Use the two-way table below to answer the following question. Round the answer to the nearest whole percent. There are 300 seniors at Bellmere Senior

lwfrgin

lwfrgin

Answered question

2021-01-31

Answer the following question using the two-way table below. Round your answer to the nearest whole percentage point. There are 300 seniors at Bellmere Senior High School who are enrolled in elective science classes as shown below.
 PhysicsChemistryTotalMales10068168Females7161132Total171129300
What is the probability that a senior student chosen at random is enrolled in physics given that student is female?

Answer & Explanation

Caren

Caren

Skilled2021-02-01Added 96 answers

Given:
 PhysicsChemistryTotalMales10068168Females7161132Total171129300
We can see from the table that 132 of the 300 seniors are female. The probability is the number of favorable outcomes divided by the number of possible outcomes:
P(Female)=# of favorable outcomes# of possible outcomes=132300
We note that 168 of the 300 seniors in the table are female and are enrolled in physics. P(Female and physics)=# of favorable outcomes# of possible outcomes=71300
Let us use the definition Conditional probability: P(B|A)=P(AB)P(A)=P(A and B)P(A)
P(physics|Female)=P(Female and physics)P(Female)
=71300132300
=71132
0.5379
=53.79%
Answer: 71132=≈0.5379=53.79%

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