Question

the last 48 boat rentals at a boat rental company were 26 sunfish, 6 kayaks, and 16 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) = (type an integer or a simplified fraction.)
b) p(kayak) = (type an integer or a simplified fraction.)
c) p(rowboat) = (type an integer or a simplified fraction.)

Explanation:

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<reasoning>

Calculate empirical probability for sunfish

\[
P(\text{sunfish}) = \frac{26}{48} = \frac{13}{24}
\]

Calculate empirical probability for kayak

\[
P(\text{kayak}) = \frac{6}{48} = \frac{1}{8}
\]

Calculate empirical probability for rowboat

\[
P(\text{rowboat}) = \frac{16}{48} = \frac{1}{3}
\]
</reasoning>

<answer>

Question a

a) \(P(\text{sunfish}) =\) <blank>\(\frac{13}{24}\)</blank> (Type an integer or a simplified fraction.)

Question b

b) \(P(\text{kayak}) =\) <blank>\(\frac{1}{8}\)</blank> (Type an integer or a simplified fraction.)

Question c

c) \(P(\text{rowboat}) =\) <blank>\(\frac{1}{3}\)</blank> (Type an integer or a simplified fraction.)
</answer>

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"Mathematics",
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"Empirical Probability"
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Answer:

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<reasoning>

Calculate empirical probability for sunfish

\[
P(\text{sunfish}) = \frac{26}{48} = \frac{13}{24}
\]

Calculate empirical probability for kayak

\[
P(\text{kayak}) = \frac{6}{48} = \frac{1}{8}
\]

Calculate empirical probability for rowboat

\[
P(\text{rowboat}) = \frac{16}{48} = \frac{1}{3}
\]
</reasoning>

<answer>

Question a

a) \(P(\text{sunfish}) =\) <blank>\(\frac{13}{24}\)</blank> (Type an integer or a simplified fraction.)

Question b

b) \(P(\text{kayak}) =\) <blank>\(\frac{1}{8}\)</blank> (Type an integer or a simplified fraction.)

Question c

c) \(P(\text{rowboat}) =\) <blank>\(\frac{1}{3}\)</blank> (Type an integer or a simplified fraction.)
</answer>

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