Abiotechnology company produced 196 doses of somatropin, including 9 which were defective. quality control test 10 samples at random, and rejects the batch if any of the random samples are found defective. what is the probability that the batch gets rejected?

0.3756

Step-by-step explanation:

Given : A biotechnology company produced 196 doses of somatropin, including 9 which were defective.

Proportion of defective doses of somatropin :

Using binomial probability formula,

If Quality control test 10 samples at random, and rejects the batch if any of the random samples are found defective.

Then, the probability that the batch gets rejected will be :-

Hence, the probability that the batch gets rejected = 0.3756

256π units²   (answer b)

step-by-step explanation:

the formula for the surface area of a sphere of radius r

is             a = 4πr²

and so, if r = 8 units, then the surface area is:

a = 4π(8 units)² = 256π units²   (answer b)

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step-by-step explanation: