help with explanation

A manufacturer in New York knows that their items have a normally distributed lifespan, with a mean of 4.1 years, and standard deviation of 1.1 years. If you randomly purchase 23 items, what is the probability that their MEAN life will be longer than 4 years? Round your probability to 4 decimals. P( X > 4) = Showing work is REQUIRED.Suppose was of adults in Tanzania work from home. If we want to find the probability.r that fewer than 12 out of a random sample of 26D adults will work from home, 1. What is the associated zvscore for the sample proportion {to 2 decimals]? a = |. .| 1. What is the probability? .. 22 -- . P(p {6. ) I . [Round to 4 deCImalsJ Showing work is REQUIRED