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a) Let Z~Norm(u = 0,0 =1) 1.54 e 2 P(Zo JZo V/2T dx = 0.76 => Zo = ( use at least four digits after

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a) Let Z~Norm(u = 0,0 =1) 1.54 e 2 P(Zo JZo V/2T dx = 0.76 => Zo = ( use at least four digits after the decimal if rounding...) b) Let X be the average daily low temperature is measured for the month of September. An American website states X~ Norm(u = 28.292 F, o = 3.042 F) find the probability that the average daily low temperature for September is between -1.84 C and 0.97 C. ( use at least four digits after the decimal if rounding...) Note: C units are Celsius and F units in Fahrenheit, the relationship between them is ~ + 32 = F or if you prefer can be written as 5F _ 160 9 9 = C. Hint: E[C] = Moc = EJ SF 160 9 | and VAR[C] = ?c = Varl 160 1 2 9 c) At least 20% of the time, the maximum average daily low temperature for the month of September will be . C. ( use at least four digits after the decimal if rounding...) d) State the specific Moment Generating function describing be the average daily low, measured in Celsius, for the month of September. (The only variable that should be in your function is t) Mx(t) ( use at least four digits after the decimal if rounding...)

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