Question

#1 Suppose a random variable X follows a uniform distribution with minimum 10 and maximum 50....

#1 Suppose a random variable X follows a uniform distribution with minimum 10 and maximum 50. What is the probability that X takes a value greater than 35? Please enter your answer rounded to 4 decimal places.

#2 Suppose X follows an exponential distribution with rate parameter 1/10. What is the probability that X takes a value less than 8? Please enter your answer rounded to 4 decimal places.

#3 Suppose the amount of time a repair agent requires to fix a furnace has a uniform distribution with a minimum of 30 minutes and a maximum of 5 hours. What is the probability that the repair agent will take less than 1 hour to complete the repair? Please round your answer to 4 decimal places.

#4 Suppose cars pass an intersection at a rate of 120 per hour. What is the probability that we need to wait between 25 and 30 seconds for the next car to pass? Please round your answer to 4 decimal places.

Homework Answers

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
1. A random variable X has a normal distribution with a mean of 75 and a...
1. A random variable X has a normal distribution with a mean of 75 and a variance of 9. Calculate P(60 < X < 70.5). Round your answer to 4 decimal places. 2. A random variable X has a uniform distribution with a minimum of -50 and a maximum of -20. Calculate P(X > -25). Round your answer to 4 decimal places. 3.Which of the following statements about continuous random variables and continuous probability distributions is/are TRUE? I. The probability...
A random variable X follows the continuous uniform distribution with a lower bound of −7 and...
A random variable X follows the continuous uniform distribution with a lower bound of −7 and an upper bound of 10. a. What is the height of the density function f(x)? (Round your answer to 4 decimal places.) b. What are the mean and the standard deviation for the distribution? (Round your answers to 2 decimal places.) c. Calculate P(X ≤ −5). (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.)
The amount of ice cream a soft serve machine dispenses follows a uniform distribution, with 3.5...
The amount of ice cream a soft serve machine dispenses follows a uniform distribution, with 3.5 ounces the minimum amount dispensed and 5 ounces the maximum dispensed. Answer the following questions. Use decimals for your answers, and when necessary round answers to 3 decimal places. What is the probability the machine dispenses less than 4 ounces? What is the probability that the machine dispenses between 3.9 and 4.2 ounces?
A random variable follows the continuous uniform distribution between 45 and 135. ​a) Calculate the probability...
A random variable follows the continuous uniform distribution between 45 and 135. ​a) Calculate the probability below for the distribution. ​P(75less than or equalsxless than or equals125​) ​b) What are the mean and standard deviation of this​ distribution? ​a) ​P(75less than or equalsxless than or equals125​)equals nothing ​(Type an integer or decimal rounded to three decimal places as​ needed.)
Question 2 Suppose that X has a discrete uniform distribution f(x)={1/3, x=1,2,3 0, otherwise A random...
Question 2 Suppose that X has a discrete uniform distribution f(x)={1/3, x=1,2,3 0, otherwise A random sample of n=37 is selected from this population. Find the probability that the sample mean is greater than 2.1 but less than 2.4. Express the final answer to four decimal places (e.g. 0.9876). The probability is ???
A random variable follows the continuous uniform distribution between 25 and 45. ​a) Calculate the probabilities...
A random variable follows the continuous uniform distribution between 25 and 45. ​a) Calculate the probabilities below for the distribution. ​ 1) ​P(xless than or equals40​) ​2) ​P(xequals41​) ​b) What are the mean and standard deviation of this​ distribution? ​a)​ 1) ​P(xless than or equals40​)equals nothing ​(Type an integer or decimal rounded to three decimal places as​ needed.) ​2) ​P(xequals41​)equals nothing ​(Type an integer or decimal rounded to three decimal places as​ needed.) ​b) The mean of this distribution is...
Consider a random variable x that follows a uniform distribution, with a = 2 and b...
Consider a random variable x that follows a uniform distribution, with a = 2 and b = 13. What is the probability that x is less than 5? a. P(x < 5) = 0.7273 b. P(x < 5) = 0.2727 c. P(x < 5) = 0.13635 d. P(x < 5) = 0.08181 What is the probability that x is between 3 and 6? a. P(3 ≤ x ≤ 6) = 0.0886275 b. P(3 ≤ x ≤ 6) = 0.10908 c....
a) Suppose that x is a uniform random variable between a = 5 and b =...
a) Suppose that x is a uniform random variable between a = 5 and b = 20.  Find the probability that a randomly selected observation exceeds 16. Round your answer to three decimal places. b) Suppose that x is a uniform random variable between a = 5 and b = 20. Find the mean of x. c) Suppose that x is a uniform random variable between a = 5 and b = 20. Find the standard deviation of x. Round your...
5. Suppose x is a random variable best described by a uniform probability distribution with C=30...
5. Suppose x is a random variable best described by a uniform probability distribution with C=30 and D=110 Find P(X > 94) 6. Suppose x is a random variable best described by a uniform probability distribution with C=40 and D=100 Find P(X < 88) 7. Suppose x is a uniform random variable with c = 30 and d = 110. Find P(x < 46). 11. High temperatures in a certain city for the month of August follow a uniform distribution...
Suppose the random variable X follows a normal distribution with mean μ=52 and standard deviation σ=10....
Suppose the random variable X follows a normal distribution with mean μ=52 and standard deviation σ=10. Calculate each of the following. In each case, round your response to at least 4 decimal places. a) P(X < 41) = b) P(X > 61) = c) P (47 < X < 67) =