7.2 South Africa has a population of 55 million people. It is predicted that the current spread of the virus may lead to 30% of
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Answer:
The probability that you lose at most 2 out of your 6 races is 0.54432.
Step-by-step explanation:
We are given that you are running a race. The probability that you win is 3/5.
There are total of 6 races.
The above situation can be represented through binomial distribution;
where, n = number of trials (samples) taken = 6 races
r = number of success = at most 2 lost
p = probability of success which in our question is probability that
you lose a race = 1 - (3/5) = 2/5 or 0.4
Let X = <u><em>Number of races lost </em></u>
So, X ~ Binom(n = 6, p = 0.40)
Now, the probability that you lose at most 2 out of your 6 races is given by = P(X 2)
P(X 2) = P(X = 0) + P(X = 1) + P(X = 2)
=
=
= <u>0.54432</u>