Answer:
Therefore, the probability is P=0.24.
Step-by-step explanation:
We know that of the 34 locations for which they could be located a species of squid, only 14 of them contain the species. Therefore, 20 locations do not contain squid.
The probability that the locations do contain squid is:
[tex]P_1=\frac{14}{34}=\frac{7}{17}=0.41[/tex]
The probability that the locations do not contain squid is:
[tex]P_2=\frac{20}{34}=\frac{10}{17}=0.59[/tex]
If select 5 locations, we calculate the probability that 3 of those contain squid and the remaining 2 locations do not contain squid.
[tex]P=C_3^5\cdot 0.41^3\cdot 0.59^2\\\\P=\frac{5!}{3!(5-3)!}\cdot 0.024\\\\P=10\cdot 0.024\\\\P=0.24[/tex]
Therefore, the probability is P=0.24.
