Your car (like most cars) has four tires.Each tire has a 1% chance of running low on air in the morning.Assume that the state of one tire has no relationship to the state of the others.Use the binomial probability function to determine the probability that one tire will be running low on air tomorrow morning.
A)0.010
B)0.039
C)0.250
D)0.999
E)0.450

Question

Quizplus · Accepted Answer

The probability that exactly one tire will be running low on air can be calculated using the binomial probability formula, which is P(X=k) = C(n, k) * p^k * (1-p)^(n-k), where n is the number of trials (in this case, 4 tires), k is the number of successful outcomes (1 tire running low on air), p is the probability of success on a single trial (1% or 0.01), and C(n, k) is the combination of n items taken k at a time. Plugging in the values gives P(1) = C(4, 1) * (0.01)^1 * (0.99)^3 = 4 * 0.01 * 0.970299 = 0.039.

Your Car (Like Most Cars) Has Four Tires