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hugo211
30.06.2019 •
Mathematics
Assume that random guesses are made for nine multiple choice questions on an sat test, so that there are = trials, each with probability of success (correct) given by p = 0.2. find the indicated probability for the number of correct answers. find the probability that the number x of correct answers is fewer than 4. g
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Ответ:
20.33%
Step-by-step explanation:
We have that the mean (m) is equal to 87.5, the standard deviation (sd) 6.25 and the sample size (n) = 12
They ask us for P (x <86)
For this, the first thing is to calculate z, which is given by the following equation:
z = (x - m) / (sd / (n ^ 1/2))
We have all these values, replacing we have:
z = (86 - 87.5) / (6.25 / (12 ^ 1/2))
z = -0.83
With the normal distribution table (attached), we have that at that value, the probability is:
P (z <-0.83) = 0.2033
The probability is 20.33%