Open with Probability: Expected Value II.C Student Activity Sheet 9: Binomial Probability and Expected Value At the National Baseball Batting Contest, the organizers have set up game booths for the...

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Open with<br>Probability: Expected Value<br>II.C Student Activity Sheet 9: Binomial Probability and Expected Value<br>At the National Baseball Batting Contest, the organizers have set up game booths for the<br>contestants. Richard wants to win a large stuffed animal. The rules of the game are as<br>follows:<br>You are pitched 5 fastballs, and you must hit them into a fair zone to count.<br>If you successfully hit all 5 pitches, you win a large stuffed animal.<br>If you successfully hit 3 or 4 pitches, you win a small stuffed animal.<br>If you successfully hit 1 or 2 pitches, you win a bat-shaped pencil.<br>If you miss all the pitches, you do not win a prize.<br>The game costs $3 to play (each set of 5 fastballs).<br>1. What are the possible outcomes that Richard can have on his 5 swings? Explain or show<br>how you arrived at your answer?<br>2. What is the probability of Richard successfully hitting the following? Justify your answers.<br>a. All 5 pitches?<br>b. 4 pitches?<br>c. 3 pitches?<br>d. 2 pitches?<br>e. 1 pitch?<br>f. 0 pitches?<br>Page<br>1 / 2<br>

Extracted text: Open with Probability: Expected Value II.C Student Activity Sheet 9: Binomial Probability and Expected Value At the National Baseball Batting Contest, the organizers have set up game booths for the contestants. Richard wants to win a large stuffed animal. The rules of the game are as follows: You are pitched 5 fastballs, and you must hit them into a fair zone to count. If you successfully hit all 5 pitches, you win a large stuffed animal. If you successfully hit 3 or 4 pitches, you win a small stuffed animal. If you successfully hit 1 or 2 pitches, you win a bat-shaped pencil. If you miss all the pitches, you do not win a prize. The game costs $3 to play (each set of 5 fastballs). 1. What are the possible outcomes that Richard can have on his 5 swings? Explain or show how you arrived at your answer? 2. What is the probability of Richard successfully hitting the following? Justify your answers. a. All 5 pitches? b. 4 pitches? c. 3 pitches? d. 2 pitches? e. 1 pitch? f. 0 pitches? Page 1 / 2

Jun 04, 2022
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