Answer:
The probability that a matchbox will have one or fewer matches with a flaw is 0.9946 approximately.
Step-by-step explanation:
Consider the provided information.
A manufacturer of matches randomly and independently puts 22 matches in each box of matches produced. The company knows that one-tenth of 5 percent of the matches are flawed.
One-tenth of 5 percent can be written as 0.5%
Here we have the value of n=22 and the value of p=0.5%=0.005
We want the probability that a matchbox will have one or fewer matches with a flaw.
That means 
Thus the required probability is:

Hence, the probability that a matchbox will have one or fewer matches with a flaw is 0.9946 approximately.