  A fish tank in a pet store has 15 fish in it. 11 are orange and 4 are white. How do I determine the probability that if we select 3 fish from the tank, at least 2 will be white?

Question

A fish tank in a pet store has 15 fish in it. 11 are orange and 4 are white. How do I determine the probability that if we select 3 fish from the tank, at least 2 will be white?

Step 1

The Hypergeometric distribution:

A random variable X is said to follow hypergeometric distribution if its probability mass function is as follows,

Step 2

Computing the probability of getting 3 fish from the tank, at least 2 will be white:

Here 3 fishes are selected from a tank containing 15 fishes.

This follows Hypergeometric distribution with N=15, K = 4, k = 2,..., n and n = 3.

Here, the total number of fishes is denoted by N, the total number of white fishes is denoted by K and number of observed successes by k.

Then the ...

Want to see the full answer?

See Solution

Want to see this answer and more?

Our solutions are written by experts, many with advanced degrees, and available 24/7

See Solution
Tagged in

Other 