In question 27, assume that 1/10 of the light bulbs produced in the morning shift, 1/10 of the light bulbs produced in the evening shift, and 1/5 of the light bulbs produced in the night shift are detective. Say we pick a light bulb at random.

(a) What is the probability that the light bulb is defective?

(b) What is the chance that the light bulb is defective and was produced in the night shift?

(c) Suppose we get a defective light bulb. What is the chance that this light bulb was produced in the night shift?

Question 27

Of the light bulbs delivered on May 25, 400 are produced in the morning shift, 300 in the evening shift, and 300 in the night shift. Say we pick a light bulb at random.