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

The expected number of tests needed for a group of size 12 in batch testing is 7.86.

Step-by-step explanation:

To determine the expected number of tests needed for a group of size 12, we need to calculate the expected value.

In batch testing, each batch of size 12 is tested once.

The probability that a batch of size 12 tests negative is 0.655.

Therefore, the expected number of tests needed for a group of size 12 is the product of the batch size (12) and the probability of a negative test (0.655).

Expected Number of Tests = 12 * 0.655 = 7.86