The time it takes Alice to commute to UCSD is a Gaussian random variable X with a mean of 30 minutes and a standard deviation of 3 minutes. a. What is the probability that Alice’s commute to UCSD takes at least 36 minutes? P X > 36 = b. With probability 0.9, Alice’s commute to campus takes more than 30− ∆ minutes but less than 30 + ∆ minutes. What is the value of ∆? ∆ = Note: In this problem, it is OK to provide approximate answers. Use the table of Φ(·), which is the CDF of the standard Gaussian random variable, given on the next page.
You haven't provided the CDF table for Z-score of Gaussian Random Variable mentioned in the question. So in part 'b' of question use exact value for if you have that in the table.
The time it takes Alice to commute to UCSD is a Gaussian random variable X with...
Assume the commute time is a random variable that follows the normal distribution with a mean of 10.3 minutes with a standard deviation of 4.8 minutes. You wish to calculate the probability that the commute time is more than 16.3 minutes. What is the z value you would look up in the standard normal table to answer this question? What is the probability that the commute time is more than 16.3 minutes? What would be the targeted average commute time...
let x be the random variable that represent the lenght of time it takes a student to complete maths 23 exam. it was found that x has an approximately normal distribution with mean 1.5 hours and standard deviation =025 hours. (a) what is the probability that it takes at least 1.4 hours for a randomly selected student to complete the exam? (b) suppose 25 students are selected at random,what is the probability that the mean time x of completing the...
The mean commute time for all commuting students of a university is 23 minutes with a population standard deviation of 4 minutes. A random sample of 63 driving times of commuters is taken. ̅ a) [2pts] Is the sampling distribution of the sample mean ? normal? Circle the number of i. ii. iii. iv. b) the best answer. Yes, because the sample size n is greater than 30. No, because the parent population of the data is not said to...
The random variable X is exponentially distributed, where X represents the time it takes for a person to choose a birthday gift. If X has an average value of 25 minutes, what is the probability that X is less than 31 minutes? (Do not round until the final step. Round your answer to 3 decimal places.)
The random variable X is exponentially distributed, where X represents the time it takes for a person to choose a birthday gift. If X has an average value of 21 minutes, what is the probability that X is less than 26 minutes? (Do not round until the final step. Round your answer to 3 decimal places.)
The random variable X is exponentially distributed, where X represents the time it takes for a person to choose a birthday gift. If X has an average value of 22 minutes, what is the probability that X is less than 25 minutes? (Do not round until the final step. Round your answer to 3 decimal places.)
The random variable X is exponentially distributed, where X represents the time it takes for a person to choose a birthday gift. If X has an average value of 24 minutes, what is the probability that X is less than 29 minutes? (Do not round until the final step. Round your answer to 3 decimal places.)
1) A Gaussian random variable has a mean value of 3 and a standard deviation of 2. Find the probability that the value of the random variable exceeds 9. Repeat for the probability that it is less than -5. ANSWER WITH COMPLETE STEPS THANKS
Question 10 1 pts The time that a student takes to reach the FIU's Miramar campus follows the normal distribution with a mean of 29 minutes and a standard deviation of 7. What is the probability that a randomly selected student takes between 24 and 30 minutes to reach the campus? O .29 36 32 O 68
(2 points) Consider a random variable X that takes the values 0, 50, 100, 150, and 200, each with probability 0.2. Let Y = |X − 100| be the (absolute) deviation of X from its average value 100. Compute the probability mass function (PMF) and cumulative distribution function (CDF) of Y . Explain.