Essay Available:
Pages:
1 page/≈275 words
Sources:
No Sources
Style:
APA
Subject:
Mathematics & Economics
Type:
Math Problem
Language:
English (U.S.)
Document:
MS Word
Date:
Total cost:
$ 4.32
Topic:
Frequency Distributions
Math Problem Instructions:
Please answer the below questions
The number of vacation days taken by employees of a company is normally distributed with a mean of 14 days and a standard deviation of 3 days. For the next employee, what is the probability that the number of days of vacation taken is less than 10 days? More than 21 days? Post your solutions to the problems
Math Problem Sample Content Preview:
Please answer the below questions
The number of vacation days taken by employees of a company is normally distributed with a mean of 14 days and a standard deviation of 3 days. For the next employee, what is the probability that the number of days of vacation taken is less than 10 days? More than 21 days? Post your solutions to the problems.
1 Result
PÂ (X<10)=0.0918
The probability that the next employee will take a vacation of less than ten (10) days is 0.0918.
Explanation
Step 1: Sketch the curve.
The probability that X<10 is equal to the blue area under the curve.
Step 2:
Since μ=14 and σ=3 we have:
P ( X<10 )=P ( X‒μ<10‒14 )=P (X‒μσ<10‒143)
Since x‒μσ=Z and 10‒143=‒1.33 we have:
P (X<10)=P (Z<‒1.33)
Step 3: Use the standard normal table to conclude that:
P (Z<‒1.33)=0.0918
2 Result
PÂ (X>21)=0.0099
The probability that the next employee will take a vacation of more than 21 days is very small at 0.0099.
Explanation
Step 1: Sketch the curve.
The probability that X>21 is equal to the blue area under the curve.
Step 2:...
The number of vacation days taken by employees of a company is normally distributed with a mean of 14 days and a standard deviation of 3 days. For the next employee, what is the probability that the number of days of vacation taken is less than 10 days? More than 21 days? Post your solutions to the problems.
1 Result
PÂ (X<10)=0.0918
The probability that the next employee will take a vacation of less than ten (10) days is 0.0918.
Explanation
Step 1: Sketch the curve.
The probability that X<10 is equal to the blue area under the curve.
Step 2:
Since μ=14 and σ=3 we have:
P ( X<10 )=P ( X‒μ<10‒14 )=P (X‒μσ<10‒143)
Since x‒μσ=Z and 10‒143=‒1.33 we have:
P (X<10)=P (Z<‒1.33)
Step 3: Use the standard normal table to conclude that:
P (Z<‒1.33)=0.0918
2 Result
PÂ (X>21)=0.0099
The probability that the next employee will take a vacation of more than 21 days is very small at 0.0099.
Explanation
Step 1: Sketch the curve.
The probability that X>21 is equal to the blue area under the curve.
Step 2:...
Get the Whole Paper!
Not exactly what you need?
Do you need a custom essay? Order right now:
👀 Other Visitors are Viewing These APA Math Problem Samples:
- MAT101 Case: Expressions and Equations10 pages/≈2750 words | No Sources | APA | Mathematics & Economics | Math Problem |
- Quanitive Analysis1 page/≈275 words | 1 Source | APA | Mathematics & Economics | Math Problem |
- MAT101 SLP4 Answer Template10 pages/≈2750 words | No Sources | APA | Mathematics & Economics | Math Problem |
- Basic Statistics Module 2 Case10 pages/≈2750 words | No Sources | APA | Mathematics & Economics | Math Problem |
- Solving Quadratic Equations1 page/≈275 words | No Sources | APA | Mathematics & Economics | Math Problem |
- Hypothesis. PSYB07 Assignment1 page/≈275 words | No Sources | APA | Mathematics & Economics | Math Problem |
- Math Basics Statstics10 pages/≈2750 words | No Sources | APA | Mathematics & Economics | Math Problem |