Baod on his sale recoeds, a saleman kos tha his weckly oommiios hae the following so SL000 S2.000 S3000 S4.000 probability .13 Find the salema's pected commii

College Algebra
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Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 33E: Sick leave probability that a given worker at Dyno Nutrition Will call in sick on a Monday is 004....
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micourses/21507/quize/19263/take/questiona/s040978
Based on his sale records, a salesman knows that his weekly commissions have the following
probubilities.
commision
so
SL.000
52.000
$3,000
$4.000
probability
o.13
0.21
0.43
013
0.10
Find the salesman's expected commission
O S1,860
O $1,460
S1,530
O S2,650
$1,990
Transcribed Image Text:micourses/21507/quize/19263/take/questiona/s040978 Based on his sale records, a salesman knows that his weekly commissions have the following probubilities. commision so SL.000 52.000 $3,000 $4.000 probability o.13 0.21 0.43 013 0.10 Find the salesman's expected commission O S1,860 O $1,460 S1,530 O S2,650 $1,990
Expert Solution
Step 1

Given data:

 

The probability for a $0 weekly commission is P(0)=0.13.

The probability for a $1,000 weekly commission is P(1)=0.21.

The probability for a $2,000 weekly commission is P(2)=0.43.

The probability for a $3,000 weekly commission is P(3)=0.13.

The probability for a $4,000 weekly commission is P(4)=0.10.

 

The expression for the expected commission is,

P(E)=$0P(0)+$1,000P(1)+$2,000P(2)+$3,000P(3)+$4,000P(4)

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