3. The Formula to calculate standardized normal random variable is a. $x - \mu/\sigma$ b. $x + \mu/\sigma$ c. $x - \sigma/\mu$ d. $x + \sigma/\mu$ 4. If $\mu$=5000 and $\sigma$=50, the z-value of x=5025 is a. -0.5 b. 0.5 c. 1.0 d. -1.0 5. If z-score of normal distribution is -2.5, mean of distribution is 45 and standard deviation of normal distribution is 3 then value of x for a normal distribution is a. 97.5 b. 47.5 c. 37.5 d. 67.5

          3. The Formula to calculate standardized normal random variable is
a. $x - \mu/\sigma$ b. $x + \mu/\sigma$ c. $x - \sigma/\mu$ d. $x + \sigma/\mu$
4. If $\mu$=5000 and $\sigma$=50, the z-value of x=5025 is
a. -0.5 b. 0.5 c. 1.0 d. -1.0
5. If z-score of normal distribution is -2.5, mean of distribution is 45 and standard
deviation of normal distribution is 3 then value of x for a normal distribution is
a. 97.5 b. 47.5 c. 37.5 d. 67.5

3. The Formula to calculate standardized normal random variable is
a. x - μ/σ b. x + μ/σ c. x - σ/μ d. x + σ/μ
4. If μ=5000 and σ=50, the z-value of x=5025 is
a. -0.5 b. 0.5 c. 1.0 d. -1.0
5. If z-score of normal distribution is -2.5, mean of distribution is 45 and standard
deviation of normal distribution is 3 then value of x for a normal distribution is
a. 97.5 b. 47.5 c. 37.5 d. 67.5

Added by Maria V.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Elizabeth Waters

Step 1

We can use the formula: z = (x - μ) / σ where z is the z-value, x is the value we want to find the z-value for, μ is the mean, and σ is the standard deviation. Given, μ = 5000 and σ = 50. So, we can plug in the values: z = (5025 - 5000) / 50 z = 25 / 50 z = Show more…

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The formula to calculate the standardized normal random variable is (x - Î¼) / Ïƒ, where Î¼ is the mean and Ïƒ is the standard deviation. If Î¼ = 5000 and Ïƒ = 50, the z-value of x - 5025 is -0.5. If the z-score of a normal distribution is 2.5, the mean of the distribution is 45, and the standard deviation of the normal distribution is 3, then the value of x for the normal distribution is 97.5.