Let X be given by exercise 1.13. Determine and E(X) Var(X). exercise 1.13 A biologist measured the weight of 132 eggs of a certain bird species [gram]: There are no eggs weighing less than 38 or more...

Let X be given by exercise 1.13. Determine and E(X) Var(X).

exercise 1.13

A biologist measured the weight of 132 eggs of a certain bird species [gram]:

There are no eggs weighing less than 38 or more than 49. Let X denote the weight of an egg selected randomly from this population.

(1) Determine the probability distribution of X, i.e. p_i
= P(X = x_i); i = 1, 2, ..., 10.

(2) Determine P(43 ≤ X ≤ 48) and P(X > 45).

(3) Draw the distribution function of X.