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Hello please please help me with this question now please please
1 answer:
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Answer:
62.89% probability that there will be smeared names on at most 4 t-shirts
Step-by-step explanation:
For each shirt, there are only two possible outcomes. Either there will be smeared names, or there will not. The probability of there being smeared names on a shirt is independent of other shirts. So we use the binomial probability distribution 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% of the shirts are smeared:
So
What is the probability, if a sample of 100 t-shirts is checked, there will be smeared names on at most 4 t-shirts?
This is when
. So
62.89% probability that there will be smeared names on at most 4 t-shirts