Question

The random variable x is known to be uniformly distributed between 130 and 180. What is the probability that x is greater than 150?

1) 0.5
2) 0.4
3) 0.3
4) 0.2

Answer 1

To find the probability that x is greater than 150 for a uniformly distributed random variable between 130 and 180, the probability can be calculated as 3/5 or 0.6.

Step-by-step explanation:

To find the probability that x is greater than 150 for a uniformly distributed random variable between 130 and 180, we need to calculate the portion of the distribution that is greater than 150. Since the distribution is uniform, the probability is equal to the ratio of the length of the interval greater than 150 to the total length of the interval. The length of the interval greater than 150 is 180 - 150 = 30, and the total length of the interval is 180 - 130 = 50. Therefore, the probability is 30/50 which simplifies to 3/5 or 0.6.