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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 the temparature in Fahrenheit. The conversion formula is Y=1.8% + 32. X follows a normal distribution with a mean of 50 and a variance of 100. What is the distribution of Y? O B. Y follows a normal distribution with mean 90 and variance 180, O b. Y follows a normal distribution with mean 50 and variance 100, OGY follows a normal distribution with mean 122 and variance 212, O d. Y folows a normal distribution with mean 90 and variance 356. O e. Y follows a normal distribution with mean 122 and variance 324 QUESTION 6 Suppose that a random variable X follows a normal distribution with mean 10 and variance 16. Let Z be a random variable following the standard normal distribution. You are interested in the probability that X is greater than 18. After standardization, what probability it will become? ( a. Pr(Z>2) ( b. pr(Z> 1.25) O C. Pr(2 2.5) ( d. Pr(2 0.5) ( e. PrZ> 1.5)