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)

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

  1. Find the probability that the third oil strike comes on the fifth well.
  2. Define Y as the number of wells drilled until the third oil strike comes. Find the distribution of Y.
  3. Find E(Y) and V(Y).
  4. Find m(t), the moment generating function of Y. Then find E(Y) and V(Y) by m(t) 
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