

mean = actual resistance of a wire manufactured

(e) The size of an automobile insurance claim.

n = sample size

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