67% of years will have an annual rainfall of less than 43 inches.
What is percentage ?
In mathematics, a percentage is a number or ratio expressed as a fraction of 100. It is often indicated by the percent sign '%', but the abbreviations 'pct.', 'pct', and 'pc' are also sometimes used. Percentages are dimensionless numbers. It has no units of measure.
Calculation
- we've got a population with a mean of 40.6 and the standard deviation of 5.3,
- we're told this is this follows a normal distribution.
- So if we want to find the probability That we're going to have less than 43, we're gonna use normal Cdef since we want less.
- Then we're gonna first put in a really, really, really small number for our lower bound, our upper bound is 43 are mean is 40.6.
- Standard deviation 5.3. So this gives us .6747. Next we want to find the probability that we're gonna be greater than 38.
- So we're gonna use normal C. D. F.
- This time since we went greater than 38 is our lower bound a really, really, really big numbers are upper bound, 40.6 is our means the innovation 5.3 and this gives us .6881.
- And then lastly, we want the probability That we're going to be greater than 37, but less than 42. So, normal CDF Lower bound 37.
- Upper bound 42, I mean 40.6 standard deviation 5.3 and this gives us a probability of .3557
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