suppose x is a uniform random variable with c == 40 and d ==70 . what is the probability that a randomly selected observation is between 43 and 65
Are c and d minimum and maximum?
If they are uniformly distributed between these two limits, then:
(65-43)/(70-40) = ?
thank you very much that helps
suppose x is a uniform random variable with c=40 ana d= 70 find the probability that a randomly selected observation is between 43 and 65
5.57
To find the probability that a randomly selected observation is between 43 and 65 in a uniform distribution, you need to calculate the probability density function (PDF) for the given range.
Here's how you can calculate it:
1. Determine the range of the uniform distribution, which is defined by variables c and d. In this case, c = 40 and d = 70.
2. Calculate the width of the entire range. Subtract c from d and add 1: (70 - 40) + 1 = 31.
3. Calculate the width of the desired range. Subtract the lower value (43) from the upper value (65), and add 1: (65 - 43) + 1 = 23.
4. Divide the width of the desired range by the width of the entire range to get the probability. In this case, 23/31 = 0.742.
So, the probability that a randomly selected observation is between 43 and 65 in this uniform distribution is approximately 0.742, or 74.2%.