find the probability that atmost 5 such patients recently admitted to hospital are chain smokers? solve by using binomial distribution
Question
find the probability that atmost 5 such patients recently admitted to hospital are chain smokers? solve by using binomial distribution
Solution
To solve this problem using the binomial distribution, we need to know two things: the total number of patients recently admitted to the hospital (n) and the probability that any given patient is a chain smoker (p).
The binomial distribution formula is:
P(X=k) = C(n, k) * (p^k) * ((1-p)^(n-k))
Where:
- P(X=k) is the probability of k successes in n trials
- C(n, k) is the combination of n items taken k at a time
- p is the probability of success on an individual trial
- (1-p) is the probability of failure on an individual trial
To find the probability that at most 5 patients are chain smokers, we need to find the sum of the probabilities that exactly 0, 1, 2, 3, 4, and 5 patients are chain smokers.
So, P(X<=5) = P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5)
Without the values of n and p,
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