Examine the following probability distribution: 10 15 20 25 30 35 40 45 50 P(x) 0.01 0.05 0.16 0.20 0.30 0.13 0.05 0.04 0.01 0.05 (A) Calculate the expected value and standard deviation for this random variable (2 decimal places) Answer : E(X) = (B) Denote the expected value as µ. Calculate µ – o and µ + ơ. Answer: μ- σ- and u +o = (C) Determine the proportion of the distribution that iscontained within the interval (µ - ơ, µ + ơ) Answer The proportion is % within this interval (D) Calculate µ – 20 and µ + 2ơ. Answer : μ-2σ= and μ +2σ= (E) Determine the proportion of the distribution that iscontained within the interval (µ - 2ơ, µ + 2ơ) Answer The proportion is % within this interval (F) Calculate µ – 30 and µ + 3ơ. Answer : μ - 3σ- and μ + 3σ- (G) Determine the proportion of the distribution that iscontained within the interval (µ - 3ơ, µ + 3ơ) Answer The proportion is % within this interval Banco de palabras: 100 63 -3.58 34.06 87.25 65 93 9.41 95 5.83 52.88 43.47 24.65 15.24 21.85 84
Examine the following probability distribution: 10 15 20 25 30 35 40 45 50 P(x) 0.01 0.05 0.16 0.20 0.30 0.13 0.05 0.04 0.01 0.05 (A) Calculate the expected value and standard deviation for this random variable (2 decimal places) Answer : E(X) = (B) Denote the expected value as µ. Calculate µ – o and µ + ơ. Answer: μ- σ- and u +o = (C) Determine the proportion of the distribution that iscontained within the interval (µ - ơ, µ + ơ) Answer The proportion is % within this interval (D) Calculate µ – 20 and µ + 2ơ. Answer : μ-2σ= and μ +2σ= (E) Determine the proportion of the distribution that iscontained within the interval (µ - 2ơ, µ + 2ơ) Answer The proportion is % within this interval (F) Calculate µ – 30 and µ + 3ơ. Answer : μ - 3σ- and μ + 3σ- (G) Determine the proportion of the distribution that iscontained within the interval (µ - 3ơ, µ + 3ơ) Answer The proportion is % within this interval Banco de palabras: 100 63 -3.58 34.06 87.25 65 93 9.41 95 5.83 52.88 43.47 24.65 15.24 21.85 84
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Answer for question D), E) and F) and G) from the word bank
Transcribed Image Text:Pregunta 6
Examine the following probability distribution:
10
15
20
25
30
35
40
45
50
P(x) 0.01 0.05 0.16 0.20 0.30 0.13 0.05 0.04 0.01 0.05
(A) Calculate the expected value and standard deviation for this random variable (2 decimal places)
Answer : E(X) =
O =
%3D
(B) Denote the expected value as µ. Calculate u - o and µ +o.
Answer: μ-σ
and u + o =
(C) Determine the proportion of the distribution that iscontained within the interval (µ - o, µ + ơ)
Answer The proportion is
% within this interval
(D) Calculate μ-2σ and μ + 2σ.
Answer : u – 2ơ =
and u + 20 =
(E) Determine the proportion of the distribution that iscontained within the interval (u - 20, µ + 20)
Answer The proportion is
% within this interval
( F) Calculate μ-3σ and μ + 3σ.
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:
100
63
-3.58
34.06
87.25
65
93
9.41
95
5.83
52.88
43.47
24.65
15.24
21.85
84
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