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
natita [175]
3 years ago
8

Gary Oak is on a mission to complete his Pokedex before Ash Ketchum. To this end, he startssearching the tall grass for Pokemon.

Assume that there aremPokemon in total and that Garyhas seen none of them at the start. Assume also, that all of themPokemon are equally likely toappear in the tall grass and each appearance is independent of the previous appearances. LetKbe the number of encounters required for Gary to fill his Pokedex (A filled Pokedex means that hehas seen allmPokemon atleast once). Find the expectation and variance of K.Hint: Find the expected number of encounters to find a new Pokemon having already seenkPokemon and use this to find the required quantities.
Mathematics
1 answer:
bazaltina [42]3 years ago
6 0

Answer:

Variance Σ i=1 (1 - Pi) /Pi^2

Expected value= π(1/1 + 1/2 .......... 1/n) = π.Hn

Step-by-step explanation:

From the information given, we can get

E(T) = E(t1) + E(t2) ......... +E(tn)

1/P1 + 1/P2.......... 1/Pn

-π/r + π/ r-1 +........... π/1

π(1/1 + 1/2 .......... 1/n)

To find the variance,

Variance= var (x1 + x2......... +xr)

E i=1 var (Xi)

Where,

x1, x2, x3 ........... are all independent of each other.

In case of xi : var (xi) = E(xi^2) - E(xi^2)

Probability of the ith term of coupon that would be observed

Pi = (n - i - 1)/n

Therefore,

i-1 coupons out of a total of n coupons.

To calculate Exi, probability Pi

The expected number of coupons required should be = 1

In probability, 1 - Pi expected number of coupons required E (Xi +1)

E(Xi) = Pi + (1- Pi) E(xi + 1)

E(Xi) = 1/Pi

Due to the above,

E(Xi)^2= Pi + (1- Pi) E(xi + 1)^2

E(Xi)^2= Pi + (1- Pi) E(xi^2 + 1 + 2xi)

E(Xi)^2= 2/Pi^2 - 1/Pi

Var (Xi) = 2/Pi^2 - 1/Pi - 1/Pi^2

= (1 - Pi) /Pi^2

Variance Σ i=1 (1 - Pi) /Pi^2

You might be interested in
Show your work and explain in a full sentence how 4 2/6 is equivalent to 3 8/6
Naddik [55]

Answer:

Multiply the whole numbers by their denominators and then add the product to their numerators. You will notice that they equal the same improper fraction.

Step-by-step explanation:

4 * 6 = 24.

24 + 2 = 26.

4 2/6 as an improper fraction equals 26/6.

3 * 6 = 18.

18 + 8 = 26.

3 8/6 as in improper fraction equals 26/6 as well.

So that is how they are equivalent.

4 0
3 years ago
Read 2 more answers
This recipe makes enough pastry for 10 pasties.
forsale [732]

Answer:

she can only make 25 pastries

Step-by-step explanation:

because 200 fits in 500 only 2.5 and if 1 pastry = 10 pastries then it should be 25 despise the flour that lets us do 30 pastries but we don't have enough butter and there's infinite water soo ye.

You're welcome

6 0
2 years ago
Use the zero product property to find the solutions to the equation x^2-15x-100=0
Helen [10]

Answer:

It’s c

Step-by-step explanation:

5 0
2 years ago
What expression represents the area???
galben [10]

Answer:

B.

Step-by-step explanation:

Area is width times height.

(5p-7)(3p+4)

Multiply using FOIL method

(First, outer, inner, last)

(5p*3p) + (5p*4) + (-7*3p) + (-7*4) =

15p² + 20p -21p - 28 =

15p²-p -28 =

B is the closest one. They might have made a typo.

6 0
3 years ago
What is .04 as a mixed number
statuscvo [17]
<span>Step 1: 0.4 = 4⁄10</span> 
<span>Step 2: Simplify 4⁄10 = 2⁄5</span> 

<span>
</span>
3 0
3 years ago
Other questions:
  • what is the measure of &lt; A? sorry that the pic is backwards. and btw the C aangle is 40 degrees.
    9·1 answer
  • What is sin in geometry
    13·1 answer
  • PQ has endpoints at PH(7, -11) and Q(-5,-8). Find the slope of PQ
    6·1 answer
  • How many times do 567 go into 5
    14·2 answers
  • PLEASE HELP I ONLY NEED THIS TO GET A 100 IN HOMEWORK!!! HELP PLEASE!
    6·1 answer
  • Change 6 1/8 into an improper fraction.
    9·2 answers
  • Does 7/13 have a lowest form? if so what is the lowest form of 7/13.
    5·1 answer
  • What is the solution for x in the equation?​
    6·1 answer
  • Alba worked for 6 hr and 45 min at $10.90 per hour. What numbers could she use to estimate how much money she earned? Estimate t
    8·2 answers
  • Connie has to solve the following problem.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!