Examine the following probability distribution: 10 15 20 25 30 35 40 45 50 P(x) 0.01 0.05 0.14 0.20 0.30 0.15 0.05 0.04 0.01 0.05 (A) Calculate the expected value and standard deviation for this random variable. Answer : E(X) = (B) Denote the expected value as µ. Calculate u - o and u + ơ. Answer: H - o = and u +o = (C) Determine the proportion of the distribution that iscontained within the interval (u - o, u + o) Answer The proportion is % within this interval ( D) Calculate μ - 2σ and μ+ 2σ. Answer : u- 20 = and u + 20 = (E) Determine the proportion of the distribution that iscontained within the interval (µ - 20, µ + 2ơ) Answer The proportion is % within this interval ( F) Calculate μ - 3σ and μ + 3σ. Answer : u- 30 = (G) Determine the proportion of the distribution that iscontained within the interval (u - 30, u + 30) and u + 30 = Answer The proportion is % within this interval Banco de palabras: 93 15.61 100 52.97 -3.07 34.29 65 21.85 24.95 43.63 9.34 87.25 6.27

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
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 14E
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Answer to Question A) from the word bank

Examine the following probability distribution:
10
15
20
25
30
35
40
45
50
P(x) 0.01 0.05 0.14 0.20 0.30 0.15 0.05 0.04 0.01 0.05
(A) Calculate the expected value and standard deviation for this random variable.
Answer : E(X) =
(B) Denote the expected value as u. Calculate u - o and µ +o.
Answer: u - =
and μ + σ=
(C) Determine the proportion of the distribution that iscontained within the interval (u - o, µ + ơ)
Answer The proportion is
% within this interval
( D) Calculate μ-2σ and μ + 2σ.
Answer : u – 20 =
and μ +2σ-
(E) Determine the proportion of the distribution that iscontained within the interval (µ - 20, µ + 20)
Answer The proportion is
% within this interval
( F) Calculate μ -3σ and μ + 3 .
Answer : µ - 30 =
and u + 30 =
(G) Determine the proportion of the distribution that iscontained within the interval (µ - 30, µ + 30)
Answer The proportion is
% within this interval
Banco de palabras:
93
15.61
100
52.97
-3.07
34.29
65
21.85
24.95
43.63
9.34
87.25
6.27
Transcribed Image Text:Examine the following probability distribution: 10 15 20 25 30 35 40 45 50 P(x) 0.01 0.05 0.14 0.20 0.30 0.15 0.05 0.04 0.01 0.05 (A) Calculate the expected value and standard deviation for this random variable. Answer : E(X) = (B) Denote the expected value as u. Calculate u - o and µ +o. Answer: u - = and μ + σ= (C) Determine the proportion of the distribution that iscontained within the interval (u - o, µ + ơ) Answer The proportion is % within this interval ( D) Calculate μ-2σ and μ + 2σ. Answer : u – 20 = and μ +2σ- (E) Determine the proportion of the distribution that iscontained within the interval (µ - 20, µ + 20) Answer The proportion is % within this interval ( F) Calculate μ -3σ and μ + 3 . Answer : µ - 30 = and u + 30 = (G) Determine the proportion of the distribution that iscontained within the interval (µ - 30, µ + 30) Answer The proportion is % within this interval Banco de palabras: 93 15.61 100 52.97 -3.07 34.29 65 21.85 24.95 43.63 9.34 87.25 6.27
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,