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NAME$\newline$$\quad$$\newline$DATE$\newline$$\quad$$\newline$PERIOD$\newline$$\quad$$\newline$Lesson $7$ Homework Practice$\newline$Theoretical and Experimental Probability$\newline$The table shows the results of an experiment in which a spinner was spun $50$ times. Find the experimental probability of each outcome.$\newline$$\newline$$P(\text{ less than } 4)$$\newline$$\newline$Number$\newline$Frequency$\newline$Number$\newline$Frequency$\newline$$\newline$$1$$\newline$$||$$\newline$$||$$\newline$$9$$\newline$$||$$\newline$$||$$\newline$$\newline$$\quad$$1$$\newline$$||$$\newline$$\quad$$3$$\newline$$||$$\newline$$\newline$$\quad$$5$$\newline$$||$$\newline$$\quad$$7$$\newline$$\quad$$8$$\newline$$\newline$$\quad$$9$$\newline$$||$$\newline$$||$$\newline$$\quad$$2$$\newline$$||$$\newline$$||$$\newline$$\newline$$\quad$$5$$\newline$$||$$\newline$$||$$\newline$$\quad$$8$$\newline$$||$$\newline$$||$$\newline$$\newline$$50$$1$$\newline$$||$$\newline$$50$$3$$\newline$$||$$\newline$$\newline$$50$$5$$\newline$$||$$50$$7$$\newline$$50$$8$$\newline$$||$$\newline$$\newline$$P(\text{ less than } 4)$$0$$\newline$$||$$\newline$$P(\text{ less than } 4)$$2$$\newline$$||$$\newline$$\newline$The table on the right shows the type and number of businesses in Wilsonville. If there are $\newline$$P(\text{ less than } 4)$$4$ businesses in the nearby town of Newberry, predict how many of each type of business there would be in Newberry.$\newline$$5$. grocery stores$\newline$$6$. retail stores$\newline$$7$. restaurants$\newline$$8$. pet shops and copy shops$\newline$$\newline$Business Type$\newline$Number$\newline$$\newline$Grocery Store$\newline$$\quad$$3$$\newline$$\newline$Retail Store$\newline$$P(\text{ less than } 4)$$6$$\newline$$\newline$Copy Shop$\newline$$50$$1$$\newline$$\newline$Restaurant$\newline$$P(\text{ less than } 4)$$8$$\newline$$\newline$Car Dealership$\newline$$\quad$$5$$\newline$$\newline$Pet Shop$\newline$$\quad$$3$$\newline$$\newline$The table shows the results of a survey conducted by a local restaurant of some of its customers. The customers were asked what new menu item they would prefer to see added to the menu from the choices provided.$\newline$$\newline$Restaurant Survey$\newline$$\newline$Item$\newline$$\newline$Chicken$\newline$$\newline$Carbonara$\newline$$\newline$Beef Tips$\newline$$\newline$Shrimp$\newline$$\newline$Scampi$\newline$$\newline$$\newline$$\newline$Number of$\newline$$\newline$Responses$\newline$$\newline$$1$$1$$\newline$$1$$2$$\newline$$1$$3$$\newline$$\newline$What is the probability of beef tips being the preferred new menu item?$\newline$Out of a similar group of $1$$4$ customers, predict how many would choose beef tips as their preferred new menu item?$\newline$Out of a similar group of $1$$5$ customers, predict how many more customers will prefer chicken carbonara to shrimp scampi?$\newline$Melinda purchased a snack-size roll of candy tarts, and found that only $\newline$$1$$6$ of them were grape-flavored. Suppose Melinda later buys a king-size roll of candy tarts that contains $P(\text{ less than } 4)$$8$ pieces. How many of that roll can she expect to be grape-flavored?$\newline$A soccer coach is dividing his players into groups of five. Kate, Jocilyn, Monty, Giorgianna, and Henry are in one group. Each one of their names is written on a separate piece of paper. The coach draws a name each week (and then replaces it for the next week) to find the group leader.$\newline$$13$. Predict the number of times that Giorgianna's name will be drawn in $1$$8$ weeks. Round to the nearest whole number.$\newline$$14$. Kate's name was actually drawn $P(\text{ less than } 4)$$0$ times during the $1$$8$-week period. What was the experimental probability that Kate's name was drawn, and how does it compare to the theoretical probability?$\newline$Math Accelerated - Chapter $10$ Statistics and Probability