Could you post excerpt Two?
Natural gas in its native state is colorless and odorless. Mercaptan is the additive that is added to natural gas to make it easier to detect in case of a leak.
Answer:
Probability of fewer than 4 = 0.0339
Explanation:
This is a question on binomial distribution. It is a distribution which has two possible outcome; a success or a failure
Probability of success (p) = 49%
Probability of failure (q) = 1 - 49% = 1-0.49
Probability of failure (q) = 0.51 = 51%
n = 14
P(X = x) = (n!)/[(n-x)!x!] × p^x × q^(n-x)
Probability of fewer than 4 = Pr(X <4)
Pr(X <4) = Pr(X = 0) + Pr(X = 1) +Pr(X = 2) +Pr(X = 3)
Find attached the workings
From the workings, Pr(X <4) = 0.0339295
Probability of fewer than 4 = 0.0339 (approximately)