3) Given the two-way frequency table below, and one student is chosen, find the probabilities described below. The students at Bertramville High School were surveyed about whether they wanted pizza or burgers at their end-of-year picnic. The data is displayed in the table to the right. と2 burger Total Peshra 121 しりマフフ a) P(pizza and Sophomore) = Suphra 211 189 900 Total 443 777 b) P(pizza or Sophomore) %3D c) P(pizza | Sophomore) = d) P(Freshman U burgers) %3D e) P(Freshman |pizza): %3D f) P(pizza n burgers) = %3D

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Chapter1: Combinatorial Analysis
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3) Given the two-way frequency table below, and one student is chosen, find the probabilities described
below.
The students at Bertramville High School were surveyed about whether they wanted pizza or burgers
at their end-of-year picnic. The data is displayed in the
table to the right.
PIzza burger
しら|フフ
Total
PRshra
a) P(pizza and Sophomore):
189
Total
443
777
b) P(pizza or Sophomore) =
c) P(pizza | Sophomore) =
d) P(Freshman U burgers) =
%3D
e) P(Freshman | pizza) =
%3D
f) P(pizza n burgers) =
Transcribed Image Text:own tap shoes 3) Given the two-way frequency table below, and one student is chosen, find the probabilities described below. The students at Bertramville High School were surveyed about whether they wanted pizza or burgers at their end-of-year picnic. The data is displayed in the table to the right. PIzza burger しら|フフ Total PRshra a) P(pizza and Sophomore): 189 Total 443 777 b) P(pizza or Sophomore) = c) P(pizza | Sophomore) = d) P(Freshman U burgers) = %3D e) P(Freshman | pizza) = %3D f) P(pizza n burgers) =
Expert Solution
Step 1

(a)

The data of the survey is given in the problem.

The probability of pizza is,

Ppizza=Total number of pizzanT

Substitute the values in the above equation.

Ppizza=334777=0.43

The probability of Sophomore is,

Psophomore=Total number of sophomorenT

Substitute the values in the above equation.

Psophomore=400777=0.515

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