The peak temperature T, in degrees Fahrenheit, on a July day in Antarctica is a Gaussian random variable with a vari- ance of 225. With probability 1/2, the tem- perature T exceeds−75 degrees. What is P[T > 0]? What is P[T <−100]?
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The temperature \( T \) is a Gaussian random variable with a variance of 225. This means the standard deviation \( \sigma \) is \( \sqrt{225} = 15 \). Show more…
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4.6.9 The peak temperature T, in degrees Fahrenheit, on a July day in Antarctica is a Gaussian random variable with a variance of 225. With probability 1/2, the temperature exceeds -75 degrees. What is P[T > 0]? What is P[T < -100]?
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The peak temperature T, in degrees Fahrenheit, on a July day in Antarctica is a Gaussian RV with a variance of 256. T exceeds 15°F with the probability of 1/2. a. Plot the PDF for T, f_T(t), using the MATLAB. (see help provided in HW4) b. What is P[T > 32], the probability the temperature is above freezing? c. What is P[T < 0]? d. What is P[T > 50]?
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