Question: For the standard normal distribution find the area within 1 5
For the standard normal distribution, find the area within 1.5 standard deviations of the mean—that is, the area between μ – 1.5σ and μ + 1.5σ
Answer to relevant QuestionsFor the standard normal distribution, what is the area within two standard deviations of the mean? Find the area under the standard normal curve a. To the right of z = 1.36 b. To the left of z = –1.97 c. To the right of z = –2.05 d. To the left of z = 1.76 Find the following probabilities for the standard normal distribution. a. P(z < –1.31) b. P(1.23 < z < 2.89) c. P(–2.24 < z < –1.19) d. P(z < 2.02) Determine the area under a normal distribution curve with µ = 55 and µ = 7 a. To the right of x = 58 b. To the right of x = 43 c. To the left of x = 68 d. To the left of x = 22 Briefly explain the main characteristics of a normal distribution. Illustrate with the help of graphs.
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