31% of a certain breed of rabbits are born with long hair. What is the probability that in a litter of 8 rabbits, exactly 5 will have long hair
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probability of a rabbit being born with long hairs = 31% = 0.31
probability of a rabbit being born with short hairs = 1- 0.31 = 0.69
"exactly 5 rabbits out of 8 rabbits have long hair" means 5 rabbits should have long hairs and 3 rabbits should have short hairs.
So the probability that in a litter of 8 rabbits, exactly 5 will have long hairs
=(0.31)⁵×(0.69)³
=0.00094
probability of a rabbit being born with short hairs = 1- 0.31 = 0.69
"exactly 5 rabbits out of 8 rabbits have long hair" means 5 rabbits should have long hairs and 3 rabbits should have short hairs.
So the probability that in a litter of 8 rabbits, exactly 5 will have long hairs
=(0.31)⁵×(0.69)³
=0.00094
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