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At Tasty Dogs, $2$ of the last $12$ customers wanted mustard on their hot dogs. Considering this data, how many of the next $6$ customers would you expect to want mustard? $\newline$ ____ customers $\newline$

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Q. At Tasty Dogs,

2

of the last

12

customers wanted mustard on their hot dogs. Considering this data, how many of the next

6

customers would you expect to want mustard?

\newline

____ customers

\newline

Calculate Total Customers: Calculate the total number of customers and those who wanted mustard. $\newline$ Customers who wanted mustard: $2$ $\newline$ Total customers: $12$ $\newline$ Calculate the probability of customers wanting mustard. $\newline$ $P(\text{mustard}) = \frac{\text{Number of mustard customers}}{\text{Total customers}}$ $\newline$ $P(\text{mustard}) = \frac{2}{12}$ $\newline$ $P(\text{mustard}) = \frac{1}{6}$
Calculate Probability of Mustard: Use the probability to predict the number of customers who will want mustard in the next $6$ customers. $\newline$ Expected number of mustard customers = $P(\text{mustard}) \times \text{Number of new customers}$ $\newline$ Expected number of mustard customers = $\frac{1}{6} \times 6$ $\newline$ Expected number of mustard customers = $1$

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