A large machine is filled with thousands of small pieces of candy, 40% of which are orange. When money is deposited, the machine dispenses 60 randomly selected pieces of candy. The machine will be recalibrated if a group of 60 candies contains fewer than 18 that are orange.

What is the approximate probability that this will happen if the machine is working correctly?

(a) P §Z <

0.3 − 0.4

Å

(0.4)(0.6)

60

¥

(d) P §Z <

0.3 − 0.4

(0.4)(0.6)

!60

¥

(b) P §Z <

0.3 − 0.4

Å

(0.3)(0.7)

60

¥

(e) P §Z <

0.4 − 0.3

!(0.3)(0.7)

60

¥

(c) P §Z <

0.3 − 0.4

!(0.4)(0.6)

60