Question

At Ersatz University, the graduating class of 480 includes 96 guest students from Latvia. A sample of 10 students is selected at random to attend a dinner with the Board of Governors. Use the binomial model to obtain the approximate hypergeometric probability that the sample contains at least three Latvian students.

Answer 1

Answer:

Binomial distribution:

Probability of being a student from Latvia,p=96/480=0.2

Probability of not being a student from Latvia,1-p=1-0.2=0.8

P(k>=3)=1-P(k<=2)

=1-(10C₀*0.20*0.810+10C₁*0.21*0.89+10C₂*0.22*0.88)

=1-(0.1074+0.2684+0.302)

=1-0.6778

=0.3222

Explanation: