On Mr. Casper’s debate team at Thunderbird High School, 20% of the members are Sophomores, 35% are Juniors and 45% are Seniors. A team member is selected randomly to give the closing argument for the team. If a sophomore gives the closing argument, the team has a probability of 0.25 of winning the debate. If a junior gives the closing argument, the probability of winning is 0.6. If a senior closes, the probability of winning is 0.85.

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29-04-2020
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On Mr. Casper’s debate team at Thunderbird High School, 20% of the members are Sophomores, 35% are Juniors and 45% are Seniors. A team member is selected randomly to give the closing argument for the team. If a sophomore gives the closing argument, the team has a probability of 0.25 of winning the debate. If a junior gives the closing argument, the probability of winning is 0.6. If a senior closes, the probability of winning is 0.85.

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TomShelby TomShelby · Answer 1 · 2020-04-30T03:55:08+02:00

Answer:

here is a 63.25% for winning the debate given the student distribution and the chance of success of each type of student.

Explanation:

As the student will be picked at random we can determiante the expected value by doing a weighted average:

[tex]\left[\begin{array}{cccc}$Student&$Return&$Probability&$Weight\\$Sophomore&0.2&0.2&0.04\\$Junior&0.6&0.35&0.21\\$Senior&0.85&0.45&0.3825\\Total&&1&0.6325\\\end{array}\right][/tex]