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Answer:
0.7208 = 72.08% probability that this whole shipment will be accepted.
Step-by-step explanation:
For each tablet, there are only two possible outcomes. Either it meets the required specifications, or it does not. The probability of a tablet meeting the required specifications is independent of any other tablet, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
4% rate of defects
This means that
26 tablets
This means that
What is the probability that this whole shipment will be accepted?
Probability that at most one tablet does not meet the specifications, which is:
Thus
Then
0.7208 = 72.08% probability that this whole shipment will be accepted.