Question

Suppose that we are doing batch testing with batches of size 12. Suppose that the probability that a batch of size 12 tests negative is .655. Determine the expected number (expected value) of tests needed for a group of size 12.

Answer 1

Answer:

$E(x) = 7.86$

Step-by-step explanation:

Given

Represent the size with n and the probability with p

$n = 12$

$p = 0.655$

Required

Determine the expected value; E(x)

$E(x) = np$

$E(x) = 12 * 0.655$

$E(x) = 7.86$

Hence, the expected value is 7.86