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The librarian continues to record the type of item that the next 20 patrons check out from the library. patron item type 11 fiction book 12 non-fiction book 13 fiction book 14 fiction book 15 fiction book 16 non-fiction book 17 fiction book 18 non-fiction book 19 fiction book 20 DVD 21 fiction book 22 non-fiction book 23 fiction book 24 fiction book 25 audiobook 26 fiction book 27 DVD 28 non-fiction book 29 fiction book 30 DVD Based on the information from these patrons, estimate the probability that the next patron will check out a fiction book.

Sagot :

MrRoyalidn

Answer:

[tex]Pr = 0.55[/tex]

Step-by-step explanation:

Given

Represent the dataset with the following frequency table

[tex]\begin{array}{cc}{Item} & {Frequency} & {Fiction\ Book} &{11} & {Non\ Fiction\ Book} & {5} & {DVD} & {3} & {Audiobook} & {1} \ \end{array}[/tex]

Required

Probability that the next checkout will be fiction

From the above frequency table, we have:

[tex]Fiction\ Book = 11[/tex]

[tex]n =20[/tex] --- total

So, the probability that the next checkout item is a fiction book is:

[tex]Pr = \frac{Fiction\ Book}{n}[/tex]

[tex]Pr = \frac{11}{20}[/tex]

[tex]Pr = 0.55[/tex]

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