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Suppose that X is the daily highest temperature measured at Albany International Airport in Celsius.We transform X into a new random variable Y, which is

Suppose that X is the daily highest temperature measured at Albany International Airport in Celsius.We transform X into a new random variable Y, which is the temparature in Fahrenheit. The conversion formula is Y=1.8X + 32.

X follows a normal distribution with a mean of 45 and a variance of 110. What is the distribution of Y?

a.

Y follows a normal distribution with mean 81 and variance 198.

b.

Y follows a normal distribution with mean 113 and variance 356.4.

c.

Y follows a normal distribution with mean 113 and variance 230.

d.

Y follows a normal distribution with mean 81 and variance 388.4.

e.

Y follows a normal distribution with mean 45 and variance 110.

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