The average amount parents and children spent per child on back-to-school clothes in Autumn 2001 was $527 (CNBC, September 5, XXXXXXXXXXAssume the standard deviation is $160 and that the amount spent...

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The average amount parents and children spent per child on back-to-school clothes in Autumn 2001 was $527 (CNBC, September 5, 2001). Assume the standard deviation is $160 and that the amount spent is normally distributed.


a. What is the probability that the amount spent on a randomly selected child is more than $700?


b. What is the probability that the amount spent on a randomly selected child is less than $100?


c. What is the probability that the amount spent on a randomly selected child is between $450 and $700?


d. What is the probability that the amount spent on a randomly selected child is no more than $300?




Answered Same DayDec 24, 2021

Answer To: The average amount parents and children spent per child on back-to-school clothes in Autumn 2001 was...

Robert answered on Dec 24 2021
117 Votes
X N (µ=$527, σ2 = $160)
Lets standardize X variable.
Z =



a) P[ X > 70
0 ] =P [


>

]
= P [ Z > 1.08 ]
= 1 - P[ Z ≤ 1.08 ]
=1-0.8599
...
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