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A random survey of 30 students found that 17 played a musical instrument. If the school has 450 students, predict how many do not play an instrument.

User Jarmund
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Given:

A random survey of 30 students found that 17 played a musical instrument.

Total number of students = 450

To find:

Estimated number of students who do not play an instruments.

Solution:

A random survey of 30 students found that 17 played a musical instrument.

Let E be the event that student play an instrument.

So, probability that a student plays an instrument is


P(E)=(17)/(30)

Probability that a student do not play an instrument is


P(E')=1-P(E)


=1-(17)/(30)


=(13)/(30)

Now, number of students who do not play an instruments is


450* P(E')=450* (13)/(30)


450* P(E')=195

Therefore, 195 students do not play an instrument.

User FredMaster
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