A study shows that 35% of the fish caught in a local lake had high levels of mercury. Suppose that 10 fish were caught from this lake. Find, to the nearest tenth of a percent, the probability that at least 6 of the 10 fish caught did not contain high levels of mercury.

0.985

Step-by-step explanation:

Given: 35% of the fish caught in a local lake had high levels of mercury.

To find: probability that at least 6 of the 10 fish caught did not contain high levels of mercury

Solution:

Probability refers to chances of occurrence of some event.

Probability = number of favourable outcomes/Total number of outcomes

Let A denotes the event that the fish caught in a local lake had high levels of mercury.

As 35% of the fish caught in a local lake had high levels of mercury,

Probability that at least 6 of the 10 fish caught did not contain high levels of mercury = 1 - probability that 4 of the 10 fish caught contain high levels of mercury =