A jar of pickle is picked at random using a filling process in which an automatic machine is filling pickle jars with 2.5 kg of pickle in each jar. Due to few faults in the automatic process, the weight of a jar could vary from jar to jar in the range 1.7 kg to 2.9 kg excluding the latter. Let X denote the weight of a jar of pickle selected. Find the range of X.
(a) 3.7 ≤ X < 3.9
(b) 1.6 ≤ X < 3.2
(c) 1.7 ≤ X < 2.9
(d) 1 ≤ X < 5
This question was posed to me in a job interview.
My question comes from Discrete Probability in chapter Discrete Probability of Discrete Mathematics