Four mutually exclusive and exhaustive events have probabilities given by .

MATHEMATICS · Multi-part · A Level · Mathematics · Probability · Probability

Problem

Four mutually exclusive and exhaustive events

E_{1},E_{2},E_{3},E_{4}

have probabilities given by

P(E_{1})=t, \; P(E_{2})=t+0.05, \; P(E_{3})=2t, \; P(E_{4})=0.15

. (i) Value of

t

(ii)

P(E_{3})

(iii) Validity of the model with a brief reason