Question

1. Make a reasonable guess for the distribution of the random variable X where X is: (a) The number of eggs weighed until an egg exceeds 65 grams, (b) The number of eggs out of the next 100 that exceed 65 grams, c) Whether or not the combined weight of the next 100 eggs exceeds 6.5 kilograms (d) The number of specks of pepper in one cubic inch of an omelet, (e) The combined volume of 100 yolks plus whites.

Answer 1

Solution:

(a) The number of eggs weighted until an egg exceeds 65 grams: Geometric distribution

(b) The number of eggs out of the next 100 that exceed 65 grams: Negative Binomial distribution

(c) Whether or not the combined weight of the next 100 eggs exceeds 6.5 kilograms: Binomial distribution

(d) The number of specks of pepper in one cubic inch of an omelet: Poisson Distribution

(e) The combined volume of 100 yolks plus whites: Log-Normal distribution