Chapter 11.7, Problem 53E

(a)

To determine

To calculate: The probability that South Florida will be hit by a major hurricane two years in a row where according to the Nation Hurricane Centre, a major hurricane being hit at the south Florida in a single year has a probability of $\frac{1}{16}$.That is,

$P\left(\text{hit}\right)=\frac{1}{16}$.

(b)

To determine

To calculate: The probability that South Florida will be hit by a major hurricane in three consecutive years where according to the Nation Hurricane Centre, a major hurricane being hit at the south Florida in a single year has a probability of $\frac{1}{16}$.That is,

$P\left(\text{hit}\right)=\frac{1}{16}$.

(c)

To determine

To calculate: The probability that South Florida will not be hit by a major hurricane in the next 10 years According to the Nation Hurricane Centre, a major hurricane being hit at the south Florida in a single year has a probability of $\frac{1}{16}$.That is,

$P\left(\text{hit}\right)=\frac{1}{16}$.

(d)

To determine

To calculate: The probability that South Florida will be hit by a major hurricane at least once in the next 10 years where according to the Nation Hurricane Centre, a major hurricane being hit at the south Florida in a single year has a probability of $\frac{1}{16}$.That is,

$P\left(\text{hit}\right)=\frac{1}{16}$.