Find the mean, n, for the binomial distribution which has the stated values of n and p. Round answer to the nearest tenth. 20). 20) n = 38; p=0.2 A) μ= 71 B) µ=7.6 Ομ-79 D) µ=8.3
Find the mean, n, for the binomial distribution which has the stated values of n and p. Round answer to the nearest tenth. 20). 20) n = 38; p=0.2 A) μ= 71 B) µ=7.6 Ομ-79 D) µ=8.3
A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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![**Question 20: Binomial Distribution Mean Calculation**
Find the mean, \( \mu \), for the binomial distribution which has the stated values of \( n \) and \( p \). Round the answer to the nearest tenth.
**Given:**
- \( n = 38 \)
- \( p = 0.2 \)
**Options:**
- A) \( \mu = 7.1 \)
- B) \( \mu = 7.6 \)
- C) \( \mu = 7.9 \)
- D) \( \mu = 8.3 \)
**Solution:**
Calculate the mean using the formula for the mean of a binomial distribution:
\[
\mu = n \times p
\]
Substitute the given values:
\[
\mu = 38 \times 0.2 = 7.6
\]
Therefore, the answer is option B) \( \mu = 7.6 \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5042d583-556b-443b-8576-6f1c4eafcc34%2F1ba73f81-d3e6-46ce-9f29-d67a33f4fd09%2F19fy9h_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question 20: Binomial Distribution Mean Calculation**
Find the mean, \( \mu \), for the binomial distribution which has the stated values of \( n \) and \( p \). Round the answer to the nearest tenth.
**Given:**
- \( n = 38 \)
- \( p = 0.2 \)
**Options:**
- A) \( \mu = 7.1 \)
- B) \( \mu = 7.6 \)
- C) \( \mu = 7.9 \)
- D) \( \mu = 8.3 \)
**Solution:**
Calculate the mean using the formula for the mean of a binomial distribution:
\[
\mu = n \times p
\]
Substitute the given values:
\[
\mu = 38 \times 0.2 = 7.6
\]
Therefore, the answer is option B) \( \mu = 7.6 \).
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