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p(-0.73<z<2.27) find the probability

p(-0.73<z<2.27)

find the probability

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P (-0.73< Z2.27) 0.7557 Explanation Step 1: Sketch the curve. The probability that-0.73Z2.27 is equal to the blue area under the curve. 0.5 0.4 0.3 y 0.2 0.1 0.0 -0.1 0.73 2.27 3.5-3.0-2.5-2.0-1.5-1.0-0.5 0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 Step 2: To find the probability of P (-0.73 < Z<2.27), we use the following formula P (-0.73 < Z < 2.27 ) = P ( Z < 2.27 )-P (Z <-0.73 ) Step 3: P (Z <2.27) can be found by using the following standard normal table. Show Standard Normal Table We see that P ( Z 2.27)0.9884. Step 4: P (Z-0.73) can be found by using the following fomula. After substituting a-0.73 we have:

P(Z<-0.73) 1 _ P ( Z < 0.73 ) P(Z 0.73) can be found by using the following standard normal table Show Standard Normal Table

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