The probability that an egg on a production line is cracked is 0.01. Two eggs are selected at random from the production line. Find the probability that exactly one of the eggs is cracked. Write the entire decimal answer.

Probability that exactly one of the eggs is cracked is 0.0198.

Step-by-step explanation:

We are given that the probability that an egg on a production line is cracked is 0.01.

Two eggs are selected at random from the production line.

The above situation can be represented through binomial distribution;

where, n = number trials (samples) taken = 2 eggs

           r = number of success = exactly one

           p = probability of success which in our question is probability that

                 an egg on a production line is cracked i.e; p = 0.01

Let X = Number of eggs on a production line that is cracked

So, X ~ Binom(n = 2, p = 0.01)

Now, probability that exactly one of the eggs is cracked is given by = P(X = 1)

                P(X = 1)  =  

                               =  

                               =  0.0198

Therefore, the probability that exactly one of the eggs is cracked is 0.0198.

the answer is; biodiversity resulting from few ancestors

adaptive radiation occurs when a population is subjected to a large natural environment with spatial ecological variations. the parts of the population in the different ecologies begin to adapt to their local environments. due to non-random mating across the large populations, this causes the different populations from the large population to speciate within their local environments. they, therefore, diverge to different species sharing a common ancestor.