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In a large population of high school students, 20% have experienced math anxiety. If you take a random sample of 10 students from this population, what is the probability that exactly two students have experienced math anxiety?

Answer 1

Hazel Anglin

Probability that exactly two students have experienced math anxiety

#p_((x=2))= 0.3#

Probability of a randomly chose student to have maths anxiety #=20% or 0.2#

#p=0.2# Then - #q=1-p# #q=1-0.2=0.8# Probability that exactly two students have experienced math anxiety

#p_((x))= _nC_x*p^x*q^(n-x)# #p_((x=2))= _10C_2* 0.2^2*0.8^(10-2)# #p_((x=2))= 45* 0.04*0.1678# #p_((x=2))= 0.3#

Note: Value of #_10 C_2# is calculated from calculator

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Answer 2

Julia Adams

The probability that exactly two students have experienced math anxiety in a random sample of 10 students from the population is approximately 0.302.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.