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Abankagency knowsthatthewithdrawalsmadeatitsautomatedcashdispenserhaveameanof120andastandarddeviationof40. On a certain day, 80 clients make a withdrawal at thiscash dispenser. Assume that these 80 withdrawals areequivalenttoasimplerandom sampleofwithdrawals. What is the probability

Abankagency knowsthatthewithdrawalsmadeatitsautomatedcashdispenserhaveameanof120andastandarddeviationof40.

On a certain day, 80 clients make a withdrawal at thiscash dispenser. Assume that these 80 withdrawals areequivalenttoasimplerandom sampleofwithdrawals.

  • What is the probability distribution of the mean xof these80withdrawals?
  • What is the probability that x is at least equal to130
  • Constructanintervalcentered onthemean(ofthepopulation), such that the probability that x fallswithinthisintervalis90%.(predictioninterval)

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