DETERMINE THE MEAN, VARIANCE, AND STANDARD DEVIATION OF THE FOLLOWING PROBABILITY DISTRIBUTION AND CHECK USING THE ALTERNATIVE FORMULA. 01 0.10 3 0.30 4. 0.10 P(x) 0.20 0.30 a. MEAN: 4= ElxP(x)] b. VARIANCE: a? =* P(x)] %3D C. STANDARD DEVIATION: =E((x-p)²P(x)] d. ALTERNATIVE FORMULA: a? = E(x²P(x)]-([xP(x)])² %3D
DETERMINE THE MEAN, VARIANCE, AND STANDARD DEVIATION OF THE FOLLOWING PROBABILITY DISTRIBUTION AND CHECK USING THE ALTERNATIVE FORMULA. 01 0.10 3 0.30 4. 0.10 P(x) 0.20 0.30 a. MEAN: 4= ElxP(x)] b. VARIANCE: a? =* P(x)] %3D C. STANDARD DEVIATION: =E((x-p)²P(x)] d. ALTERNATIVE FORMULA: a? = E(x²P(x)]-([xP(x)])² %3D
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 8E
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![DETERMINE THE MEAN, VARIANCE, AND STANDARD DEVIATION OF THE FOLLOWING PROBABILITY
DISTRIBUTION AND CHECK USING THE ALTERNATIVE FORMULA.
1.
3.
0.30
4
0.30
P(x)
0.10
0.20
0.10
a. MEAN: 4 =
E[XP(x)]
b. VARIANCE: o? = * P(x)]
C. STANDARD DEVIATION: = EI(x-p)P(x)]
d. ALTERNATIVE FORMULA: o? = E(x*P(x)]- ([xP(x)])?
%3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5081a7d7-1f2c-48e2-81b7-8ab669831688%2F42259547-cc98-4a2d-a89c-3af847f10d54%2F0uly68_processed.jpeg&w=3840&q=75)
Transcribed Image Text:DETERMINE THE MEAN, VARIANCE, AND STANDARD DEVIATION OF THE FOLLOWING PROBABILITY
DISTRIBUTION AND CHECK USING THE ALTERNATIVE FORMULA.
1.
3.
0.30
4
0.30
P(x)
0.10
0.20
0.10
a. MEAN: 4 =
E[XP(x)]
b. VARIANCE: o? = * P(x)]
C. STANDARD DEVIATION: = EI(x-p)P(x)]
d. ALTERNATIVE FORMULA: o? = E(x*P(x)]- ([xP(x)])?
%3D
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