Question

A local bottling company has determined the number of machine breakdowns per month and their respective probabilities as shown below. Number of Breakdowns Probability

0 0.12
1 0.38
2 0.25
3 0.18
4 0.07
The probability of at least 2 breakdowns in a month is:
a) 0.50
b) 0.75
c) 0.82
d) 0.25

Answer 1

The probability of at least 2 breakdowns in a month is 0.50.

Step-by-step explanation:

To find the probability of at least 2 breakdowns in a month, we need to add the probabilities of having 2, 3, 4, and 5 breakdowns. The given probabilities are: P(0) = 0.12, P(1) = 0.38, P(2) = 0.25, P(3) = 0.18, and P(4) = 0.07.

Therefore, the probability of at least 2 breakdowns in a month is P(2) + P(3) + P(4) + P(5) = 0.25 + 0.18 + 0.07 = 0.50.