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Kelsie works at a bicycle shop as a salesperson. She records the number of bicycles she sells on a daily basis. Here is the probability distribution of
B
=
B=B, equals the number of bicycles Kelsie sells on a randomly selected day, and
T
=
T=T, equals the time she spends filling out daily sales reports.
B
=
#
of bicycles sold
B=# of bicycles soldB, equals, \#, start text, space, o, f, space, b, i, c, y, c, l, e, s, space, s, o, l, d, end text
0
00
1
11
2
22
3
33
T
=
time (minutes)
T=time (minutes)T, equals, start text, t, i, m, e, space, left parenthesis, m, i, n, u, t, e, s, right parenthesis, end text
0
00
10
1010
20
2020
30
3030
Probability
0.30
0.300, point, 30
0.50
0.500, point, 50
0.15
0.150, point, 15
0.05
0.050, point, 05
Find the expected value of the amount of time Kelsie spends filling out daily sales reports.

Sagot :

According to the discrete distribution given, it is found that the expected value of the amount of time Kelsie spends filling out daily sales reports is of 9.5 minutes.

The discrete distribution given is:

[tex]P(X = 0) = 0.3[/tex]

[tex]P(X = 10) = 0.5[/tex]

[tex]P(X = 20) = 0.15[/tex]

[tex]P(X = 30) = 0.05[/tex]

The mean of a discrete distribution is the sum of each outcome multiplied by it's respective probability, hence:

[tex]E(X) = 0(0.3) + 10(0.5) + 20(0.15) + 30(0.05) = 9.5[/tex]

The expected value of the amount of time Kelsie spends filling out daily sales reports is of 9.5 minutes.

A similar problem is given at https://brainly.com/question/24855677

Answer: 9.5

Step-by-step explanation:

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