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
Svetlanka [38]
3 years ago
5

The lifespan of a lion in a particular zoo are normally distributed. The average lion lives 12.5 years the. Standard deviation i

s 2.4 years. Use the empirical rule(68-95-99.7%) to estimate the probability of a lion living between 5.3 and 10.1 years.
Mathematics
1 answer:
Anika [276]3 years ago
5 0

Answer:

0.1585

Step-by-step explanation:

Solution:-

The lifespan of a lion in a particular zoo is normally distributed with average lion lives:

                    Mean u = 12.5 years

                    Standard deviation s = 2.4 years

We are to use the empirical rule ( 68-95-99.7% ) to estimate the probability of a lion living between 5.3 and 10.1.

- The empirical rule ( 68-95-99.7% ) states:

                     P ( u - s < X < u + s ) = 68%

                     P ( u - 2s < X < u + 2s ) = 95%

                     P ( u - 3s < X < u + 3s ) = 99.7%

- The test have the following number of standard deviations (s):

                 

                    u - s < X < u + s  = 12.5 - 2.4 < X < 12.5 + 2.4  = 10.1 < X < 14.9

                    u - 2s < X < u + 2s = 12.5 - 4.8 < X < 12.5 + 4.8  = 7.7 < X < 17.3

                    u - 3s < X < u + 3s = 12.5 - 7.2 < X < 12.5 + 7.2  = 5.3 < X < 19.7

Hence,

                   P ( 10.1 < X < 14.9 ) = 0.68

                   P ( 7.7 < X < 17.3 ) = 0.95

                   P ( 5.3 < X < 19.7 ) = 0.997

-  We need P ( X < 10.1 ) and P ( X < 5.3 ):

                  P ( X < 10.1 ) = [ 1 - P ( 10.1 < X < 14.9 ) ] / 2

                                      = [ 1 - 0.68 ] / 2

                                      = 0.16

                  P ( X < 5.3 ) = [ 1 - P ( 5.3 < X < 19.7 ) ] / 2

                                      = [ 1 - 0.997 ] / 2

                                      = 0.0015

Hence,

                 P ( 5.3 < X < 10.1 ) = P ( X < 10.1 ) - P ( X < 5.3 )

                                               = 0.16 - 0.0015

                                               = 0.1585

You might be interested in
Please answer! I’m desperate lol
WARRIOR [948]

Answer:

a

Step-by-step explanation:

just did this last period

8 0
2 years ago
Read 2 more answers
Peter drove 1.5 hours at an average speed of 40 mph. He then drove for another 40km.
egoroff_w [7]

Answer:

john drove for 3 hours at a rate of 50 miles per hour and for 2 hours at 60 miles per hour. 

Step-by-step explanation:

5 0
2 years ago
In a seventh grade class, the ratio of boys to girls is 3/9. there are 28 students in the class. Which equation show how to find
Shkiper50 [21]

Answer:

Hey there! ok , so your equation would be 28 / 3

Step-by-step explanation:

The equation would be 28/3 because there are 28 students in the class and the ratio of boys to girls is 3-9 meaning that it is 1/3, which is the same as dividing by 3, so the equation would be 28/3

5 0
2 years ago
Pls need help!!!! Giving brainliest to the person that gives me the right awnser
jeka57 [31]

Answer:

you only have the answer choices not the question itself

could you please attach the question so i can help?

6 0
2 years ago
jeremy has a job packing boxes in a warehouse. Jeremy must pack 20 boxes each day that he works to meet quota. He can pack 4 box
eimsori [14]

Answer:

Yes he has enough boxes to meet quota.

Step-by-step explanation:

4 x 8 = 32 This is over what he is requried to meet quota he is at quota.

7 0
3 years ago
Read 2 more answers
Other questions:
  • Fiona’s laptop computer weighs 2.5 kilograms. What is the weight of the computer in grams?
    7·2 answers
  • What’s 5/9 into a decimal and a percentage
    9·2 answers
  • Question 1
    12·1 answer
  • Suppose IQ scores are normally distributed with mean 100 and standard deviation 10. Which of the following is false?
    9·1 answer
  • Calcula la suma de los ángulos internos de los siguientes polígonos:
    11·1 answer
  • The cost of a week long vacation in a city has a mean of 1000 and a variance of 1200. The city imposes a tax which will raise al
    9·1 answer
  • Please help asap or im gonna fail...:(<br> 3/10=?/50
    6·1 answer
  • SLOPE<br>3. If you're given the points: <br>(4, 10) (8, 9) <br>What are your y1 and y2? ​
    8·2 answers
  • The average time for 100-meter race that Usain Bolt used is 9.6 seconds on average. He wants to test whether his speed has decre
    12·1 answer
  • PLEASE HELP FAST!! I CANNOT GET THIS WRONG!!!!
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!