The area corresponding to a z-score of 0.86 in the table is 0.8051. Step 2: Find the appropriate area between the normal curve and the axis using the table: The table contains cumulative areas (to the left of the z-value). For the probability that X a, convert a into a z-score using a−µ σ and use the table to find the area to the right of the z-score.The mean (expected value) µ and standard deviation σ should be given in the problem. Your answers may vary slightly.ĥ.2 Normal Distributions: Finding Probabilities If you are given that a random variable X has a normal distribution, finding probabilities corresponds to finding the area between the standard normal curve and the x-axis, using the table of z-scores. Chapter 5: Normal Probability Distributions - Solutions Note: All areas and z-scores are approximate.
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