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Binomial Probability: Tay-Sachs. Tay-Sachs is a metabolic disorder that is inherited as an autosomal recessive trait. Both recessive alleles are necessary for expression of the

Binomial Probability:

Tay-Sachs. Tay-Sachs is a metabolic disorder that is inherited as an autosomal recessive trait. Both recessive alleles are necessary for expression of the disease. Therefore, when each parent is a carrier, there is a one in four chance of transmitting the genetic disorder to each offspring. A random number of Tay-Sachs cases in three pregnancies from a carrier couple (X ~ b(3, 0.25)) was considered in homework 6.

What is the probability that 2 or fewer births resulted in children afflicted with Tay-Sachs?

What is the mean for this distribution?

What is the variance?

What is the standard deviation?

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