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Answer:
a) The probability that this whole shipment will be accepted is 30%.
b) Many of the shipments with this rate of defective aspirin tablets will be rejected.
Step-by-step explanation:
We have a shipment of 3000 aspirin tablets, with a 5% rate of defects.
We select a sample of size 48 and test for defectives.
If more than one aspirin is defective, the batch is rejected.
The amount of defective aspirin tablets X can be modeled as a binomial distribution random variable, with p=0.55 and n=48
We have to calculate the probabilities that X is equal or less than 1: P(X≤1).
Answer: 4/15 of the movie
Step-by-step explanation:
In the morning, Charlie watched ¹/₃ of a movie. He then watched some more at night.
At the end of the day, he still had ²/₅ of the movie to watch.
The proportions of an item must always add up to one. This means that if you added the 1/3 to the 2/5 and then to the fraction Charlie watch at night, they should add up to one.
¹/₃ + ²/₅ + x = 1
x = 1 - ¹/₃ - ²/₅