MATH 3670 Midterm: MATH 3670 GT pTest3770 2 Spring10
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1) the temperature variation from one day to another is found to be distributed normally with expected value 3f and variance 3f when temperature are measured in fahrenheit. Recalling that x fahrenheit are equivalent to y = 5(x 32)/9 celsius what is the proba- bility distribution of the temperature variation when measured in celsius. Call x tha variation of temperature in fahrenheit and y the variation in celsius. Given the transormation formula between fahrenheit and celsius we know that a variation of x fahrenheit is equivalent to a variation of y = 5 x/9 celsius, i. e. y = 5 x/9. 27(cid:19) : two machines produces produce the same pill for a pharmaceutical company. Call x1 the amount of active substance in the pills produced by the rst machine and x2 the amount of active substance in the pills produced by the second machine.
