SOCR EduMaterials Activities Discrete Probability examples

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Find the probability that 3 out of 8 plants will survive a frost, given that any such plant will survive a frost with ptobability of 0.30. Also, find the probability that at least 1 out of 8 will survive a frost. What is the expected value and standard deviation of the number of plants that survive the frost?

  • Answer:

\( X \sim b(8,0.3) \), \( P(X=3)= {8 \choose 3} 0.8^30.7^5 \)