Question

9. [Maximum mark: 16 A company makes containers of yogurt. The volume of yogurt in the containers is normally distributed with a mean of 260 ml and standard deviation of 6ml. A container which contains less than 250ml of yogurt is underfilled (a) A container is chosen at random. Find the probability that it is underfilled The company decides that the probability of a container being underfilled should be reduced to 0.02. It decreases the standard deviation to ơ and leaves the mean unchanged. (b) Find The company changes to the new standard deviation. ơ, and leaves the mean unchanged. 14] A container is chosen at random for inspection. It passes inspection if its volume of yogurt is between 250 and 271 ml. Find the probability thet it passes inspection (ii) Given that the container is not underfilled, find the probability that it passes (c) inspection. Find the probability that 48 or more of A sample of 50 containers is chosen at random. the containers pass inspection. (d)

Answer 1

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