1. An electronic store salesperson estimates the probabilities for the number of flat screen smart TV sets sold in a week as follows: number sold (x) p(x) a) b) c) + d) 0 0.05 1 I 0.30 2 0.40 3 0.10 4 0.10 Assume that the number of sales in one week is independent of the number in any other. What is the probability, for a given week, that fewer than 3 flat screen smart TVs will be sold? Find the expected number of flat screen smart TVs sold in a week. Find the standard deviation of the number of flat screen smart TVs sold in a week. The salesperson receives a weekly salary of $600, plus a commission of $60 for each flat screen smart TV sold. Find the expected value of the total amount the salesperson will receive each week. Find the standard deviation of the total weekly amount. 5 0.05

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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1. An electronic store salesperson estimates the probabilities for the number of flat screen smart TV
sets sold in a week as follows:
number sold (x)
p(x)
a)
b)
c)
d)
9
2
(to be sut nitted online on BrightSpace)
STAT2507A - November 4th, 2022 (to be submitted in-person to the Instructor)
e)
W
+
3
E
Assume that the number of sales in one week is independent of the number in any other.
What is the probability, for a given week, that fewer than 3 flat screen smart TVs will be sold?
Find the expected number of flat screen smart TVs sold in a week.
Find the standard deviation of the number of flat screen smart TVs sold in a week.
The salesperson receives a weekly salary of $600, plus a commission of $60 for each flat
screen smart TV sold. Find the expected value of the total amount the salesperson will receive
each week.
Find the standard deviation of the total weekly amount.
0
0.05
80
$
4
a
F4
R
do 50
1
0.30
%
16
F5
I
T
^
6
P
Fo
2
0.40
Y
&
7
F7
U
3
0.10
24
8
G-II
FB
1
4
0.10
9
FO
O
4
5
0.05
F10
I
-
-
P
qi
PI
I
=
Transcribed Image Text:$ 1. An electronic store salesperson estimates the probabilities for the number of flat screen smart TV sets sold in a week as follows: number sold (x) p(x) a) b) c) d) 9 2 (to be sut nitted online on BrightSpace) STAT2507A - November 4th, 2022 (to be submitted in-person to the Instructor) e) W + 3 E Assume that the number of sales in one week is independent of the number in any other. What is the probability, for a given week, that fewer than 3 flat screen smart TVs will be sold? Find the expected number of flat screen smart TVs sold in a week. Find the standard deviation of the number of flat screen smart TVs sold in a week. The salesperson receives a weekly salary of $600, plus a commission of $60 for each flat screen smart TV sold. Find the expected value of the total amount the salesperson will receive each week. Find the standard deviation of the total weekly amount. 0 0.05 80 $ 4 a F4 R do 50 1 0.30 % 16 F5 I T ^ 6 P Fo 2 0.40 Y & 7 F7 U 3 0.10 24 8 G-II FB 1 4 0.10 9 FO O 4 5 0.05 F10 I - - P qi PI I =
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