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а. Р (X < 0.4) b. Р (X <0.4) с. Р (0.3 < X<0.5) d. P (X < 0.3 от X> 0.5)

а. Р (X < 0.4) b. Р (X <0.4) с. Р (0.3 < X<0.5) d. P (X < 0.3 от X> 0.5)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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EXAMPLE 9.11 Random numbers The random number generator will spread its output uniformly (evenly) across the entire interval from 0 to 1 as we allow it to generate a long sequence of numbers. The results of many trials are represented by the uniform density curve shown in Figure 9.4. This density curve has height 1 over the interval from 0 to 1. The area under the curve is 1, and the probability of any event is the area under the curve and above the event in question. Area = 0.4 Area = 0.5 Area = 0.2 Height = 1 0.3 0.7 0.5 0.8 1 (a) P(0.3<Y<0.7) (b) P(Y<0.5 or Y> 0.8)
Transcribed Image Text:EXAMPLE 9.11 Random numbers The random number generator will spread its output uniformly (evenly) across the entire interval from 0 to 1 as we allow it to generate a long sequence of numbers. The results of many trials are represented by the uniform density curve shown in Figure 9.4. This density curve has height 1 over the interval from 0 to 1. The area under the curve is 1, and the probability of any event is the area under the curve and above the event in question. Area = 0.4 Area = 0.5 Area = 0.2 Height = 1 0.3 0.7 0.5 0.8 1 (a) P(0.3<Y<0.7) (b) P(Y<0.5 or Y> 0.8)
9.11 Random numbers. Let X be a random number between 0 and 1 produced by the random number generator described in Example 9.11 and Figure 9.4. Find the following probabilities: a. P (X < 0.4) b. P(X < 0.4) с. Р (0.3 < X<0.5) d. P (X <0.3 oт X> 0.5)
Transcribed Image Text:9.11 Random numbers. Let X be a random number between 0 and 1 produced by the random number generator described in Example 9.11 and Figure 9.4. Find the following probabilities: a. P (X < 0.4) b. P(X < 0.4) с. Р (0.3 < X<0.5) d. P (X <0.3 oт X> 0.5)
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