SOLUTION: Assignment: Suppose that in a certain malarious area past experience indicates that the probability of a person with a high fever will be positive for malaria is 0.7. Consider 3

Algebra.Com
Question 1188222: Assignment:
Suppose that in a certain malarious area past experience indicates that the
probability of a person with a high fever will be positive for malaria is 0.7. Consider 3 randomly selected patients (with high fever) in that same area. 1) What is the probability that no patient will be positive for malaria?
2) What is the probability that exactly one patient will be positive for malaria?
3) What is the probability that exactly two of the patients will be positive for
malaria?
4) What is the probability that all patients will be positive for malaria?
5) Find the mean and the SD of the probability distribution given above.

Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
the mean is np=2.1 cases
variance is np(1-p)=0.63 cases^2
sd is sqrt (V)=0.79 cases
-
no positive patients is 0.3^3=0.027
exactly 1 positive is 3*0.7*0.3^2 since three ways that can happen=0.189
exactly 2 positives is 3*0.7^2*0.3=0.441
exactly 3 positives is 0.7^3=0.343
Those 4 possibilities add to 1.0

RELATED QUESTIONS

Suppose that in a certain malarias area past experience indicates that the probability of (answered by Boreal)
suppose that in a certain area, past experience indicates that the probability of a... (answered by ikleyn)
It is known from the past experience that in a certain section of a road there are on the (answered by ikleyn)
Past experience indicates that 30% of all individuals entering a certain store decide to... (answered by stanbon)
Past experience indicates that an average number of 6 customers per hour stop for... (answered by ewatrrr)
10. Experience has shown that a certain lie detector will show a positive reading... (answered by leko)
past experience suggest that 43% of students pass a certain exam. If a class contains 150 (answered by ewatrrr)
past experience shows that 1% of lightbulbs produced in a plant are defective find the... (answered by ikleyn)
On the colorimetric analysis to detect the presence of nitrates in the water of the... (answered by Glaviolette)