Use the Standard Normal Distribution table to find theindicated area under the standard normal curve. Q1: Between z = 0 and z = 2.24 A1: 0 = 0.5000 2.24 = 0.9875 0.9875 – 0.5000 =0.4875 Q2:To the left of z= 1.09 A2: 0.8621 Q3: Between z = -1.15 and z = -0.56 A3: -1.15 = 0.1251 -0.56 = 0.2877 0.1251 - 0.2877 = -0.1626 Q4: To the right of z = -1.93 A4: 1 – 0.0268 = 0.9732 Section 5.2: Normal Distributions: Find Probabilities Q5: The diameters of a wooden dowel produced by a new machine arenormally distributed with a mean of 0.55 inches and a standarddeviation of 0.01 inches. What percent of the dowels will have adiameter greater than 0.57? A5: z = x - mu / sigma = 0.57– 0.55 / 0.01 = 2 =P (x >0.57) = P(z >2) = 1 – P(z < 2) = 1 –0.9772 = 0.0228 Q6: A loan officer rates applicants for credit.

Wyatt Weeks

Wyatt Weeks

Answered question

2022-10-19

Use the Standard Normal Distribution table to find the indicated area under the standard normal curve.
Q1: Between z = 0 and z = 2.24
A 1 : 0 = 0.5000 2.24 = 0.9875 0.9875 0.5000 = 0.4875
Q 2 :  To the left of  z = 1.09 A 2 : 0.8621
Q3: Between z = -1.15 and z = -0.56
A 3 : 1.15 = 0.1251 0.56 = 0.2877 0.1251 0.2877 = 0.1626
Q4: To the right of z = -1.93
A 4 : 1 0.0268 = 0.9732
Section 5.2: Normal Distributions: Find Probabilities
Q5: The diameters of a wooden dowel produced by a new machine arenormally distributed with a mean of 0.55 inches and a standarddeviation of 0.01 inches. What percent of the dowels will have adiameter greater than 0.57?
A 5 : z = x μ / σ = 0.57 0.55 / 0.01 = 2 = P ( x > 0.57 ) = P ( z > 2 ) = 1 P ( z < 2 ) = 1 0.9772 = 0.0228
Q6: A loan officer rates applicants for credit. Ratings arenormally distributed. The mean is 240 and the standard deviation is50. Find the probability that an applicant will have a ratinggreater than 260.
A 6 : z = x μ / σ = 260 240 / 50 = 0.4 = P ( x > 260 ) = P ( z > 0.4 ) = 1 P ( z < 0.4 ) = 1 0.6554 = 0.9772

Answer & Explanation

Phoebe Medina

Phoebe Medina

Beginner2022-10-20Added 17 answers

Q3: Between z = -1.15 and z = -0.56
A 3 : 1.15 = 0.1251 0.56 = 0.2877 0.1251 0.2877 = 0.1626 ( w r o n g ) 0.2877 0.1251 = 0.1626
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