Answer:
Probability that both eggs are cracked is 0.0001.
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 = both eggs are cracked
p = probability of success which in our question is probability that
an egg on a production line is cracked, i.e; p = 0.01
<u><em>Let X = Number of eggs on a production line that are cracked</em></u>
So, X ~ Binom(n = 2, p = 0.01)
Now, Probability that both eggs are cracked is given by = P(X = 2)
P(X = 2) =
=
= 0.0001
<em>Therefore, probability that both eggs are cracked is </em><em>0.0001</em><em>.</em>