Let x be the amount of time (in minutes) that a particular commuter will have to wait for a train. Suppose that the distribution is uniform and ranges between 0 and 20 minutes. a. Draw the density curve for x. b. Findthevalueoftheheight. c. What is the probability that x is more than 8 minutes?

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Chapter1: Combinatorial Analysis
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Let x be the amount of time (in minutes) that a particular commuter will have to wait for a train.
Suppose that the distribution is uniform and ranges between 0 and 20 minutes.
a. Draw the density curve for x.
b. Findthevalueoftheheight.
c. What is the probability that x is more than 8 minutes?
d. What is the probability that x is between 7 and 15 minutes?
e. Find the value of c for which P(x < c) = 0.7.

Question 2 (Section 6.3)
A restaurant might estimate that their total sales for the upcoming week will be a minimum
of $10,000 and a maximum of $30,000.
The probability distribution is given as follows
Distribution of Sales
Density
$10k
$20 $25
Sales
a. Find the value of h.
b. Find P(x < 15)
c. Find P(20 <<x< 30) and interpret the value.
Transcribed Image Text:Question 2 (Section 6.3) A restaurant might estimate that their total sales for the upcoming week will be a minimum of $10,000 and a maximum of $30,000. The probability distribution is given as follows Distribution of Sales Density $10k $20 $25 Sales a. Find the value of h. b. Find P(x < 15) c. Find P(20 <<x< 30) and interpret the value.
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