Question

The following table shows the record of the weight of all boxes in an EMS delivery truck.

Weight of box (lb) | No. of boxes |

1-10 | 8 |

11-20 | 7 |

21-40 | 5 |

a) If you randomly select 8 boxes from this truck without replacing the box after each pick, what is the probability that at least 6 of them are 10 pounds or lighter?

b) If you randomly select 8 boxes from this truck with replacing the box after each pick, what is the probability that at least 6 of them are 10 pounds or lighter?

Answer #1

a) If we randomly select 8 boxes from this truck without replacing the box after each pick, the probability that at least 6 of them are 10 pounds or lighter = + + = 0.1212 + 0.0303 + 0.0043 = 0.1558

b) If we randomly select 8 boxes from this truck with replacing the box after each pick, the probability that at least 6 of them are 10 pounds or lighter = + + = 0.0348 + 0.0199 + 0.0114 = 0.0661

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large box:
Small Box:

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Box 2
Box 3
Totals
1Ω
20
95
25
140
10 Ω
55
35
75
165
100 Ω
70
80
145
295
Totals
145
210
245
600
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A
B
C
0%
0.01-0.09%
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D
0-19
142
7
6
155
E
20-39
47
8
41
96
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29
8
77
114
G
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47
7
35
89
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159
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7
8
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