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
Rzqust [24]
3 years ago
12

Let X be the total number of individuals of an endangered lizard species that are observed in a region on a given day. This obse

rved number is assumed to be distributed according to a Poisson distribution with a mean of 3 lizards. The endangered lizards can belong to either of two sub-species: graham or opalinus. Let Y be the number of graham lizards observed during this study (note that the total observed number of any lizard is denoted by X, so the observed number of opalinus lizards is given by X − Y). It is known that graham lizards are by far the most common. In particular, the conditional distribution of the number of graham lizards (Y) given the total number of all lizards (X) is Binomial with parameters n = X and p = 0.8.
(a) Write down the joint probability mass function of (X, Y). As always, remember to state the range of x and y. Then compute the joint probability mass function when (x, y) = (2,1). [Hint: recall the formula for a conditional probability and note that we know the conditional probability and one of the marginal distributions].

(b) Calculate the mean and variance of Y. [Hint: use the law of iterated expectations and variances].

(c) Write down the formula for the joint (cumulative) distribution function of (X, Y) using your result in part (a). As always, remember to state the relevant ranges of x and y. Then compute the joint distribution function when x, y = (2,1). [Hint: when writing down the joint distribution function, recall that the value of Y must always be less than or equal to the value of X. If you are stuck on the second part, try making a table of the joint pmf of (X, Y) up to the values x, y = (2,1)].

(d) Write down the formula for the marginal probability mass function of Y. As always, remember to state the range of y.

(e) Note that Y is less than X with zero probability so that, for example, P(X = 0, Y = 1) = 0. Use this and the fact that P (Y=1) ≥ P(X=2, Y=1) to determine whether X and Y are independent. Carefully show your argument.
Mathematics
1 answer:
kenny6666 [7]3 years ago
8 0

Answer:its c

Step-by-step explanation:

that is how i would do it.

You might be interested in
Diamonds have a higher monetary value than water because:
Ganezh [65]
Diamonds are much less abundant (common) compared to water
7 0
3 years ago
Calculate the average rate of change for the given graph from x = 3 to x = 5 and select the correct answer below. parabolic func
storchak [24]

Answer:

0

Step-by-step explanation:

The question lacks the graph to be able to solve it, I was doing a little research and I could find the graph which I will attach:

Already with the figure we can solve the question.

We have that the average exchange rate in this case would only take the normal slope between those 2 lines

. Furthermore we know that the slope (m) is given by:

m = (y2-y1) / (x2 - x1)

From the graph we have to:

y2 = 0

y1 = 0

x2 = 5

x1 = 3

we replace:

m = (0-0) / (5 - 3)

m = 0

Therefore the average rate is 0.

5 0
3 years ago
Read 2 more answers
(12) - (23 +131) =<br> Express your answer in the form (a + bi),
4vir4ik [10]

Answer:

-142

Step-by-step explanation:

First solve parenthesis,

(12) - (23 +131) =

(12) -154

Finally subtract,

12-154

= -142

5 0
2 years ago
In a group of 60 students, 18 students take algebra i, 20 students take algebra ii, and 10 students take both subjects. how many
nadya68 [22]

Answer:

  32

Step-by-step explanation:

The number that take algebra i includes those who take both subjects, as does the number taking algebra ii. Then the number taking algebra i alone is ...

   18 -10 = 8 . . . . . take only algebra i

So the number taking any kind of algebra is ...

  20 + 8 = 28

and the number not taking either subject is ...

  60 -28 = 32 . . . not taking either subject

8 0
3 years ago
You are the CEO of a big company. You are paid an annual salary, plus a bonus of the company's profits over $5,000,000,000. Cons
ArbitrLikvidat [17]

Answer:

(g ⚬ f)(x)

Step-by-step explanation:

(g ⚬ f)(x)

6 0
3 years ago
Other questions:
  • Find the length of the segment indicated. Round your answer to the nearest tenth if necessary.
    13·1 answer
  • NEED HELP PLEASE!!!!!! Jeremy surveyed students in his class about their spending habits in the school cafeteria. He used the da
    14·2 answers
  • Alex has 7 pizzas he wants to share equally with 10 friends. How much pizza will each friend receive?
    13·2 answers
  • The population of a city is 2,500. If the number of males is 240 more than the number of females, how many males and females are
    12·1 answer
  • Check all solutions to the equation. If there are no solutions, check "None."<br> x=-81
    15·2 answers
  • The measure of central angle XYZ is StartFraction 3 pi Over 4 EndFraction radians. What is the area of the shaded sector? 32Pi u
    5·2 answers
  • Point P is located at (5, –4). Point P is moved 3 units up and 4 units left. Where is Point P located now?
    5·2 answers
  • I need help with 2-51. PLEASEE AND TYYY
    8·1 answer
  • Solve the equation.<br> -5r-1=7r+5
    8·2 answers
  • Can someone please help? its urgent!!!<br><br><br> y=2x+1 for x = -2 , -1 , 0 , 1 , and 2
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!