Question

a research hurricanes database extends back to 1851, recording among other data the number of major hurricanes (measuring at least a category 3 storm) in a certain region per year. the following 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).

y	p(y = y)	y	p(y = y)
1	0.281	6	0.037
2	0.204	7	0.008
3	0.178	8	0.002
4	0.037

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.
a. p( )
b. p(y≥1)

b. use random - variable notation to represent the event that the year had exactly eight major hurricanes. select the correct choice below and fill in the answer box within your choice.
a.
b. p( )

Explanation:

Step1: Define event for at - least one hurricane

The event that the year had at least one major hurricane means \(Y\geq1\). In random - variable notation, it is \(P(Y\geq1)\).

Step2: Define event for exactly eight hurricanes

The event that the year had exactly eight major hurricanes is represented as \(P(Y = 8)\) in random - variable notation.

Answer:

a. \(P(Y\geq1)\)
b. \(P(Y = 8)\)