suppose x is a uniform random variable with c=30 and d=80 find the probability that a randomly selected observation exceeds 50
this is the direct question, i have no idea how to work this problem, please help
I have no idea what c and d indicate.
Z = (score-mean)/SD
Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportion/probability related to the Z score.
To find the probability that a randomly selected observation from a uniform random variable exceeds a certain value, follow these steps:
1. Determine the range of the random variable. In this case, the range is from 30 to 80, inclusive.
2. Calculate the total range of the random variable. In this case, the total range is 80 - 30 + 1 = 51.
3. Calculate the range beyond 50. Since 50 is included in the range, subtract the lower end of the range (30) from 50: 50 - 30 = 20.
4. Divide the range beyond 50 by the total range to get the probability. In this case, 20 / 51 ≈ 0.39.
Therefore, the probability that a randomly selected observation from the uniform random variable exceeds 50 is approximately 0.39, or 39%.