Question

In a large population it is determined that 10% of people will catch a virus. If ten people are
randomly selected, find the probability that
a) all ten will catch the virus
b) all ten will not catch the virus.
c) at least one person will catch the virus.

Answer 1

Let X be the random variable denoting the number of people who catch virus

So X follows a binomial distribution with parameters

n= 10

and p = 0.1

a) all ten will catch the virus

b) all ten will not catch the virus

=0.3486784401

c) The probability that at least one person catches the virus

= 1 - 0.3486784401

=0.6513215599

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