Step 4 Thus, we have P(0 sz s 3)-(3) - (0). From part (a), we have the cdf value (0) = 0.5, the area to the left of the mean z = μ = 0. Using Table A.3 in the appendix, the value of 0(3) is determined by finding the table entry marked 3.0 and the corresponding column marked .00. This gives us (3) = Use these cdf values to compute the probability, rounding your answer to four decimal places. P(0 ≤ Z ≤ 1) = (3) - (0) -0.5

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
Question
WebAssign
-XCO
10.
Step 4
Thus, we have P(0 ≤ Z≤ 3) = (3) - (0).
From part (a), we have the cdf value (0) = 0.5, the area to the left of the mean z = μ = 0. Using Table A.3 in the appendix, the value of (3) is determined by finding the table entry in the row
marked 3.0 and the corresponding column marked .00. This gives us (3) =
Use these cdf values to compute the probability, rounding your answer to four decimal places.
P(0 ≤ Z ≤ 1) = (3) - (0)
Submit
DETAILS
<<-0.5
Skip (you cannot come back)
DEVORESTAT9 4.4.061.MI.
Data collected at an airport suggests that an exponential distribution with mean value 2.455 hours is a good model for rainfall duration.
(a) What is the probability that the duration of a particular rainfall event at this location is at least 2 hours? At most 3 hours? Between 2 and 3 hours? (Round your answers to four decimal places)
at least 2 hours
0.4428
at most 3 hours
07054
between 2 and 3 hours
0.1482
(b) What is the probability that rainfall duration exceeds the mean value by more than 4 standard deviations? (Round your answer to four decimal places.)
1
ASK YOUR TEACH
What is the probability that it is less than the mean value by more than one standard deviation?
Transcribed Image Text:WebAssign -XCO 10. Step 4 Thus, we have P(0 ≤ Z≤ 3) = (3) - (0). From part (a), we have the cdf value (0) = 0.5, the area to the left of the mean z = μ = 0. Using Table A.3 in the appendix, the value of (3) is determined by finding the table entry in the row marked 3.0 and the corresponding column marked .00. This gives us (3) = Use these cdf values to compute the probability, rounding your answer to four decimal places. P(0 ≤ Z ≤ 1) = (3) - (0) Submit DETAILS <<-0.5 Skip (you cannot come back) DEVORESTAT9 4.4.061.MI. Data collected at an airport suggests that an exponential distribution with mean value 2.455 hours is a good model for rainfall duration. (a) What is the probability that the duration of a particular rainfall event at this location is at least 2 hours? At most 3 hours? Between 2 and 3 hours? (Round your answers to four decimal places) at least 2 hours 0.4428 at most 3 hours 07054 between 2 and 3 hours 0.1482 (b) What is the probability that rainfall duration exceeds the mean value by more than 4 standard deviations? (Round your answer to four decimal places.) 1 ASK YOUR TEACH What is the probability that it is less than the mean value by more than one standard deviation?
Expert Solution
steps

Step by step

Solved in 4 steps with 1 images

Blurred answer
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON