Question
Compute the probability of
successes using the binomial formula. Round your answers to three decimal places as needed.
Part:
Part 1 of 5
(a)
Part:
Part 1 of 5
(a)
Ask by Knight Reeves. in the United States
Mar 22,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The probability of 1 success is approximately 0.471.
Solution
Step 1: Recall the binomial probability formula:
Step 2: Substitute the given values
,
, and
:
Step 3: Compute the binomial coefficient:
Step 4: Calculate the probability:
Step 5: Round the result to three decimal places:
Answered by UpStudy AI and reviewed by a Professional Tutor
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Bonus Knowledge
To compute the probability of
successes in a binomial distribution, we use the binomial probability formula:
For your specific case where
,
, and
:
-
Calculate the binomial coefficient:
-
Now, substitute into the formula:
-
Calculate:
Rounding to three decimal places gives: