a) Hint: is standard deviations away from the mean.
b) There is a number such that the interval comprises 50% of the distribution. Determine a in terms of the standard deviation.
Using this information, you can find both answers with a table.
Can anyone help me understand how to do these questions?
I f the number of meals served in a hospital is a normal distribution with amean of 250 and a standard deviation of 37
a) What is the probability that more than 300 meals are served?
B) For the middle 50% of the distribution, what is the range of the number of meals served?
Suffice it to say that the probability density function for the normal distribution is a specific probability density function that describes the normal distribution in particular. If you don't know what that function is, and you don't have a table, then I'm not sure how you're supposed to solve the problem either.
Most statistics books have tables in the back that give you the information you need to solve problems relating to specific types of distributions, the normal distribution being the most common.
For instance, I have a table in my statistics book that gives me the probability of x being farther than 1.35 standard deviations from the mean in the positive direction, which is the answer to (a).