The last 42 boat rentals at a boat rental company were 22 suntish, 14 kayaks, and 6 rowboats. Use this information to complete parts (a) through (c). a) Determine the empirical probability that the next boat rental is a sunfish. b) Determine the empirical probability that the next boat rental is a kayak. c) Determine the empirical probability that the next boat rental is a rowboat. a) \( P( \) sunfish \( =\square \) (Type an integer or a simplified fraction.) b) \( P( \) (kayak \( )=\square \) (Type an integer or a simplified fraction.) c) \( P( \) rowboat \( )=\square \) (Type an integer or a simplified fraction.)

To calculate the empirical probabilities for each type of boat rental, we need to divide the number of each type of boat by the total number of rentals. **a)** The probability that the next boat rental is a sunfish is given by: \[ P(\text{sunfish}) = \frac{\text{Number of sunfish rentals}}{\text{Total rentals}} = \frac{22}{42} = \frac{11}{21} \] **b)** The probability that the next boat rental is a kayak is calculated as follows: \[ P(\text{kayak}) = \frac{\text{Number of kayak rentals}}{\text{Total rentals}} = \frac{14}{42} = \frac{1}{3} \] **c)** The probability that the next boat rental is a rowboat is found using the same formula: \[ P(\text{rowboat}) = \frac{\text{Number of rowboat rentals}}{\text{Total rentals}} = \frac{6}{42} = \frac{1}{7} \] So, the final answers are: a) \( P(\text{sunfish}) = \frac{11}{21} \) b) \( P(\text{kayak}) = \frac{1}{3} \) c) \( P(\text{rowboat}) = \frac{1}{7} \)