### Probability Problem on Tree Survival**Problem Statement:**Eighty percent of trees planted by a woodlands conservation group survive. What is the probability that:**a.** 10 of the 12 trees just planted will survive? [Answer Box: a.]**b.** At least 10 of the trees just planted will survive? [Answer Box: b.]---**Explanation:**To solve this problem, you would typically use the binomial probability formula, as it is a problem dealing with success/failure outcomes.The binomial probability formula is given by: \[ P(X = k) = \binom{n}{k} p^k (1-p)^{n-k} \] Where: - \( n \) is the number of trials (12 trees).- \( k \) is the number of successful trials (e.g., 10 trees surviving).- \( p \) is the probability of success on an individual trial (0.8 for this problem).- \(\binom{n}{k}\) is the binomial coefficient.**Calculation Steps:**- **Part a:** Calculate \( P(X = 10) \).- **Part b:** Calculate \( P(X \geq 10) = P(X = 10) + P(X = 11) + P(X = 12) \).These calculations provide the required probabilities for each question.

Given problem Given that 13) Eighty percent of trees planted by a woodlands conservation group…

Answered: 13. Eighty percent of trees planted by…

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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13. Eighty percent of trees planted by a woodlands conservation group survive. What is the probabilitu that: a. a. 10 of the 12 trees just planted will survive? b. at least 10 of the trees just planted will survive? b.