A decision maker has developed the decision tree shown in the following figure.

Decision Tree

Description

A decision tree begins at a decision node from which two branches extend to the right. The upper branch, labeled $N,$ stops at a value of $45.$

The lower branch, labeled $P,$ stops at a chance node from which an upper and lower branch extend to the right. The upper branch, labeled $U,$ stops at the value $70.$ The lower branch, labeled $V,$ stops at the value $5.$

How sensitive is the choice between $N$ and $P$ to the probabilities of states of nature $U$ and $V,$ and which would you choose? $($Let $p=P(U).$ Round your answer to four decimal places.$)$

The decision maker should choose $N$ if $$ is greater than or equal to and less than or equal to