Suppose that X is in finate(6,25) determine the vale of b in P(X greater than b)=0.66
To find the value of b in P(X > b) = 0.66, we need to understand that X follows a finite distribution from 6 to 25.
First, let's break down the problem. P(X > b) refers to the probability of X being greater than b. We want to find the value of b for which this probability is equal to 0.66.
To solve this, we need to look at the cumulative distribution function (CDF) of X.
The CDF will give us the probability that X is less than or equal to a given value. In this case, we are interested in finding the value of b for which P(X > b) = 0.66.
To proceed, we need to find the complement of P(X > b) in order to work with the CDF. The complement is equal to 1 minus the probability of X being greater than b, represented as P(X ≤ b).
Using the CDF, we need to find the value of b for which P(X ≤ b) = 1 - 0.66.
Now, let's calculate the probability P(X ≤ b) using the CDF.
1. Find the range of X: We know that X lies in the finite distribution from 6 to 25.
2. Calculate the probability for each value in the range of X: Determine the probability of X being less than or equal to each value in the range.
3. Sum up the probabilities until you reach a cumulative probability greater than or equal to 1 - 0.66.
4. The value of b for which the cumulative probability crosses the threshold of 1 - 0.66 is the answer we are looking for.