Question

Consider a spinner that, after a spin, will point to a number between zero and 1 with "uniform probability". Determine the probability: P(1⁄5 ≤ X ≤ 17⁄35).

a) 0.71
b) 0.49
c) 1.00
d) 0.29
e) 0.20
f) None of the above

Answer 1

To determine the probability P(1/5 ≤ X ≤ 17/35), we need to find the area under the probability distribution curve between the values 1/5 and 17/35. The probability P(1/5 ≤ X ≤ 17/35) is equal to the width of the interval divided by the total width of the distribution, resulting in a probability of 0.49.

Step-by-step explanation:

To determine the probability P(1/5 ≤ X ≤ 17/35), we need to find the area under the probability distribution curve between the values 1/5 and 17/35.

Since this is a uniform probability distribution, the probability is equal to the width of the interval (17/35 - 1/5) divided by the total width of the distribution (1 - 0).

The probability P(1/5 ≤ X ≤ 17/35) is therefore (17/35 - 1/5) / (1 - 0) = 0.49.