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4. The amount of gas in a car's tank (X) follows a Uniform Distribution where the...
The time that it takes for the next train to come follows a Uniform distribution with...
The time that it takes for the next train to come follows a Uniform distribution with f(x) =1/25 where x goes between 6 and 31 minutes. Round answers to 4 decimal places when possible. This is a Correct distribution. It is a Correct distribution. The mean of this distribution is 18.50 Correct The standard deviation is Incorrect Find the probability that the time will be at most 28 minutes. Incorrect Find the probability that the time will be between 12...
Let X represent the amount of gas, in gallons, drivers put in their cars when fueling...
Let X represent the amount of gas, in gallons, drivers put in their cars when fueling at the small downtown gas station. The model for this variable X is uniformly distributed between 4 and 12 gallons. For this uniform distribution the mean amount of gas put in a car is 8 gallons and the standard deviation is about 2.3 gallons. Your friend is looking at this model for the amount of gas and says: "I remember some rule from my...
5. The amount of regular unleaded gasoline purchased every week at a gas station near WSU...
5. The amount of regular unleaded gasoline purchased every week at a gas station near WSU follows a normal distribution with mean 50000 gallons and standard deviation 10000 gallons. The starting supply of gasoline is 74000 gallons, and there is a scheduled weekly delivery of 47000 gallons. a) Find the probability that, after 11 weeks, the supply of gasoline will be below 20000 gallons.
A random number generator picks a number from 8 to 75 in a uniform manner. Round...
A random number generator picks a number from 8 to 75 in a uniform manner. Round answers to 4 decimal places when possible. a. The mean of this distribution is b. The standard deviation is C. The probability that the number will be exactly 15 is P(x = 15) - O d. The probability that the number will be between 12 and 33 is P(12 < x < 33) = e. The probability that the number will be larger than...
Problem 4. The lifetime of a certain battery follows a normal distribution with a mean of...
Problem 4. The lifetime of a certain battery follows a normal distribution with a mean of 276 and standard deviation of 20 minutes. (a) What proportion of the batteries have a lifetime more than 270 minutes? (b) Find the 90th percentile of the lifetime of these batteries. (c) We took a random sample of 100 batteries. What is the probability that the sample mean of lifetimes will be less than 270 minutes?
1. The amount of soda in a 12 ounce bottle is supposed to be 12 ounces,...
1. The amount of soda in a 12 ounce bottle is supposed to be 12 ounces, right? There is some variability in the amount that the machines dispense into the bottles. Let the real amount of soda in each bottle follow a Normal distribution with mean 12.2 and standard deviation 0.3. a. If the bottle can only hold 13 ounces, what is the probability the bottle will overflow? In other words, what is the probability that the machine dispenses more...
Question 3: The number of cars arrive at a gas station follows a Poisson distribution with...
Question 3: The number of cars arrive at a gas station follows a Poisson distribution with a rate of 10 cars per hour. Calculate the probability that 2 to 4 (inclusive) cars will arrive at this gas station between 10:00 am and 10:30 am. What are the mean and standard deviation of the distribution you have used to answer part a?
1) Given a standard normal distribution, find the probability of having a z score higher than...
1) Given a standard normal distribution, find the probability of having a z score higher than 1.67 ```{r} ``` 2) Given that test scores for a class are normally distributed with a mean of 80 and variance 36, find the probability that a test score is lower than a 45. ```{r} ``` 3) Given a standard normal distribution, find the Z score associated with a probability of .888 ```{r} ``` 4) Find the Z score associated with the 33rd quantile...
3. The average number of miles (in thousands) that a car's tire will function before needing...
3. The average number of miles (in thousands) that a car's tire will function before needing replacement is 72 and the standard deviation is 12. Suppose that 8 randomly selected tires are tested. Round all answers to 4 decimal places where possible and assume a normal distribution. What is the distribution of X? X ~ N( , ) ______ What is the distribution of x¯? x¯ ~ N( , ) ______ If a randomly selected individual tire is tested, find...
A random number generator picks a number from 1 to 21 in a uniform manner. Round...
A random number generator picks a number from 1 to 21 in a uniform manner. Round all answers to two decimal places. A. The mean of this distribution is 11 B. The standard deviation is 5.77 C. The probability that the number will be exactly 15 is P(x = 15) = 0 D. The probability that the number will be between 4 and 8 is P(4 < x < 8) = 0.20 E. The probability that the number will be...
5. The amount of regular unleaded gasoline purchased every week at a gas station near WSU follows a normal distribution with mean 50000 gallons and standard deviation 10000 gallons. The starting supply of gasoline is 74000 gallons, and there is a scheduled weekly delivery of 47000 gallons. a) Find the probability that, after 11 weeks, the supply of gasoline will be below 20000 gallons.
A random number generator picks a number from 8 to 75 in a uniform manner. Round answers to 4 decimal places when possible. a. The mean of this distribution is b. The standard deviation is C. The probability that the number will be exactly 15 is P(x = 15) - O d. The probability that the number will be between 12 and 33 is P(12 < x < 33) = e. The probability that the number will be larger than...
Problem 4. The lifetime of a certain battery follows a normal distribution with a mean of 276 and standard deviation of 20 minutes. (a) What proportion of the batteries have a lifetime more than 270 minutes? (b) Find the 90th percentile of the lifetime of these batteries. (c) We took a random sample of 100 batteries. What is the probability that the sample mean of lifetimes will be less than 270 minutes?
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