Suppose the Expected Cost of a Production Run Is Related $P ( Y > 5500 \text { when } x = 100 ) = .05 \text { and } P ( Y > 6500 \text { when } x = 200 ) = .10 \text { ? }$

Essay

Suppose the expected cost of a production run is related to the size of the run by the equation y = 4000 + 10x. Let Y denote an observation on the cost of a run. If the variable size and cost are related according to the simple linear regression model, could it be the case that $P ( Y > 5500 \text { when } x = 100 ) = .05 \text { and } P ( Y > 6500 \text { when } x = 200 ) = .10 \text { ? }$ Explain.