For all problems on this page, use the following setup: Let N be a positive integer random variable with PMF of the form pN(n)=12⋅n⋅2−n, n=1,2,…. Once we see the numerical value of N , we then draw a random variable K whose (conditional) PMF is uniform on the set {1,2,…,2n} . Joint PMF 1 point possible (graded, results hidden) Write down an expression for the joint PMF pN, K(n, k) . For n=1,2,… and k=1,2,…,2n : pN, K(n, k)=

d. The random variable is the number of years in which the temperature increased from the previous year.

Step-by-step explanation:

The random variable is the amount of years that have higher average temperatures than its previous year.

As the sample is from 5 years, the random variable can take values from 0 (where none of the years increase their average temperature from its previous year) to 4 (where every year increases the average temperature).