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6) A study found that consumers spend an average of $24 per week in cash without...

6)

  • A study found that consumers spend an average of $24 per week in cash without being aware of where it goes.
  • Assume that the amount of cash spent without being aware of where it goes is normally distributed and that the standard deviation is $6.

What is the probability that a randomly selected person will spend between $11 and $23?

Math   Statistics-And-Probability   
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Answer #1

This is a normal distribution question with

a)
P(11< x  <23)=?

= P( -2.16 < z < -0.16)

= P (-0.16) - P( -2.16)
= 0.4364 - 0.0154 [ using z table ]

= 0.421
probability = 0.421

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