SOLUTION: According to the theory of genetics, a certain cross of rat will result in white-black in the ratio of 8:5.? a) What is the probability that among 9 such offspring, 5 will be whit

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Question 1177492: According to the theory of genetics, a certain cross of rat will result in white-black in the ratio of 8:5.?
a) What is the probability that among 9 such offspring, 5 will be white? (accurate to 4 decimal places)
b) What is the expected number of black rats from part a)?
thanks
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
Binomial Distribution:
TI syntax for P(x-value) is binompdf(n, p, x-value).
 white-black in the ratio of 8:5 ...p(W) = 8/13  and q(B) = 5/13
9 off spring
a) P(x = 5W) = binompdf(9, 8/13, 5) = .2433
b) 'expected number' of black rats from part a)  (5/13) * 9 = 3.4615  0r 3
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