Current research indicates that the distribution of the life expectancies of a certain protozoan is normal with a mean of 48 days and a standard deviation of 10.2 days. find the probability that a simple random sample of 49 protozoa will have a mean life expectancy of 49 or more days.

is the random variable for lifespan of a protozoan and . Let be the mean of a sample from this distribution, so that .

For the sake of clarity, I'm denoting a normal distribution with mean and standard deviation by .

We have

(where follows the standard normal distribution)

its d. the first coordintaes are 10,32

step-by-step explanation: