Normal mu 683 sigma 198 xi P(X<=xi) 234 0.0117 268 0.0180 464 0.1344 767 0.6643
ID: 3075267 • Letter: N
Question
Normal
mu
683
sigma
198
xi
P(X<=xi)
234
0.0117
268
0.0180
464
0.1344
767
0.6643
795
0.7142
952
0.9129
P(X<=xi)
xi
0.17
494.0753
0.24
543.1521
0.26
555.6176
0.29
573.4298
0.37
617.2930
0.71
792.5702
0.83
871.9247
Use the cumulative normal probability excel output above (dealing with the amount of money parents spend per child on back-to-school items) to answer the following question.
The probability is 0.71 that the amount spent on a randomly selected child is no less than what value (in $)?
Normal
mu
683
sigma
198
xi
P(X<=xi)
234
0.0117
268
0.0180
464
0.1344
767
0.6643
795
0.7142
952
0.9129
P(X<=xi)
xi
0.17
494.0753
0.24
543.1521
0.26
555.6176
0.29
573.4298
0.37
617.2930
0.71
792.5702
0.83
871.9247
Explanation / Answer
Given cumulative normal probability output is,
Normal
mu
683
sigma
198
xi
P(X<=xi)
234
0.0117
268
0.0180
464
0.1344
767
0.6643
795
0.7142
952
0.9129
P(X<=xi)
xi
0.17
494.0753
0.24
543.1521
0.26
555.6176
0.29
573.4298
0.37
617.2930
0.71
792.5702
0.83
871.9247
Observe the above normal probability output ,
Corresponding to probability is 0.71 that the amount spent on a randomly selected child is no less $792.5702.
Normal
mu
683
sigma
198
xi
P(X<=xi)
234
0.0117
268
0.0180
464
0.1344
767
0.6643
795
0.7142
952
0.9129
P(X<=xi)
xi
0.17
494.0753
0.24
543.1521
0.26
555.6176
0.29
573.4298
0.37
617.2930
0.71
792.5702
0.83
871.9247
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