Let x be a binomial random variable with n- 20 and p- 0.1. (a) Calculate P(x s 5) using the binomial formula. (Round your answer to five decimal places.) 0.98875 (b) Calculate P(x s 5) using Table 1 in Appendix 1. (Round your answer to three decimal places.) 0.989 (c) Use the following Excel output given to calculate P(x s 5). (Round your answer to four decimal places.) 1 2 3 5 4 10 P(x) 0.1216 0.2702 0.0319 0.0089 0.0020 0.2852 0.1901 0.0898 0.0004 0.0001 0.0000 11 12 13 14 15 16 17 18 19 20 P(x) 7E-07 SE-08 4E-09 2E-10 9E-12 ЗЕ-13 BE-15 2E-16 2E-18 1E-20 0.9888 Compare the results of part (a), part (b), and part (c). • When rounded to two decimal places, the results of part (a), part (b), and part (c) agree with each other. o When rounded to two decimal places, the results of part (a), part (b), and part (c) disagree with each other. (d) Calculate the mean and standard deviation of the random variable x. (Round your standard deviation to four decimal places.) a- 1.3416 (e) Use the results of part (d) to calculate the intervals ut o, ua 20, and u 30. (Round your answers to three decimal places.) 0.658 to 3.342 -0.684 to 4.684 -2.026 x to 6.026 Find the probability that an observation will fall into each of these intervals. (Round your answe to three decimal places.) P(u - asxS u+ o) - P(H - 20 sxs u+ 20) - P(H - 30 sxs u+ 30) -
Let x be a binomial random variable with n- 20 and p- 0.1. (a) Calculate P(x s 5) using the binomial formula. (Round your answer to five decimal places.) 0.98875 (b) Calculate P(x s 5) using Table 1 in Appendix 1. (Round your answer to three decimal places.) 0.989 (c) Use the following Excel output given to calculate P(x s 5). (Round your answer to four decimal places.) 1 2 3 5 4 10 P(x) 0.1216 0.2702 0.0319 0.0089 0.0020 0.2852 0.1901 0.0898 0.0004 0.0001 0.0000 11 12 13 14 15 16 17 18 19 20 P(x) 7E-07 SE-08 4E-09 2E-10 9E-12 ЗЕ-13 BE-15 2E-16 2E-18 1E-20 0.9888 Compare the results of part (a), part (b), and part (c). • When rounded to two decimal places, the results of part (a), part (b), and part (c) agree with each other. o When rounded to two decimal places, the results of part (a), part (b), and part (c) disagree with each other. (d) Calculate the mean and standard deviation of the random variable x. (Round your standard deviation to four decimal places.) a- 1.3416 (e) Use the results of part (d) to calculate the intervals ut o, ua 20, and u 30. (Round your answers to three decimal places.) 0.658 to 3.342 -0.684 to 4.684 -2.026 x to 6.026 Find the probability that an observation will fall into each of these intervals. (Round your answe to three decimal places.) P(u - asxS u+ o) - P(H - 20 sxs u+ 20) - P(H - 30 sxs u+ 30) -
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
Transcribed Image Text:Let x be a binomial random variable with n = 20 and p = 0.1.
(a) Calculate P(x s 5) using the binomial formula. (Round your answer to five decimal places.)
0.98875
(b) Calculate P(x s 5) using Table 1 in Appendix I. (Round your answer to three decimal places.)
0.989
(c) Use the following Excel output given to calculate P(x s 5). (Round your answer to four decimal places.)
6 7
2
3
4
10
P(x)
0.1216
0.2702
0.2852
0.1901
0.0898
0.0319
0.0089
0.0020
0.0004
0.0001
0.0000
11
12
13
14
15
16
17
18
19
20
P(x)
7E-07
5E-08
4E-09
2E-10
9E-12
ЗЕ-13
8E-15
2E-16
2E-18
1E-20
0.9888
Compare the results of part (a), part (b), and part (c).
O When rounded to two decimal places, the results of part (a), part (b), and part (c) agree with each other.
O When rounded to two decimal places, the results of part (a), part (b), and part (c) disagree with each other.
(d) Calculate the mean and standard deviation of the random variable x. (Round your standard deviation to four decimal places.)
4 = 2
a - 1.3416
(e) Use the results of part (d) to calculate the intervals u + o, u t 20, and u + 30. (Round your answers to three decimal places.)
0.658
to 3.342
H+ 20
-0.684
x to 4.684
|-2.026
x to 6.026
Find the probability that an observation will fall into each of these intervals. (Round your answers to three decimal places.)
P(u - asxS u + a) =
P(u - 20 s xs u + 20) =
P(u - 30 sx Su + 30) =
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