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Sagot :
The probability that at least 11 of them graduated is 0.7739 if graduation rate is 92.5%.
Given that graduation rate is 95.2%.
We are required to find the probability that out of 12 selected candidates atleast 11 should be graduated.
Probability is basically the chance of happening an event among all the events possible. It cannot be negative. It lies between 0 and 1.
Probability=Number of items/ Total items.
Probability that atleast 11 will be graduated out of 12 selected candidates is as under:
It will be a binomial distribution.
So,
P(X>=11)=[tex]12C_{11}(0.925)^{11} (0.075)^{1} +12C_{12}(0.925)^{12} (0.075)^{0}[/tex]
=12*0.4241*0.075+1*0.3923
=0.3816+0.3923
=0.7739
Hence the probability that at least 11 of them graduated is 0.7739 if graduation rate is 92.5%.
Learn more about probability at https://brainly.com/question/24756209
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