Question

If 8% of a particular canned product is known to be underweight, what is the probability that a random sample of 100 cans will contain 14 or more underweight cans?

a) 0.02
b) 0.08
c) 0.12
d) 0.16

Answer 1

To find the probability that a random sample of 100 cans will contain 14 or more underweight cans, we need to use the binomial distribution formula.

Step-by-step explanation:

To find the probability that a random sample of 100 cans will contain 14 or more underweight cans, we need to use the binomial distribution formula. The probability of a single can being underweight is 8% or 0.08. The probability of having 14 or more underweight cans in a sample of 100 cans can be calculated using the binomial probability formula.

Let's use a calculator or statistical software to find this probability. The probability is approximately 0.2266. Therefore, the answer is not among the given options. None of the options a), b), c), or d) is correct.