Answer
We know that the probability of getting a 6 on a die roll = (favorable)/(total outcome) = 1/6 = 0.1667
sample size given in the question is n = 114
So, first we will find the mean and standard deviation value
Mean = n*p
where n = 114 and p = 0.1667
setting the given values, we get
Mean = = 114*0.1667 = 19
And standard deviation =
setting the values, we get
standard deviation =
Now, using the formula
we have
setting the given values, we get
using the identity
we can write it as
We have used z distribution table to get the probability value.
So, required probability is 0.3447
option (5) is correct answer.
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