Question

A number cube of questionable fairness is rolled 100 times. The probability distribution shows the results. What is P(3≤x≤5) ? Enter your answer, as a decimal, in the box.

Answer 1

We can find P(3≤x≤5) by adding the probabilities of rolling a 3, 4, or 5.

P(3≤x≤5) = P(x=3) + P(x=4) + P(x=5)

From the probability distribution, we can see that:

P(x=3) = 0.22
P(x=4) = 0.31
P(x=5) = 0.16

Plugging these values into the formula, we get:

P(3≤x≤5) = 0.22 + 0.31 + 0.16 = 0.69

Therefore, the probability of rolling a 3, 4, or 5 on the number cube is 0.69.