Suppose x is a normally distributed random variable with mu equals 12 and sigma equals 2. Find each of the following probabilities. a. P(x greater than or equals 15.5) b. P(x less than or equals 8) c. P(13.46 less than or equals x less than or equals 16.74) d. P(6.96 less than or equals x less than or equals 14.76)
Added by Patrick A.
Step 1
The z-score formula is: z = (x - μ) / σ where x is the value, μ is the mean, and σ is the standard deviation. a. For x = 15.5, the z-score is: z = (15.5 - 12) / 2 = 1.75 b. For x = 8, the z-score is: z = (8 - 12) / 2 = -2 c. For x = 13.46 and x = 16.74, the Show more…
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