Question

The daily sales of gasoline (in liters) at a service stations are assumed to be uniformly...

The daily sales of gasoline (in liters) at a service stations are assumed to be uniformly distributed on the interval [2000,5000]. Draw the graph of the probability density function. a) What is the probability that the service station will sell at least 3500 liters? b) What is the probability that the station will sell exactly 2600 liters?

Homework Answers

Answer #1

Graph

a)

------------------------------------------

b) For this part I have used minitab software

Steps

  1. Calc-Probability ditribution-Uniform
  2. ok

output

hence required probility 0.000333

------------------------------------------------------------

PLEASE UPVOTE IF YOU LIKE MY ANSWER

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The mean daily production of a herd of cows is assumed to be normally distributed with...
The mean daily production of a herd of cows is assumed to be normally distributed with a mean of 30 liters, and standard deviation of 3.1 liters. (a) What is the probability that daily production is less than 33.7 liters? (b) What is the probability that daily production is more than 24.5 liters?
kindly do it step by step The demand for high-grade gasoline at a service station is...
kindly do it step by step The demand for high-grade gasoline at a service station is normally distributed with mean 27500 gallons per day and standard deviation 5530. Find two value that will give a symmetric 0.88 probability interval for the amount of high-grade gasoline demanded daily.
Leakage from underground gasoline tanks at service stations can damage the environment. it is estimated that...
Leakage from underground gasoline tanks at service stations can damage the environment. it is estimated that 25% of these tanks leak. you examine 15 tanks chosen at random, independently of each other. 1) what is the probability that 5 tanks leak 2) what is the probability that less than 4 tanks leak 3) given that less than 4 tanks leak, which is the probability that exactly 3 leak?
The mean daily production of a herd of cows is assumed to be normally distributed with...
The mean daily production of a herd of cows is assumed to be normally distributed with a mean of 36 liters, and standard deviation of 4.8 liters. A) What is the probability that daily production is less than 45.7 liters? Answer= (Round your answer to 4 decimal places.) B) What is the probability that daily production is more than 22.8 liters? Answer= (Round your answer to 4 decimal places.) Warning: Do not use the Z Normal Tables...they may not be...
The mean daily production of a herd of cows is assumed to be normally distributed with...
The mean daily production of a herd of cows is assumed to be normally distributed with a mean of 39 liters, and standard deviation of 7.6 liters. A) What is the probability that daily production is less than 29.1 liters? Answer= (Round your answer to 4 decimal places.) B) What is the probability that daily production is more than 28.7 liters? Answer= (Round your answer to 4 decimal places.) Warning: Do not use the Z Normal Tables...they may not be...
1. Consider the case of two gas stations that are located at two ends of a...
1. Consider the case of two gas stations that are located at two ends of a small town. The population is uniformly distributed from these two gas stations. The cost of traveling from one gas station to the other is 50 cents. The gas stations can buy a gallon of gasoline in the wholesale market at $1. 25 per gallon a. How does firm 1 set prices given the price p2 of the other firm? That is, what is the...
Suppose that it takes students between five and 10 minutes to walk from one classroom to...
Suppose that it takes students between five and 10 minutes to walk from one classroom to another, and that the time is distributed uniformly. The following graphs apply: a. What is the value of c, the lower end-point of the interval where the probability density function, pdf, is non-zero? b. What is the value of d, the upper end-point of the interval where the probability density function, pdf, is non-zero?    c. What is the value of h, shown in the...
The weight of a .5 cubic yard bag of landscape mulch in uniformly distributed over the...
The weight of a .5 cubic yard bag of landscape mulch in uniformly distributed over the interval from 38.5 to 41.5 pounds. a. Give a mathematical expression for the probability density function. b. What is the probability that a bag will weigh more than 40 pounds? c. What is the probability that a bag will weigh less than 39 pounds? d. What is the probability that a bag will weigh between 39 and 40 pounds? Please show process.
You have reasons to believe that your plane will arrive at a time that is uniformly...
You have reasons to believe that your plane will arrive at a time that is uniformly distributed between 10:30 and 10:50. By 10:37, you’re still waiting for the plane. a. What is the probability that you will have to wait at least another 5 minutes for the plane? Hint: Draw the graph (with the x and y axis labeled) and find the area being described. b. Find the mean and standard deviation of the situation described above.
A) The amount of time it takes students to complete a quiz is uniformly distributed between...
A) The amount of time it takes students to complete a quiz is uniformly distributed between 35 to 65 minutes. One student is selected at random. Find the following events: a. The probability density function (pdf) of amount of time taken for the quiz. b. The probability that the student requires more than 50 minutes to complete the quiz.(1 mark) c. The probability that completed quiz time is between 45 and 55 minutes. (1 mark) d. The probability that the...