Binomial probability

What is the binominal probability that at least 4 of the six trials (n=6) are succeeded where φ = 0.50?

Correct answer:

p =  0.3438

Step-by-step explanation:

φ=0.50  p4=(46)φ4(1φ)64=(46)0.54(10.5)64=64150.2344 p5=(56)φ5(1φ)65=(56)0.55(10.5)65=3230.0938 p6=(66)φ6(1φ)66=(66)0.56(10.5)66=6410.0156  p=p4+p5+p6=6415+323+641=6415+646+641=6415+6+1=6422=0.3438

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