Question

Suppose you are planning to study a species of squid at a local wildlife preserve, but...

Suppose you are planning to study a species of squid at a local wildlife preserve, but out of the 34 locations for which they could be located, only 14 of them contain the species. Due to time constraints, you randomly select 5 locations. What is the probability that 3 of those contain squid and the remaining 2 locations do not contain squid?

Homework Answers

Answer #1

X : Number of locations contain squid

n : Number locations selected = 5

Number of locations for which squid could be located = 34

Number of locations contain squid = 14

Probability that randomly selected location contain squid : p = 14/34 = 7/17

q = 1-p = 1-7/17 = 10/17

X follows a Binomial distribution ;

The probability mass function of X :

Probability that 'r' of the selected 5 locations (and remaining 5-r locations do not contain squid) is given by

probability that 3 of those contain squid and the remaining 2 locations do not contain squid = P(X=3)

probability that 3 of those contain squid and the remaining 2 locations do not contain squid = 0.2416

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