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Suppose that 20% of a herd of cows is infected with a particular disease. 1) Wha

ID: 3322579 • Letter: S

Question

Suppose that 20% of a herd of cows is infected with a particular disease.

1) What would be the standard deviation? Interpret it in context.

2) What is the probability that the first diseased cow is the 3rd cow tested or sooner?

3) Explain why P(X=0) is nonsensical in a geometric setting.

4) Construct a probability distribution table for X( up through X=5) Display information in both a table form and in a histogram

Geometric Probability WS AP Statistics Nan Suppose that2 f cows is infected with a

Explanation / Answer

SOLUTION :-

5.

Probability that the first diseased cow is 3rd cow

P(X=3) = (0.8)2 0.2 = 0.64 * 0.2 = 0.128

P(X=3) = geom pdf (0.2,3) = 0.128

7.

Probability distribution table for X =5 is given as

X 1 2 3 4 5 P(X=k) 0.2 0.16 0.128 0.1024 0.08192
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