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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.1: Measures Of Center

Problem 9PPS

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Problem: The probability density function of a random variable is given by the exponential
distribution
Find the probability that
f(x) = {0.55e−0.55x 0 < x, O elsewhere}
a. the time to observe a particle is more than 200 microseconds.
b. the time to observe a particle is less than 10 microseconds.

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Can someone explain it to me why I’m getting wrong answer??!!!
answer only part b .
4. "Time headway" In highway traffic flow the elapsed time between the time that one car finishes passing a fixed point and the instant that the next car begins to pass that point is called time headway. Now, let X = the time headway for two randomly chosen consecutive cars on a highway during a period of heavy traffic flow. The following probability density function of X is suggested by traffic experts: f(x) = 0.15*e-0.15(x-0.5) for (x ≥ 0.5 sec) 0 otherwise a. Draw f(x) from x = 0 to x= 10 sec. b. Find P(X ≤ 5 sec) and show it on the figure you have drawn. c. What is E[X] and Var[X] ? d. Find Cumulative Distribution Function of X.
3. The level of impurity (in percent) in the product of a certain chemical process is a random variable with probability density function 3 64 -x²(4 - x) 0 0 < x < 4 otherwise a. What is the probability that the impurity level is greater than 3%? b. What is the probability that the impurity level is between 2% and 3%? c. Find the mean impurity level. d. Find the variance of the impurity levels.
part D E need
Use the following to answer the next 3 questions. The random variable X is described by the following pdf: f(x) = {3x 3x-4, x > 1 otherwise 19. What the cumulative density function? a. F(x) = 1 b. F(x) = -3 -x-³ c. F(x): = 1-x-3 d. F(x) = 3x¯4 20. What is the probability X will be less than 1.2? a. 0.634 b. 0.421 c. 0.579 d. 0.113 21. What value represents the 95th percentile? a. 2.71 b. 1.65 c. 1.96 d. 1.17
1. The probability density function of a random variable X is given by f (x) : 1 ex/300 300 for x 2 0 and f (x) = 0 for x < 0. Find P (X s 600).
1 The length of a petal on a certain flower varies from 1.44 cm to 4.84 cm and has a probability density function defined by f(x) = 2√√x a. Greater than or equal to 2.8 cm b. Less than or equal to 2.1 cm c. Between 2.1 cm and 2.8 cm a. The probability that the length of a randomly selected petal is greater than or equal to 2.8 cm is b. The probability that the length of a randomly selected petal is less than or equal to 2.1 cm is c. The probability that the length of a randomly selected petal is between 2.1 cm and 2.8 cm is Find the probabilities that the length of a randomly selected petal will be as follows. G (Round to four decimal places as needed.) (Round to four decimal places as needed.) (Round to four decimal places as needed.)
Question 2. A continuous random variable, X has the following probability density function: S(x) = cx² 0sxs10 = 0 otherwise a) Find the value of c. b) Find the mean, median, mode, standard deviation and coefficient of variation. c) Find the probability that X is greater than 3.0 given that X is between 2.0 and 5.0.
2. The number of minutes a flight from Phoenix to Tucson is early or late is a random variable whose 1 (36– x*) for-6
Solve each problem on a separate sheet of paper. Show all necessary solutions. 1. Let X denotes the percentage of time out of a 40-hour workweek that a call center agent is directly serving a client by answering phone calls. Suppose that X has a probability density function defined by f(x) = 3r for 0 sxs 1. Find the mean and variance of X. Interpret the results. %3D
1 The time between major earthquakes in the Taiwan region is a random variable with probability density function f(t) = -t/3650.1 where t is measured in days. 3650.1 A. Find the probability that the time between a major earthquake and the next one is more than 2 years but less than 6 years. B. Find the probability that the time between a major earthquake and the next one is more than 8030 days.

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