To find the mean of a uniform distribution, you can use the formula (a + b) / 2, where 'a' is the lower bound of the distribution and 'b' is the upper bound. In this case, a = 30 seconds and b = 200 seconds.
Mean = (30 + 200) / 2 = 230 / 2 = 115 seconds
To find the standard deviation of a uniform distribution, you can use the formula (b - a) / √12, where 'a' is the lower bound and 'b' is the upper bound.
Standard Deviation = (200 - 30) / √12 ≈ 170 / 3.464 = 49.07 seconds
Therefore, the correct answer is 115 seconds and 49.07 seconds.
The waiting time at an elevator is uniformly distributed between 30 and 200 seconds. Find the mean and standard deviation of the waiting time.
1 point
115 seconds and 49.07 seconds
000
1
115 seconds and 2408.3333 (second)2
1.15 minutes and 24.08333 (minute)2
1.15 minutes and 0.4907 minutes
1 answer