1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lubasha [3.4K]
3 years ago
10

A food processor packages orange juice in small jars. The weights of the filled jars are approximately normally distributed with

a mean of 10.5 ounces and a standard deviation of 0.3 ounce. Find the proportion of all jars packaged by this process that have weights that fall above 10.983 ounces.
Mathematics
1 answer:
Ratling [72]3 years ago
8 0

Answer:

P(X>10.983)=P(\frac{X-\mu}{\sigma}>\frac{10.983-\mu}{\sigma})=P(Z>\frac{10.983-10.5}{0.3})=P(z>1.61)

And we can find this probability using the complement rule and with excel or the normal standard table:

P(z>1.61)=1-P(z

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:

X \sim N(10.5,0.3)  

Where \mu=10.5 and \sigma=0.3

We are interested on this probability

P(X>10.983)

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X>10.983)=P(\frac{X-\mu}{\sigma}>\frac{10.983-\mu}{\sigma})=P(Z>\frac{10.983-10.5}{0.3})=P(z>1.61)

And we can find this probability using the complement rule and with excel or the normal standard table:

P(z>1.61)=1-P(z

You might be interested in
A new company spent $9,399.74 on 24 tablets for their employees. How much did each tablet cost? Round your answer to the nearest
Nitella [24]

$391.655 or $391.66 per table

8 0
3 years ago
Read 2 more answers
Unit rate of 72 ounces for 12 servings
Anarel [89]
Ok this is really easy if you thinl about it
so every ounce is how many servings?
well all you do is divide 72 by 12
happy solving :)
4 0
3 years ago
Read 2 more answers
Kyle sells used cars. He is paid $14/hour plus and 8% commission on sales. What dollar amount of car sales must Kyle make to ear
Kazeer [188]
First we have to find how much Kyle earned taking to consideration only 38h at work
So 38*14$=532$ 
Now, to find commission bonus we have to 1200-532=668
Finally, we can find what dollar amount of car Kyle must sell.
We know that 668 is 8% of that number. We can use proportion and cross multiplying, so:
8% ----------- 668
100% --------x
x= \frac{100*668}{8}=8350$ - its the result.
3 0
3 years ago
What is the slope of these points?
Yuki888 [10]
What is the answer?
7 0
2 years ago
Read 2 more answers
Point W is on line segment VX. given VW=3 and VX=14, determine the length WX​
r-ruslan [8.4K]

Answer:11

Step-by-step explanation:14-3=11

4 0
3 years ago
Other questions:
  • Gas mileage is the number of miles you can drive on a gallon of gasoline. A test of a new car results in 440 miles on10 gallons
    15·1 answer
  • Janel's study group started 3:00. Her friends Jackson and Teagan arrive at 10 minutes after 3. Her friend Natalie arrives 45 min
    6·1 answer
  • he labor force participation rate is the number of people in the labor force divided by the number of people in the country who
    9·1 answer
  • When I was 10 my sister was half my age, now I’m 30. How old is my sister?
    12·2 answers
  • What is the difference written in scientific notation?
    6·1 answer
  • Evaluate: -1 2/5 ÷ 14/15
    12·1 answer
  • Find the volume of a sphere whose r is 20 inches?
    12·2 answers
  • Which formula should be used to find the circumference of a circle
    15·1 answer
  • Can someone assist me on this problem please!
    9·1 answer
  • Piper has a points card for a movie theater. she receives 60 rewards points just for signing up. she earns 13.5 points for each
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!