Question

suppose it is known that 80% of the people exposed to the flu virus will contract...

suppose it is known that 80% of the people exposed to the flu virus will contract the flu. out of a family of six exposed to the virus, what is the probability that no more than two will contract the flu?

Let X denote the random variable representing the number of people who will contract the flu out of the family of six exposed to the flu virus.

Now, since there is a fixed number of trials (fixed number of people), there are two outcomes (contracting the flu or not contracting the flu) and each family member contracts the flu with probability 80% = 0.8 independent of other family members, thus we can conclude that:

X ~ Binomial(n = 6, p = 0.8) and the probability mass function of X is given by:

Now, the probability that no more than two of the 6 family members will contract the flu is given by:

For any queries, feel free to comment and ask.

If the solution was helpful to you, don't forget to upvote it by clicking on the 'thumbs up' button.

Earn Coins

Coins can be redeemed for fabulous gifts.