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The concentration of particles in a suspension is 48 per mL. A 5 mL volume of...

The concentration of particles in a suspension is 48 per mL. A 5 mL volume of the suspension is withdrawn.

a. What is the probability that the average number of particles per mL in the withdrawn sample is between 46 and 50?

b. If a 10 mL sample is withdrawn, what is the probability that the average number per mL of particles in the withdrawn sample is between 46 and 50?

c. How large a sample must be withdrawn so that the average number of particles per mL in the sample is between 46 and 50 with probability of 95%?

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