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
arsen [322]
3 years ago
10

The weights of a certain brand of candies are normally distributed with a mean weight of 0.8552 g and a standard deviation of 0.

0519 g. A sample of these candies came from a package containing 442 ​candies, and the package label stated that the net weight is 377.3 g.​ (If every package has 442 ​candies, the mean weight of the candies must exceed StartFraction 377.3 Over 442 EndFraction equals0.8537 g for the net contents to weigh at least 377.3 ​g.) a. If 1 candy is randomly​ selected, find the probability that it weighs more than 0.8537 g. The probability is nothing. ​(Round to four decimal places as​ needed.)
Mathematics
1 answer:
castortr0y [4]3 years ago
3 0

Answer:

The probability that the weight of a candy randomly selected is more than 0.8537 is 0.7486

Step-by-step explanation:

The given parameters are;

The mean candle weight = 0.8552 g

The standard deviation = 0.0519 g

The number in the sample, n = 442 candles

By central limit theorem, the sample standard deviation, \sigma _{\bar x} is given by the relationship;

\sigma _{\bar x} = \dfrac{\sigma}{\sqrt{n} } = \dfrac{0.0519}{\sqrt{442} } = 0.002469

The probability is given by the relation;

P\left (\bar{X}>0.8537  \right )= P\left (\dfrac{\bar{X}-\mu }{\dfrac{\sigma }{\sqrt{n}}} >\dfrac{0.8537-\mu }{\dfrac{\sigma }{\sqrt{n}}}  \right )

P\left (\bar{X}>0.8537  \right )= P\left (\dfrac{\bar{X}-0.8552 }{\dfrac{\sigma }{\sqrt{n}}} >\dfrac{0.8537-0.8552 }{\dfrac{0.0519 }{\sqrt{442}}}  \right )

P\left (\bar{X}>0.8537  \right )= P\left (z>-0.6076\right )

The from the z-score table we have = 0.2514

The probability of P (z > -6076) = 1 - 0.2514 =  0.7486

The probability that the weight of a candy randomly selected is more than 0.8537 = 0.7486.

You might be interested in
Which of the following is NOT true about unit rates?
lisov135 [29]
A, it’s the move for that wuestion
3 0
2 years ago
Factorise:p/4-q2/16 pls <br><br> help me with it
Annette [7]

Answer:

1/4 ( p - 1/4 q^2).

Step-by-step explanation:

p/4 - q2/16

The greatest common factor is 1/4 so we have the answer:

1/4 ( p - 1/4 q^2).

7 0
3 years ago
Read 2 more answers
The purpose of this form is so that your employer can withhold the correct amount of federal income tax from your pay.
Jet001 [13]
I-9 form, hope this helps
3 0
3 years ago
Please help! It’s Saturday and I only have this question left on my digital worksheet!
Natalija [7]

Answer:

<h2>The answer is option C</h2>

Step-by-step explanation:

<h3>\frac{ {6}^{ - 3} }{ {6}^{5} }</h3>

Using the rules of indices

Since the bases are the same and are dividing we subtract the exponents

That's

<h3>\frac{ {a}^{x} }{ {a}^{y} }  =  {a}^{x - y}</h3>

So we have

<h3>\frac{ {6}^{ - 3} }{ {6}^{5} }  =  {6}^{ -  3 - 5}  =  {6}^{ - 8}</h3>

Using the rules of indices

<h3>{x}^{ - y}  =  \frac{1}{ {x}^{y} }</h3>

So we have the final answer as

<h2>\frac{1}{ {6}^{8} }</h2>

Hope this helps you

4 0
3 years ago
A basketball player attemps 15 free throws in a game. He makes 9 of the attempted free throws. Which ratio describes the number
Ber [7]

Answer:

1) 3: 5

Step-by-step explanation:

Hope this helps!!! :)

5 0
3 years ago
Other questions:
  • How to to determine if two polygons have the same side and shape
    8·1 answer
  • 10 feet and 3 inches = inches
    5·1 answer
  • What is the square root of 10
    15·1 answer
  • 5+1.5(2d-1)=0.5<br><br><br> How do you solve this?
    5·2 answers
  • The school band has a ratio of 3 clarinets to 2 trumpets to 1 trombone.If there are 15 clarinet players how many trumpets and tr
    8·2 answers
  • What is the percent of increase from 5050 to 6767 ?
    12·1 answer
  • Find the slope and y-intercept, then write the equation of the line WILL GIVE BRAINLIEST URGENT
    7·1 answer
  • Helpppppp question 2
    9·1 answer
  • -4x + 2x + 3x + 8<br> Asap
    9·1 answer
  • The Math Club is baking pies for a bake sale. The fruit-pie recipe calls for twice as many peaches as nectarines. If it takes a
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!