Let X be normally distributed with mean μ and standard deviation σ > 0. Which of the following is false about the z value corresponding to a given x value?Multiple ChoiceA positive z = (x − μ)/σ indicates how many standard deviations x is above μ.The z value corresponding to x = μ is zero.The z value corresponding to a given value of x assumes any value between 0 and 1.A negative z = (x − μ)/σ indicates how many standard deviations x is below μ.

Which of the following statements are TRUE about the normal distribution? Check all that apply.The area to the left of a z-score plus the area to the right of that same z-score will always equal 1.A data value with z-score = -1.5 is located 1.5 standard deviations below the mean.The Empirical Rule only applies when a value is exactly 1, 2, or 3 standard deviations away from the mean.The mean corresponds to the z-score of 1.A z-score is the number of standard deviations a specific data value is from the mean of the distribution.

Let z be a normal random variable with mean 0 and standard deviation 1. What is P(z > -1.1)?Select one:a.0.36432.b.0.8643.c.0.1357.d.-0.1357.e.-0.8643.

3.  Suppose the random variable X𝑋 is normally distributed with μ=50𝜇=50 and σ2=36𝜎2=36 . What is the value of b𝑏 such that P(X≥b)=0.3264P(𝑋≥𝑏)=0.3264 ?Multiple choice 1 Question 3  45.8  59.1  52.7  47.3

In the z-score formula, which of the following is true if the value in the numerator is a negative value?Group of answer choicesthat the xi value lies to the left of the meanthat the mean is of lesser value than the xi valuethat the mean is of negative valuethat the numerator value cannot be divided by the standard deviation

Which of the following about the normal distribution is NOT true?