SOLUTION: The probability of catching a certain disease in a village is 2/5. If 6 persons are taken at random from the village. What is the probability that (a) Only 3 people have the diseas

Question 1160302: The probability of catching a certain disease in a village is 2/5. If 6 persons are taken at random from the village. What is the probability that (a) Only 3 people have the disease (b) almost 2 people have the disease
(C) at least 4 people have the disease (d) almost 1 person has the disease (e) at least 1 person has the disease
Found 2 solutions by Boreal, ikleyn:
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
p=0.4 of getting the disease
of a sample of 6
probability nobody has it is 0.6^6=0.0467
for 1:0.1866
2:0.3110
3:0.2765
4:0.1382
5:0.0367
6:0.0041
For a. It is 0.2765
b. almost 2 people doesn't make sense. At most 2 people means probability of 0, 1, 2 and that is 0.5443
c. at least 4 people means 4,5,6 and that probability is 0.1790
d. at most 1 person has the disease is p(0) and p(1)=0.2333
e. at least 1 person has the disease is 1-p(0) or 0.9533.
Note, there is some rounding in the above calculations, so to four decimal places there may be slightly different answers using a calculator.
Answer by ikleyn(52879) (Show Source): You can put this solution on YOUR website!
.

From a dictionary, learn the meaning of the word "almost".

You use it incorrectly.

You use it TWICE in your post, which means that it is not a typo.

Use the terms and the words properly.

When you are not sure, if you use the words properly, consult a dictionary . . .

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