All one problem. Show work and formulas and calculations please. Thank you. For a standard normal distribution, find:P(-1.46 < z < 1.74)______ Write an equation in the form y=mx+by=mx+b for the following table:xy-10-49-8-37-6-25-4-13-2-1011223435y=______ What value completes the probability distribution below?X012345P(X) 1/5 17/120 1/6 1/6 1/8 −19/12061/28017/1205/241/5

Given : here we have given a standard normal distribution, μ = 0 σ = 1 P-1.46<z<1.74 = P-1.46-01<z-01<1.74-01 P-1.46<z<1.74 = Pz<1.74-P(z<-1.46) P-1.46<z<1.74 = 0.9591 - 0.0721 P-1.46<z<1.74 = 0.887x y x2 y2 x×y -10 -49 100 2401 490 -8 -37 64 1369 296 -6 -25 36 625 150 -4 -13 16 169 52 -2 -1 4 1 2 0 11 0 121 0 2 23 4 529 46 4 35 16 1225 140 -24 -56 240 6440 1176 n = 8 x¯ = ∑Xin x¯ = -248 x¯ = -3 y¯ = ∑Yin y¯ = -568 y¯ = -7m =n×∑x×y-∑x×∑yn×∑x2-∑x2 m =8×1176--24×-568×240--242 m =80641344 m =6 b =y¯ - m×x¯ b =-7- 6×-3 b =11 y = 6×x+11∑PX = 1 15+17120+PX = 2+16+16+18 =1 24120+17120+PX = 2+20120+20120+14120 =1 95120+PX = 2 =1 PX = 2 =25120≅524

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Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter11: Data Analysis And Displays

Section: Chapter Questions

Problem 6CR

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All one problem. Show work and formulas and calculations please. Thank you.

For a standard normal distribution, find:

P(-1.46 < z < 1.74)

______

Write an equation in the form y=mx+by=mx+b for the following table:

x	y
-10	-49
-8	-37
-6	-25
-4	-13
-2	-1
0	11
2	23
4	35

y=______

What value completes the probability distribution below?

X	0	1	2	3	4	5
P(X)	1/5	17/120		1/6	1/6	1/8

−19/120
61/280
17/120
5/24
1/5

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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