Assuming that student incomes from employment in industry during the day are normally distributed with a mean income of $30,000 and a standard deviation of $3,000. a) What is the probability that a...

Assuming that student incomes from employment in industry during the day are normally distributed with a mean income of

$30,000 and a standard deviation of $3,000.

a) What is the probability that a randomly selected student earns more than $30,000?

b) What’s the probability that a randomly selected student earns between $27,000 and $33,000?

c) What’s the probability that the average income of a sample of 30 students is less than $28000?