Malaria is a debilitating and potentially deadly parasitic infection. It can be

Question

Malaria is a debilitating and potentially deadly parasitic infection. It can be cured and is mostly preventable with community health precautions but many developing countries lack the necessary resources. The West African Country of Guinea has a high rate of malaria, with 70% of its population infected.

A physician from "Doctors without Borders" sees 4 patients in a given hour.

Assume the patient visits are independent.

Let X be the count of patients who are infected with malaria among the 4 patients seen in any random one hour.

c) What is the question that can be answered by a Binomial distribution?

d) State the probability distribution of X above (type and its parameters): X~ …………….

e) State the formula for P(X=x) and define all terms used:

Explanation / Answer

c) What is the question that can be answered by a Binomial distribution?

Answer:

By using the Binomial distribution we can answer the question, “What is the probability of exact or less than or greater than ‘X’ patients out of total four patients are infected with malaria?

d) State the probability distribution of X above (type and its parameters):

Answer:

The probability distribution of X follows a binomial distribution with the parameters n = 4 and p = 0.70. Symbolically, it is given as below:

X~ Bin(n=4, p = 0.7)

e) State the formula for P(X=x) and define all terms used:

Answer:

The formula for P(X=x) is given as below:

P(X=x) = nCx*p^x*q^(n – x)

Where,

X is the count of patients who are infected with malaria

n is the sample size (here, we have n = 4)

nCx is the combination of x items out of n items

p is the probability of success or favorable event (here, we have p = 0.7)

q = 1 – p (for the given scenario, q = 1 – 0.7 = 0.3)

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