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Find \( P(Z>0.6) \) Express the probability as a decimal rounded to 4 decimal places. Question 4 \[ P(X \leq 7)=P(X

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Final answer:

To calculate P(Z>0.6), you reference the z-table to find the area to the left of z=0.6 and subtract it from 1 to find the area to the right, which is approximately 0.2743 when rounded to four decimal places.

Step-by-step explanation:

The question asks to find the probability that a standard normal variable Z is greater than 0.6, which is denoted as P(Z>0.6). To find this probability, one typically refers to the standard normal distribution table (z-table) or uses statistical software.

The z-table provides the area to the left of the z-value. Therefore, to find P(Z>0.6), you would look up the z-value of 0.6 in the table, which gives you the area to the left of z.

This value is usually around 0.7257. Since the total area under the curve is 1, you would subtract this value from 1 to get the area to the right, which is P(Z>0.6) = 1 - 0.7257 = 0.2743, rounded to four decimal places.

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