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A certain insecticide kills 70 % of all insects in laboratory experiments. A sample of 10 insects is exposed to the insecticide in a particular experiment. What is the probability that exactly 6 insects will die? Round your answer to four decimal places. Answer How to enter your answer (opens in new window) Tables Key Keyboard She

A certain insecticide kills 70 % of all insects in laboratory experiments. A sample of 10 insects is exposed to the insecticide in a particular experiment. What is the probability that exactly 6 insects will die? Round your answer to four decimal places. Answer How to enter your answer (opens in new window) Tables Key Keyboard She

MATLAB: An Introduction with Applications
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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**Problem:** A certain insecticide kills 70% of all insects in laboratory experiments. A sample of 10 insects is exposed to the insecticide in a particular experiment. What is the probability that exactly 6 insects will die? Round your answer to four decimal places. **Answer:** *[Input field for entering the answer]* **Instructions:** To solve this problem, you should use the binomial probability formula: \[ P(X = k) = \binom{n}{k} \times p^k \times (1-p)^{n-k} \] Where: - \( n \) = total number of trials (insects) = 10 - \( k \) = number of successful trials (insects that die) = 6 - \( p \) = probability of success (insect dying) = 0.7 Use this formula to calculate the probability and round your answer to four decimal places.
Transcribed Image Text:**Problem:** A certain insecticide kills 70% of all insects in laboratory experiments. A sample of 10 insects is exposed to the insecticide in a particular experiment. What is the probability that exactly 6 insects will die? Round your answer to four decimal places. **Answer:** *[Input field for entering the answer]* **Instructions:** To solve this problem, you should use the binomial probability formula: \[ P(X = k) = \binom{n}{k} \times p^k \times (1-p)^{n-k} \] Where: - \( n \) = total number of trials (insects) = 10 - \( k \) = number of successful trials (insects that die) = 6 - \( p \) = probability of success (insect dying) = 0.7 Use this formula to calculate the probability and round your answer to four decimal places.
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