The volume of a shampoo ?lled into a container is uniformly distributed between 374 and 380 milliliters.

(a) What is the probability density function of the volume of a shampoo in a container?

(b) What is the cumulative distribution function of the volume of a shampoo in a container?

(c) What are the mean and standard deviation of the volume of shampoo in a container?

(d) What is the probability that the container is ?lled with less than the advertised target of 375 milliliters?

(e) What is the volume of shampoo that is exceeded by 95% of the containers?

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