Need the answer to Part (c). Thank you! We study the elasticity of plant cells a

Question

Need the answer to Part (c). Thank you!

We study the elasticity of plant cells as a we vary a single allele. Previous studies have determined that plants with the dominant allele have cell elasticity that can be modeled as a continuous uniform random variable Y ~ Unif(0.00, 0.85). For plants with the recessive allele, cell elasticity is an exponential random variable Y ~ Exp(10). It's cheaper to test elasticity than genetics, so we implement the following decision rule: for some critical value Y_c, if Y

Explanation / Answer

Cost= A int_{0}^{Y_{c}} (density of exp(10) dx + B.int_{Y_{c} }^{0.85}(density of uniform(0,0.85) dx

Differentiate this expression with respect to Y_{c} to obtain the choice of Y_{c}. The answer is -10log(10B/0.85A)

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