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
dangina [55]
2 years ago
12

Let’s fix some n e {1,2,3,...}. A biased coin with probability of head p is tossed n times, and the number of heads, N1, is coun

ted. The coin is then tossed Ni more times, and the number of heads, N2, is counted. Find the expected total number of heads, E[Ni + N2], generated by this process. The answer should depend on n and p only.
Mathematics
1 answer:
Yuki888 [10]2 years ago
7 0

Answer:

The answer is "np(1+p)".

Step-by-step explanation:

N_1 = Number of n tossed heads  

According to N_1, Y = amount of N_1 tossing heads

So, N_1~ Bin(n, p) and N_2 | N_1 ~ Bin(N_1, p)

E(N_1+N_2) & = E\Big[N_1+N_2\vert N_1\Big]\\ &

                   = E(N_1)+E\Big[N_2\vert N_1\Big]\\\\ & = E(N_1) + E(N_1\,p)\\\\ & = np + np.p \\\\ =np+np^2\\\\ =np(1+p)

You might be interested in
Select the correct answer. Solve the equation using the method of completing the square. 2r2 + 16r - 8 = 0​
adoni [48]

Answer:

r=-4+2\sqrt{5}, r=-4-2\sqrt{5}

8 0
3 years ago
Read 2 more answers
, list the first five terms of each sequence.<br> f(n + 1) = −2f(n) + 8 and f(1) = 1 for n ≥ 1
svet-max [94.6K]

Answer: 1, 7, 1, 7, 1.

Step-by-step explanation:

The given function :  f(n+1)=-2f(n)+8 and  f(1) = 1 for n ≥ 1

We put value of n=1,2,3,4 , we get

For n=1  , f(2)=f(1+1)=-2f(1)+8=-1(1)+8=-1+8=7

For n=2  , f(3)=f(2+1)=-2f(2)+8=-1(7)+8=1

For n=3  , f(4)=f(3+1)=-2f(3)+8=-1(1)+8=7

For n=4  , f(5)=f(4+1)=-2f(4)+8=-1(7)+8=1

Hence, the  first five terms of the given sequence are 1, 7, 1, 7, 1.

7 0
3 years ago
Heeeeelppp please, :) please
lara [203]

Answer:

7/6

Step-by-step explanation:

In order to find slope when you have two ordered pairs, you use this equation: (y2-y1)/(x2-x1)

In this case, when you plug them in, you get (49-7)/(42-6), which is 42/36, which is 7/6.

Hope this helped :)

4 0
3 years ago
5/10+13/100 <br> what is the value of the expression
cluponka [151]

Answer:

63/100

Step-by-step explanation:

6 0
2 years ago
Everyone needs to get off of social and help us -_-
JulsSmile [24]
(x+2)(x+8)(x+k)=x^3+9x^2+6x-16

(x^2+10x+16)(x+k)=x^3+9x^2+6x-16

x^3+10x^2+16x+kx^2+10kx+16k=x^3+9x^2+6x-16

kx^2+10kx+16k=-x^2-10x-16

k(x^2+10x+16)=-x^2-10x-16

k=(-x^2-10x-16)/(x^2+10x+16)

k=-1

so the width is (x-1)




7 0
3 years ago
Other questions:
  • What is the width rounded to the nearest whole number? (width = 13.62 ft)
    12·1 answer
  • Each car on a comuter train can seat 114 pessengers. If the train has 7 cars,how many pessengers can the train Seat
    10·2 answers
  • Sally’s father baked 8 cookies. Sally and 4 friends (5 people total) decide to share the cookies equally. How much will each per
    15·2 answers
  • A box has dimensions of 4.1 inches, 5.9 inches, and 7.2 inches. Estimate the volume of the solid.
    6·1 answer
  • 21 = 3x what does equally
    13·2 answers
  • How do I solve this?
    15·1 answer
  • ASAP easy for anyone part 4
    14·1 answer
  • Here is a circle, centre O, and the tangent to the circle at the point (8,15)
    13·2 answers
  • Charles rolled a number cube labeled from 1 to 6. What is the probability that he will roll a number greater than 2? in a fracti
    12·2 answers
  • 3 tacos cost $18. Complete the table to show the cost of 4,5 and 6 tacos at the same rate. Create and fill in the table using th
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!