A technician services mailing machines at companies in the Phoenix area. Depending on the type of malfunction, the service call can take 0.7, 1.4, 2.1, or 2.8 hours. The different types of malfunctions occur at the same frequency. If required, round your answers to two decimal places. a. Develop a probability distribution for the duration of a service call. Duration of Call f(e) 0.7 1.4 2.1 2.8 b. Which of the following probability distribution graphs accurately represents the data set? 0.30- 0.30 0.20 0.20 0.10- 0.10 p0.7 14 2.1 28 0.7 14 2.1 28 3. 0.30- 0.20 0.10 O 0.7 14 21 28 -Select your answer c. Consider the required conditions for a discrete probability function, shown below. f(a) 20 (5.1) E(=) = 1 (5.2) Does this probability distribution satisfy equation (5.1)? - Select your answer Does this probability distribution satisfy equation (5.2)? Select your answer d. What is the probability a service call will take 2.1 hours? A service call has just come in, but the type of malfunction is unknown. It is 3:00 PM. and service technicians usually get off at 5:00 M. What is the probability the service technician will have to work overtime to fix the machine today? e. है है है।
A technician services mailing machines at companies in the Phoenix area. Depending on the type of malfunction, the service call can take 0.7, 1.4, 2.1, or 2.8 hours. The different types of malfunctions occur at the same frequency. If required, round your answers to two decimal places. a. Develop a probability distribution for the duration of a service call. Duration of Call f(e) 0.7 1.4 2.1 2.8 b. Which of the following probability distribution graphs accurately represents the data set? 0.30- 0.30 0.20 0.20 0.10- 0.10 p0.7 14 2.1 28 0.7 14 2.1 28 3. 0.30- 0.20 0.10 O 0.7 14 21 28 -Select your answer c. Consider the required conditions for a discrete probability function, shown below. f(a) 20 (5.1) E(=) = 1 (5.2) Does this probability distribution satisfy equation (5.1)? - Select your answer Does this probability distribution satisfy equation (5.2)? Select your answer d. What is the probability a service call will take 2.1 hours? A service call has just come in, but the type of malfunction is unknown. It is 3:00 PM. and service technicians usually get off at 5:00 M. What is the probability the service technician will have to work overtime to fix the machine today? e. है है है।
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 42PFA
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Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
Question
Transcribed Image Text:A technician services mailing machines at companies in the Phoenix area. Depending on the type of malfunction, the service call can take 0.7, 1.4, 2.1, or 2.8 hours. The different types of malfunctions occur at the same frequency.
If required, round your answers to two decimal places.
a. Develop a probability distribution for the duration of a service call.
Duration of Call
f(a)
0.7
1.4
2.1
2.8
b. Which of the following probablity distribution graphs accurately represents the data set?
2.
fx)
0.304
0.304
0.20
0.20
0.10-
0.10
0 0.7 14 2.1 2.8
O 0.7 14 2.1 2.8
3.
fx)
0.304
0.20
0.10
0.7 1.4 2.1 2.8
|- Select your answer -
c. Consider the required conditions for a discrete probability function, shown below.
f(x) 20
(5.1)
Ef(e) = 1
(5.2)
Does this probability distribution satisfy equation (5.1)?
- Select your answer -
Does this probability distribution satisfy equation (5.2)?
- Select your answer-
d. What is the probability a service call will take 2.1 hours?
e. A service call has just come in, but the type of malfunction is unknown. It is 3:00 P.M. and service technicians usually get off at 5:00 P.M. What is the probability the service technician will have to work overtime to
the machine today?
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