Question: Please show your work on how to do these! Current research indicates that the distribution of the life expectancies of a certain protozoan is normal

Please show your work on how to do these!

Current research indicates that the distribution of the life expectancies of a certain protozoan is normal with a mean of 49 days and a standard deviation of 10.5 days. Find the probability that a simple random sample of 49 protozoa will have a mean life expectancy of 50 or more days.

Find a value of c so that P(Z c) = 0.53

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