Let N=9, r=5 , and n=4. Using the hypergeometric probability distribution formula, find: (Show all work and round final answer to 3 decimal places) a)P( X= 1) b)P(X=0) c)P(x ≤1 )

Let X be the number of visits to the dentist's office for a randomly selected student. Suppose that X has a probability distribution function given by the following table: X P(X= x) 0.15 0.65 Find P(X ≤u) where µ = E(X) is the average number of visits. 0.5 0.15 1 1 0.50 2 0.35

Let X be the total number of groups of customers at Jellibabix's restaurant over one day in Lugdunum. Experience shows that X Poi(30). Each table (group of customers) orders at least one bottle of wine with probability p = 0.80. Suppose each table decides independently from other tables whether or not to order wine. If Y is the number of tables that ordered at least one bottle of wine, find the distribution of Y (hint: consider the distribution of Y given X = x).

Use the given information to find the indicated probability. A and B are mutually exclusive. P(A) = 0.5, P(B) = 0.4. Find P((A u B)'). P((A u B)') =

Suppose Y - Uniform(01, 02) where the parameters and 02 take the values 1 and 5 respectively. Compute the probability P(Y < y) when y=4.71.

Use the Hypergeometric formula:  A high school graduation committee  is to be formed by choosing randomly from 11 students and 5 teachers.  If the committee is to have 8 members, find the probability that exactly 6 of them are students.

Suppose Y - Uniform(01, 02) where the parameters 01 and 02 take the values 1 and 5 respectively. Compute the probability P(Y < y) when y=3.20.