The time required to assemble an electronic component is normally distributed with a mean and a standard deviation of 26 minutes and 17 minutes, respectively. [You may find it useful to reference the z table.] a. Find the probability that a randomly picked assembly takes between 20 and 32 minutes. (Round "z" value to 2 decimal places and final answer to 4 decimal places.) b. It is unusual for the assembly time to be above 53 minutes or below 5 minutes. What proportion of assembly times fall in these unusual categories? (Round "z" value to 2 decimal places and final answer to 4 decimal places.)
Added by Michael L.
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. For 20 minutes: z1 = (20 - 26) / 17 ≈ -0.35 For 32 minutes: z2 = (32 - 26) / 17 ≈ 0.35 Now, we need to find the probability between these two Show more…
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