Practice Question 3:Suppose the time to do a health check (X) is exponentially distributed with an average of 20minutes.a) What is the parameter of this exponential distribution (2)?b) What is the probability that a health check can be done in less than 15 minutes?c) What is the probability that a health check can be done in more than 25 minutes?d) What is the probability that a health check can be done in between 15 and 25 minutes?e) A health check already took 20 minutes, what is the probability that the health checkcan be done in less than 30 minutes?

As per our guidelines we are suppose to answer only three sub parts. Let X be the time to do a…

Answered: Practice Question 3: Suppose the time…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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An average of one property damaged accident occurs per month at an intersection. Decapitation under the assumption that the elapsed time has an exponential distribution, for at least 2 months at this intersection find out the probability that there were no accidents with material damage at all.
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True or False? Assume the below life table was constructed from following individuals who were diagnosed with slow-progressing form of prostate cancer and decided not to receive treatment of any form. The calculated survival probability for year 3, if the Kaplan-Meir approach is used to calculate the survival probability, is approximately 0.85. Time in Years Number at Risk, Nt Number of Deaths, Dt Number Censored, Ct Survival Probability0 20 11 20 3 2 17 1 3 16 2 1
4
Consider an electronic component with a lifetime denoted by a random variable T which is modelled by an exponential distribution with a parameter of average lifetime B = 5. Part A: Exponential Distribution Write the probability that a component is still working after 5 years, as an expression: P(T > 5) = | dt Use t for T e() for exponential function ()! for factorial ( )*( ) for exponents • Help entering equations Part B: Probability Write the probability that a component is still working after 5 years, numerically: P(T > 5) = • Help entering equations Part C: Binomial Distribution Let X be the random variable representing the number of components that are still working after 5 years. Write the binomial distribution for at least 3 components that are still working, as an expression: P(X 2 3) = Use p for parameter p x for the value of the random variable X e() for exponential function C(n,x) for combination of "x out of n" (O! for factorial (O*) for exponents • Help entering equations…
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I need help with this question, A and C are wrong and I don't know D
2 The operator of a pumping station has observed that demand for water during early afternoon hours has an approximately exponential distribution with mean 100 cfs (cubic feet per second). (a) Find the probability that the demand will exceed 250 cfs during the early afternoon on a randomly selected day. (Round your answer to four decimal places.) (b) What water-pumping capacity, in cubic feet per second, should the station maintain during early afternoons so that the probability that demand will exceed capacity on a randomly selected day is only 0.02? (Round your answer to two decimal places.) cfs
Imagine a carnival game that involves spinning a wheel. Based on the spaces, there is a 30% chance that a player will win a prize when they play the game. If a player plays the game 5 times, what is the probability this person will win the game exactly one time? Round to 4 decimal places.
4a.) Draw the graphs. Round your final answers up to 6 decimal places, if applicable. Give the correct units.
where is the 500 coming from when finding the expected frequency?
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