![naja101long](/avatars/49609.jpg)
naja101long
13.08.2020 •
Mathematics
A manufacturer knows that their items have a normally distributed lifespan, with a mean of 12.3 years, and standard deviation of 0.8 years. If you randomly purchase one item, what is the probability it will last longer than 14 years
Solved
Show answers
More tips
- H Health and Medicine What is Autism? Understanding the Basics of This Neurodevelopmental Disorder...
- F Food and Cooking The Most Delicious and Simple Fish in Batter Recipe...
- S Society and Politics 10 Tips for Boosting Your Self-Esteem...
- F Food and Cooking Which Calamari Salad is the Most Delicious?...
- H Health and Medicine Mercury Thermometer Danger: What to do when a thermometer breaks?...
- S Style and Beauty How to braid friendship bracelets?...
- F Food and Cooking Delight for Gourmets: How to Prepare Liver Pate...
- C Computers and Internet How to Learn to Type Fast?...
- H Health and Medicine Angina: Causes, Symptoms, and Treatment...
- D Dating, Love, Relationships How to Overcome Jealousy: Tips and Tricks...
Answers on questions: Mathematics
- M Mathematics Which prism has the least volume please help...
- M Mathematics Barry can do a certain job in 3 hours, whereas it takes Sanchez 8 hours to do the same job. How long would it take them to do the job working together?...
- M Mathematics Which of the following equations is direct variation? y=2x,y=x+2,y=2,y=-2x-1...
- E English What does it mean if you re suspicious? what does the word incredible mean? what does the word brutal mean?...
- E English Alfred just let his small dog bogie into the backyard to play. it was a little chilly outside and began to rain really hard, so alfred called bogie to come back inside. alfred...
- M Mathematics Write the system x ′ 1 = 2 x 1 − 3 t x 2 + sin t , x1′=2x1−3tx2+sint, x ′ 2 = e t x 1 + 3 x 2 + cos t x2′=etx1+3x2+cost in the form → x ′ = p ( t ) → x + → f ( t ) ....
Ответ:
probability of lasting longer = 1.7%
Step-by-step explanation:
We are given:
x' = 14 years
μ = 12.3 years
s = 0.8 years
Thus, let's use the formula for the Z-score value which is;
z = (x' - μ)/s
Thus;
z = (14 - 12.3)/0.8
z = 2.125
From the z-distribution table attached, the p-value is ;
P(x' > 2.125) = 1 - 0.983 = 0.017 = 1.7%
Thus,probability of lasting longer = 1.7%
Ответ: