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30 May, 16:01

Given that x is a normal variable with mean μ = 49 and standard deviation σ = 6.7, find the following probabilities. (Round your answers to four decimal places.) (a) P (x ≤ 60) (b) P (x ≥ 50) (c) P (50 ≤ x ≤ 60)

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  1. 30 May, 16:13
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    0.9500, 0.4407, 0.3904

    Step-by-step explanation:

    (a) P (x ≤ 60). We need to find the area under the standard normal curve to the left of x = 60. The appropriate command when using a TI-83 Plus calculator with statistical functions is normcdf (-1000, 60, 49, 6.7). This comes out to 0.9500. P (x ≤ 60) = 0.9500

    (b) P (x ≥ 50) would be normcdf (50, 1000,49, 6.7), or 0.4407

    (c) P (50 ≤ x ≤ 60) would be normcdf (50,60,49,6.70, or 0.3904
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