Let x have an exponential distribution with = 0.3. Find the probability. (Round your answer to four decimal places.)P(x > 7)

Given that, The random variable is exponentially distributed. X~Exp(λ=0.3) The probability…

Answered: Let x have an exponential distribution…

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...

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Complete the PDF. P(X = x) x • P(X = x) 0.1 1 0.4 0.2 O Part (a) Find the probability that X = 2. O Part (b) Find the expected value.
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Find the standard deviation. (Enter an exact number as an integer, fraction, or decimal.) x P(x) x*P(x) (x − ?)2P(x) 2 0.1 2(0.1) = 0.2 (2 − 5.4)2(0.1) = 1.156 4 0.3 4(0.3) = 1.2 (4 − 5.4)2(0.3) = 0.588 6 0.4 6(0.4) = 2.4 (6 − 5.4)2(0.4) = 0.144 8 0.2 8(0.2) = 1.6 (8 − 5.4)2(0.2) = 1.352
Use the numbers given in step 8 to find the probability in step 9.
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N=9,p=0.8,x less than or equal to 3 The probability of x less than or equal to 3 success is ? Round to four decimal places as needed
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Highway engineers use f(x) = (0.905)* to estimate the likelihood, or probability, that no vehicle will enter a particular intersection within an interval of x seconds. Construct a table of f(x) = (0.905)* starting at x = 0 and incrementing by 10, until x = 50. a. Evaluate f(1) and interpret the result. b. For a time interval of what length is there only a 2% chance that no cars will enter the intersection?
Thank you for bringing this to my attention and thank you for explaining the concepts as well as you are for me.

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Let x have an exponential distribution with = 0.3. Find the probability. (Round your answer to four decimal places.) P(x >7)