Question

Question 4 (1 point) When rolling a die 114 times, what is the probability of rolling a 6 greater than 20 times? 1) 0.6553 2) 0.0948 3) 0.4395 4) 0.0474 5) 0.3447

Answer 1

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.