e. Compute the probability that the sales are larger than 1500 gallons on a given day f. Compute the probability that the sales are less than 1500 gallons on a given day g. Compute the probability that the sales are less than or equal to 1500 gallons on a given day h. Compute the probability that the sales are between 1200 and 1500 gallons on a given day

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2. Consider a gas station's daily sales. Let Y be the volume of
gas sold per day in 1000s of gallons. Assume the distribution of
Y follows this pdf:
y
1sxs2
S (v)=.
else
Transcribed Image Text:2. Consider a gas station's daily sales. Let Y be the volume of gas sold per day in 1000s of gallons. Assume the distribution of Y follows this pdf: y 1sxs2 S (v)=. else
Compute the probability that the sales are larger than 1500
gallons on a given day
f. Compute the probability that the sales are less than 1500
gallons on a given day
g. Compute the probability that the sales are less than or equal
to 1500 gallons on a given day
h. Compute the probability that the sales are between 1200 and
1500 gallons on a given day
е.
Transcribed Image Text:Compute the probability that the sales are larger than 1500 gallons on a given day f. Compute the probability that the sales are less than 1500 gallons on a given day g. Compute the probability that the sales are less than or equal to 1500 gallons on a given day h. Compute the probability that the sales are between 1200 and 1500 gallons on a given day е.
Expert Solution
Step 1

The pdf of the random variable Y is 

fy=ky-1y3     , 1x2        0             , elsewhere

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