Math Problem Statement
Consider the following data:
x −5 −4 −3 −2 −1 P(X=x) 0.2 0.3 0.2 0.1 0.2
Step 4 of 5 : Find the value of P(X≥−2) . Round your answer to one decimal place.
Solution
To find , we sum the probabilities of all values of that are greater than or equal to .
From the given data:
Now, summing these probabilities:
Rounding to one decimal place (though it's already in that form):
Would you like a breakdown of probability concepts?
Related Questions:
- What is the probability of ?
- How do we verify that this is a valid probability distribution?
- What is the expected value of this distribution?
- How would the probability change if another value was added to the dataset?
- What is the variance of in this distribution?
Tip: Always check that the sum of all probabilities equals 1 to confirm a valid probability distribution!
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Math Problem Analysis
Mathematical Concepts
Probability
Discrete Probability Distribution
Summing Probabilities
Formulas
P(X ≥ -2) = P(X = -2) + P(X = -1)
Theorems
Probability Axioms
Valid Probability Distribution
Suitable Grade Level
Grades 8-10