Please answer number 5A geological study indicates that an exploratory oil well drilled in a particular region should strike oil with probability 0.2.Find the probability that the third oil strike comes on the fifth well.Define Y as the number of wells drilled until the third oil strike comes. Find the distribution of Y.Find E(Y) and V(Y).Find m(t), the moment generating function of Y. Then find E(Y) and V(Y) by m(t)Find the expected value of the random variable Y by the probability distribution and by the moment-generating function, respectively.

Answered: Find the expected value of the random…

Find the expected value of the random variable Y by the probability distribution and by the moment-generating function, respectively.

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.8: Fitting Exponential Models To Data

Problem 56SE: Recall that the general form of a logistic equation for a population is given by P(t)=c1+aebt , such...

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Question

Please answer number 5

A geological study indicates that an exploratory oil well drilled in a particular region should strike oil with probability 0.2.

Find the probability that the third oil strike comes on the fifth well.
Define Y as the number of wells drilled until the third oil strike comes. Find the distribution of Y.
Find E(Y) and V(Y).
Find m(t), the moment generating function of Y. Then find E(Y) and V(Y) by m(t)
Find the expected value of the random variable Y by the probability distribution and by the moment-generating function, respectively.

Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.

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