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
storchak [24]
2 years ago
7

Duck #1 lays eggs whose weights are normally distributed with a mean of 70gramsand a standard deviation of 6 grams.Duck #2 lays

eggs whose weights are also normally distributed with a mean of 65 grams and a standard deviation of 5 grams. If an egg is randomly chosen from each duck, what is the probability that Duck #2’s egg weighs more than Duck #1’s egg?
Mathematics
1 answer:
Genrish500 [490]2 years ago
4 0

Answer:

26.11% probability that Duck #2’s egg weighs more than Duck #1’s egg

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

If an egg is randomly chosen from each duck, what is the probability that Duck #2’s egg weighs more than Duck #1’s egg?

Duck #2 egg will weigh more if the subtraction of duck's 2 egg by duck's 1 egg is larger than 0.

When we subtract normal distributions, the mean is the subtraction of the means. So

\mu = 65 - 70 = -5

The standard deviation is the square root of the sum of the variances. So

\sigma = \sqrt{6^2+5^2} = \sqrt{61} = 7.81

Now, we have to find 1 subtracted by the pvalue of Z when X = 0. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{0 - (-5)}{7.81}

Z = 0.64

Z = 0.64 has a pvalue of 0.7389

1 - 0.7389 = 0.2611

26.11% probability that Duck #2’s egg weighs more than Duck #1’s egg

You might be interested in
Which set of angles are alternate interior angles
sweet-ann [11.9K]

Answer:

2&7

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Please I need help :(
lora16 [44]

Answer:

A. x-2y-3z = 1/2

Step-by-step explanation:

yess.. if you take solve every equation then you will get same equation from all the equations

6 0
3 years ago
Jen factored x² - 4x - 21 as (x - 3)(x + 7) What did she do wrong?
alexgriva [62]

Answer:

She didn't put the sign's in the proper place, it should be ( x + 3 ) ( x - 7 )

Step-by-step explanation:

( x - 3 ) ( x + 7 ) = x² + 7x - 3x - 21 = x² + 4x - 21

( x + 3 ) ( x - 7 ) = x² - 7x + 3x - 21 = x² - 4x - 21

5 0
3 years ago
Read 2 more answers
D0,K= (6, 12) (3,6)<br> The scale factor is
dimulka [17.4K]

Answer:

The Scale Factor of the given coordinates is 1/2

8 0
3 years ago
If the average grade of an English class rose from 70 to 85, what is the approximate percent increase?
FrozenT [24]

Answer:

The correct answer is actually around 21%. Are you sure the question wasn't asking what the approximate percent decrease from 85 to 70 was? Because in that case it would be around 17%.

Step-by-step explanation:

6 0
2 years ago
Other questions:
  • 3eighths - negitive 5 and 1 fourths
    11·2 answers
  • Ali was reviewing his family video. the tape totaled 2 hours and 37 minutes. video of his children totaled 72 minutes. how much
    14·2 answers
  • Find the missing factor in the exponential form 60^9=12^9*(Blank)
    10·1 answer
  • Determine the slope and the y-intercept. <br>y = 5x + 6
    5·2 answers
  • a pentagon is a regular pentagon that has 5 sides, so each side has the same length that is (x - 1.5)cm. The perimeter is 22.5 c
    10·1 answer
  • A piggy bank contains 20 pennies, 18 nickels, 25 dimes, and 12 quarters. A coin is chosen, it is not replaced and another is cho
    7·1 answer
  • Z wants to buy five shirts worth 34 dollars each and three baseball caps worth 31
    9·1 answer
  • I need the answer asap
    12·2 answers
  • Can someone help me on this please
    13·1 answer
  • Please help me on my homework
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!