Question

a certain hurricane database extends back to 1851, recording among other data the number of major hurricanes (measuring at least a category 3) striking a certain region per year. the following table provides a probability distribution for the number of major hurricanes, y, for a randomly - selected year between 1851 and 2012. complete parts (a) through (f) below.
\

$$\begin{tabular}{|c|c|c|c|} \\hline y & p(y = y) & y & p(y = y) \\\\ \\hline 0 & 0.182 & 5 & 0.041 \\\\ \\hline 1 & 0.281 & 6 & 0.027 \\\\ \\hline 2 & 0.264 & 7 & 0.008 \\\\ \\hline 3 & 0.078 & 8 & 0.082 \\\\ \\hline 4 & 0.037 & & \\\\ \\hline\\end{tabular}$$

a. use random - variable notation to represent the event that the year had at least one major hurricane. select the correct choice below and fill in the answer box within your choice.
oa. p(\square)
ob. \square

Explanation:

Step1: Define the random - variable

Let \(Y\) be the number of major hurricanes.

Step2: Interpret "at least one"

The event that the year had at least one major hurricane means \(Y\geq1\). In random - variable notation, we can write this as \(P(Y\geq1)\).

Answer:

A. \(P(Y\geq1)\)