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
Luba_88 [7]
2 years ago
7

Isle Royale, an island in Lake Superior, has provided an important study site of wolves and their prey. Of special interest is t

he study of the number of moose killed by wolves. In the period from 1958 to 1974, there were 296 moose deaths identified as wolf kills. The age distribution of the kills is as follows.Age of Moose in YearsNumber Killed by WolvesCalf (0.5 yr)1-56-1011-1516-201074779603(a) For each age group, compute the probability that a moose in that age group is killed by a wolf. (Round your answers to three decimal places.)0.5 1-5 6-10 11-15 16-20 (b) Consider all ages in a class equal to the class midpoint. Find the expected age of a moose killed by a wolf and the standard deviation of the ages. (Round your answers to two decimal places.)μ= σ=
Mathematics
1 answer:
STatiana [176]2 years ago
7 0

Answer:

<em>Part a) Probability that a moose in that age group is killed by a wolf</em>

  • P  (0.5 year) = 0.361
  • P (1 - 5) = 0.159
  • P (6 - 10) = 0.267
  • P (11 - 15) = 0.203
  • P (16 - 20) = 0.010

<em>Part b)</em>

  • <em>Expected age of a moose killed by a wold</em>

         μ = 5.61 years

  • <em>Stantard deviation of the ages</em>

       σ = 4.97 years

Explanation:

1) Start by arranging the table to interpret the information:

<u>Age of Moose in years          Number killed by woolves</u>

Calf (0.5)                                                 107

1 - 5                                                           47

6 - 10                                                         79

11 - 15                                                        60

16 - 20                                                        3

You can  now verify the total number of moose deaths identified as wolf kills: 107 + 47 + 79 + 60 + 3 = 296, such as stated in the first part of the question.

2) <u>First question: </u>a) For each age, group, compute the probability that a moos in that age group is killed by a wolf.

i) Formula:

Probability = number of positive outcomes / total number of events.

ii) Probability that a moose in an age group is killed by a wolf = number of moose killed by a wolf in that age group / total number of moose deaths identified as wolf kills.

iii) P  (0.5 year) = 107 / 296 = 0.361

iv) P (1 - 5) = 47 / 296 = 0.159

v) P (6 - 10) = 79 / 296 = 0.267

vi) P (11 - 15) = 60 / 296 = 0.203

vii) P (16 - 20) = 3 / 296 = 0.010

3) <u>Second question:</u> b) Consider all ages in a class equal to the class midpoint. Find the expected age of a moose killed by a wolf and the standard deviation of the ages.

i) Class       midpoint

   0.5               0.5

   1 - 5           (1 + 5) / 2 = 3

   6 - 10         (6 + 10) / 2 = 8

   11 - 15         (11 + 15) / 2 = 13

   16 - 20       (16 + 20) = 18

ii) Expected age of a moose killed by a wolf = mean of the distribution = μ

μ = Sum of the products of each probability times its age (mid point)

μ = 0.5 ( 0.361) + 3 ( 0.159) + 8 ( 0.267) + 13 ( 0.203) + 18 ( 0.010) = 5.61 years

μ = 5.61 years ← answer

iii) Stantard deviation of the ages = σ

σ = square root of the variace

variance = s = sum of the products of the squares of the differences between the mean and the class midpoint time the probability.

s =  (0.5 - 5.61)² (0.361) + (3 - 5.61)² ( 0.159) + (8  - 5.61)² ( 0.267) + (13 - 5.61)² ( 0.203) + (18 - 5.61)² ( 0.010) = 24.65

σ = √ (24.65) = 4.97 years ← answer

You might be interested in
A coyote had 10 pups in her third litter. It was twice as many as in her second litter, her second litter, and her second litter
Yuki888 [10]
A coyote had 10 pups in her third litter. (10)
It was twice as many as in her second litter,( 2( second litter) = third litter

her second litter had 3 more pups than her first.( first litter +3)=2nd litter

Find the number of pups in her litter

6 0
3 years ago
Y = -2x - 1<br> What is the slip of this
Sholpan [36]
If you mean the slope is m=-2
3 0
3 years ago
suppose Tinsel Town Videos lowers the price of its movie club membership by 10 percent and as a result, CineArts Videos experien
alexandr402 [8]

Answer: The value of cross price elasticity is 1.6.

Step-by-step explanation:

Since we have given that

Percent change in price = 10%

Percent change in quantity = 16%

So, we need to find the cross price elasticity between the two movie club memberships.

As we know the formula for cross price elasticity :

\dfrac{\%\text{change in demand}}{\%\text{change in price}}\\\\=\dfrac{16}{10}\\\\=1.6

Hence, the value of cross price elasticity is 1.6.

7 0
3 years ago
The median of a set of consecutive odd integers is 138. If the greatest integer in the set is 145, what is the least integer in
garri49 [273]

Answer:

131

Step-by-step explanation:

Given that:

Median of a consecutive odd integers = 138

Greatest integer In dataset = 145

Least integer in dataset =

Since the integers are consecutive ;

Number of integers to greatest integer value : Greatest integer - median value = 145 - 138 = 7

Hence, 7 integers before the median value should give us the least integer value ;

138 - 7 = 131

CHECK:

131,132,133,134,135,136,137,138,139,140,141,142,143,144,145

Median = (n+1)/2 th term

Median = (15+1)/2 = 8th term = 138

Highest = 145

Least = 131

7 0
3 years ago
FIND THE VOLUME
galben [10]

1. The figure is a prism: V = lwh = (12.1)(5.3)(4.2) = 269.3 cu. cm.


2. The figure is also a prism but the base is triangular: V = 1/2*b*h*l = 1/2*(13)*(sqrt(3)/2*13)*24 = 1756.3 cu. yd.


I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

8 0
2 years ago
Other questions:
  • ⚠100 POINTS!!!!⚠ HURRYYY PALEASEE
    9·2 answers
  • 2X + 5 &gt; 9 and X- 2 &lt; 3
    11·1 answer
  • Find the sum. -4 + (-2) =<br> -6<br> -2<br> 2<br> 6<br> HELP PLEASEEE
    10·2 answers
  • Point slope form equations can be converted into slope intercept form. Distinguish whether the following
    13·1 answer
  • What is the slope of the line shown​
    15·2 answers
  • The length of a rectangle is 6 inches longer than it is wide. If the area is 55 square inches, what are the dimensions of the re
    13·1 answer
  • WILL GIVE BRAINLIEST.
    10·1 answer
  • Divide 3584 by 28 and please explain
    10·1 answer
  • (19−7)^( (2) ) −8*3+4*3−5
    15·1 answer
  • Joyce karen and paula are starters on their school basketball team how many different groups of three can be chosen for a newspa
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!