A study found that consumers spend an averago of $23 per week in cash without being aware of where it goes. Assume that the amount of cash spent without being aware of whore it goes is normally distributed and that the standard deviation is S$3. Complete parts (a) through (c). a What is the probability that a randomly selected person will spond more than $25? P(X > $25) - (Round to four decimal places as neoded.) b What is tho probability that a randomly selected person will spend betwoen $16 and S$21? PIS16

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A study found that consumers spend an average of $23 per woek 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 $3. Complete parts (a) through (c).
a What is the probabity that a randomly selected person will spend more than $25?
P(X > $25) = (Round to four decimal places as needed.)
b What is the probability that a randomly selected person will spend betwoen $16 and $21?
PI$16 < X< $21)= (Round to four decimal places as nouded.)
c Betwoen what two values will the middle 95% of the amounts of cash spent fall?
The middle 95% of the amounts of cash spent will fall between X Sand XS
(Round to the nearest cent as needed.)
Transcribed Image Text:A study found that consumers spend an average of $23 per woek 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 $3. Complete parts (a) through (c). a What is the probabity that a randomly selected person will spend more than $25? P(X > $25) = (Round to four decimal places as needed.) b What is the probability that a randomly selected person will spend betwoen $16 and $21? PI$16 < X< $21)= (Round to four decimal places as nouded.) c Betwoen what two values will the middle 95% of the amounts of cash spent fall? The middle 95% of the amounts of cash spent will fall between X Sand XS (Round to the nearest cent as needed.)
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