Question

3. A neighborhood has 32 households – 27 white, and 5 nonwhite. A subset of 9 of these households move to an adjacent neighborhood. What is the probability that less than two of the households in the new neighborhood are nonwhite?

4. Hurricanes strike Florida at an average rate of 1 every 5.3 years. What is the probability that Florida will be struck by two or more such hurricanes over the next decade (ten years)?  

Please Help I really need help!!!

Answer 1

3.Number of Non-white household- 5

Number of White household- 27

Total number of household - 32

Let X be the number of non white households in the new household

P( less than 2 is non white in the new household)

= P ( X < 2)

= P( X= 0) + P( X= 1)

= +

= 0.5628

4. Rate of Hurricane strike = 1 every 5.3 years

= 1/5.3 per year

= (1/5.3) *10 per 10 years

= 1.8868

Let X be the number of Hurricanes Strikes

X~ Poisson ( 1.8868)

P( X>=2) = 1- P( X <2)

= 1- 0.4375

=0.5625