Let X be given by exercise 1.14. Determine and E(X) Var(X). exercise 1.14 120 nails are classified by length: Let X denote the length of a nail selected randomly from this population. (1) Determine...

Let X be given by exercise 1.14. Determine and E(X) Var(X).

exercise 1.14

120 nails are classified by length:

Let X denote the length of a nail selected randomly from this population.

(1) Determine the probabilities p_i
= P(X = x_i); i = 1, 2, ..., 6.

(2) Determine the probabilities P(X ≤ 15.1), P(X > 15.4), and P(15.0 <>

(3) Draw the distribution function of X.