Question: 2). There is a variable X centered at true population mean =5 and variance 2 =4. A variable Z denotes a random variable that follows

2). There is a variable X centered at true population mean =5 and variance 2=4. A variable Z denotes a random variable that follows a standard normal distribution (Z N(0,1)).

P=probability

1). What is P(X > 1.08 X < 8.92)?

2). What is P(Z > -1.96 Z < 1.96)?

3). What probability statement using the standard normal random variable Z would be equivalent to the probability of X greater than 4? Show work in excel

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