A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and test 30 tablets, then accept the whole batch if there is only one or none that doesn't meet the required specifications. If a particular shipment of thousands of aspirin tablets actually has a 5% rate of defects, what is the probability that this whole shipment will be accepted?

Step-by-step explanation:

Given that a pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and test 30 tablets, then accept the whole batch if there is only one or none that doesn't meet the required specifications.

Probability for any random tablet to be defective is 0.05

Since 1000 s of tablets are there, we can assume that this p = 0.05 is constant for each draw and hence X no of defectives is binomial with n =30 and p =0.05

Prob that this whole shipment will be accepted

= P(X≤1)

=

there are 70 more legs than eyes at the dog show (196 – 126 = 70). dogs have two more legs than eyes, and humans have the same number of legs as eyes. thus 70 is twice the number of dogs at the show, so the number of dogs is half of 70, which is 35. to get the number of humans, subtract 35 from 63: 63 – 35 = 28.

step-by-step explanation: