The annual rainfall (in inches) in a certain region is normally distributed with mean μ = 40 inches and standard deviation σ = 4 inches. what is the probability that, starting with this year, it will take over 10 years before a year occurs having a rainfall of over 50 inches? what assumptions are you making?

0.005826

Step-by-step explanation:

Given that the annual rainfall (in inches) in a certain region is normally distributed with mean μ = 40 inches and standard deviation σ = 4 inches

We have each year is independent of the other and there are two outcomes

p = Probability for a particular year to have rainfall of over 50 inches

=P(X>50)

= 1-0.9938

=0.0062

P(X<50) = 0.9938

Reqd probability

= P(X<50) for 10 years * P(X>50) on 11th year

=

Assumptions we made:

Each year is independent of the other.

describing distributions is one of the key skills you’ll need to earn a high score on the ap statistics exam. if you need proof of this, just flip through some past exam questions, which can be found at the collegeboard website. you’ll notice that the first free response question is almost always a question requiring you to look at a graph and describe it.

step-by-step explanation: just trying to get points sorry : (

80 the answer is 80

step-by-step explanation: