show work please 2. The time X (minutes) for a lab assistant to prepare the equipment...
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PROBLEM 16.2 (pg 143,#7) The time X (in minutes) for a lab assistant to prepare the equipment for a certain experiment is known to take anywhere from 10 to 35 minutes. Assume that the probability is uniformly distributed over those times a. The pdf of X is s (x)- . What is the probability that the lab assistant takes c. For any a such that 10 < aa+8 35 (this means less than half...
Test # 3 *SHOW ALL 1. The reaction time X (in minutes) of a certain chemical process follows a uniform probability distribution between 5 minutes and 10 minutes. (5pts) a) Draw the graph of the density curve b) What is the probability that the reaction time is between 6 minutes and 8 minutes the following to twn decimal places. (3pts each)
Problem 8 The time (in minutes) until the next bus departs a major bus depot follows a uniform distribution from 30 to 48 minutes. Let X denote the time until the next bus departs. a. The distribution is Uniform and is continuous b. The mean of the distribution is u = 39 c. The standard deviation of the distribution is 0 = d. The probability that the time until the next bus departs is between 30 and 40 minutes is...
(15 points) A manufacturer is studying the length of time required by a maintenance team to respond to reported failure of a specific machine in the plant. The plant manager wants to know the percentage of repair calls answered within 10 minutes. 2. The response time, X, measured in minutes is known to have an exponential distribution. For the exponential distribution, as λ increases what happens to the mean and variance of the distribution? 4 points) Draw a sketch of...
2. In a toxicology experiment, Y denotes the death time in minutes) for a single rat treated with a certain toxin. The probability density function (pdf) for Y is given by fy (v) = Tey, y> 0, 0, otherwise. (a) Derive the cumulative distribution function (cdf) of Y. (b) Find the probability that this rat survive more than 2 minutes. (c) Find the expected death time for this rat. (d) Find the variance of Y. (e) Find the mgf of...
An article considered the use of a uniform distribution with A 0.20 and B4.25 for the diameter X of a certain type of weld (mm) (a) Determine the pdf of X. (Round your answers to three decimal places.) (b) What is the probability that diameter exceeds 1 mm? (Round your answer to three decimal places.) (c) What is the probability that diameter is within 1 mm of the mean diameter? (Round your answer to- three decimal places.) (d) For any value a satisfying 0.20...
do with a ti 84 and explain how you got your answers the reaction time X (in minutes) of a certain chemical process follows a uniform probability distribution with 5 < X < 10. draw a graph of the density curve. what is the probability that the reaction time is between 6 and 8 minutes? what is the probability that the reaction time is between 5 and 8 minutes? what is the probability that the reaction time is less than...
Lab 6.1 The Mean of a Discrete Random Variable In this lab, you will discuss how to calculate the mean for a discrete random variable. At Rushmore Community College, there have been complaints about how long it takes to get food from the college cafeteria. In response, a study was conducted to record the total amount of time students had to wait to get their food. The following table gives the total times (rounded to the nearest 5 minutes) to...
A study of the time spent shopping in a supermarket for 20 specific items showed an approximately uniform distribution between 25 25 minutes and 45 45 minutes. Bold a. What a. What is the probability that the shopping time will be between 30 30 and 37 37 minutes? Bold b. What b. What is the probability that the shopping time will be less than 36 36 minutes? Bold c. What c. What are the mean and standard deviation of the...
The time (in minutes) until the next bus departs a major bus depot follows a uniform distribution from 20 to 41 minutes. Let X denote the time until the next bus departs. (3%) The distribution is and is . (3%) The density function for X is given by f(x)= , with ≤X≤ . (3%) The mean of the distribution is μ= . (3%) The standard deviation of the distribution is σ= . (3%) The probability that...