Left handed

It is known that 25% of the population is left-handed. What is the probability that there is a maximum of three left-handers at a seminar where there are 30 participants?

Correct result:

p =  3.7449 %

Solution:

q=25/100=14=0.25 r=1q=10.25=34=0.75 C0(30)=(300)=30!0!(300)!=11=1  p0=(300) q0 r300=1 0.250 0.753000.0002 C1(30)=(301)=30!1!(301)!=301=30  p1=(301) q1 r301=30 0.251 0.753010.0018 C2(30)=(302)=30!2!(302)!=302921=435  p2=(302) q2 r302=435 0.252 0.753020.0086 C3(30)=(303)=30!3!(303)!=302928321=4060  p3=(303) q3 r303=4060 0.253 0.753030.0269  p=100 (p0+p1+p2+p3)=100 (0.0002+0.0018+0.0086+0.0269)=3.7449%



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