Given that x is a normal variable with mean ? = 51 and standard deviation ? = 7.1, find the following probabilities. (Round your answers to four decimal places.) (a) P(x ≤ 60) (b) P(x ≥ 50) (c) P(50 ≤ x ≤ 60)
Added by Caiden K.
Step 1
The z-score is calculated as: z = (x - 𝜇) / 𝜎 (a) For P(x ≤ 60): z = (60 - 51) / 7.1 = 9 / 7.1 ≈ 1.2676 Now, we need to find the probability for this z-score. You can use a z-table or a calculator to find the probability. The probability for z = 1.2676 is Show more…
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