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lara31 [8.8K]
2 years ago
11

A rectangular room is 9 m long and 6 m broad. Find the number of

Mathematics
1 answer:
slava [35]2 years ago
8 0

Answer:

880

Step-by-step explanation:

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For each given p, let ???? have a binomial distribution with parameters p and ????. Suppose that ???? is itself binomially distr
pshichka [43]

Answer:

See the proof below.

Step-by-step explanation:

Assuming this complete question: "For each given p, let Z have a binomial distribution with parameters p and N. Suppose that N is itself binomially distributed with parameters q and M. Formulate Z as a random sum and show that Z has a binomial distribution with parameters pq and M."

Solution to the problem

For this case we can assume that we have N independent variables X_i with the following distribution:

X_i Bin (1,p) = Be(p) bernoulli on this case with probability of success p, and all the N variables are independent distributed. We can define the random variable Z like this:

Z = \sum_{i=1}^N X_i

From the info given we know that N \sim Bin (M,q)

We need to proof that Z \sim Bin (M, pq) by the definition of binomial random variable then we need to show that:

E(Z) = Mpq

Var (Z) = Mpq(1-pq)

The deduction is based on the definition of independent random variables, we can do this:

E(Z) = E(N) E(X) = Mq (p)= Mpq

And for the variance of Z we can do this:

Var(Z)_ = E(N) Var(X) + Var (N) [E(X)]^2

Var(Z) =Mpq [p(1-p)] + Mq(1-q) p^2

And if we take common factor Mpq we got:

Var(Z) =Mpq [(1-p) + (1-q)p]= Mpq[1-p +p-pq]= Mpq[1-pq]

And as we can see then we can conclude that   Z \sim Bin (M, pq)

8 0
3 years ago
Given the Quadratic, determine the value of the discriminant.<br> 2x2 – 3x – 20 = 0
Andrews [41]
2x2-3x-20=0
4-3x-20=0
2-20=-16
-3x-16=0
-3x=16
x= -5.33333
I think i did it right. i hope this helps.
4 0
3 years ago
What is the value of 7/9 x 2/3 ?
Elan Coil [88]

Answer:

42/81 or 0.5185185

Step-by-step explanation:

7/9 × 2/3

The hcf of 9 and 3 is 9

7/9 × 2/3

2/3 × 3= 6/9

7/9× 6/9 = 42/81 or 0.5185185

5 0
3 years ago
Read 2 more answers
PLEASE HELP SOMEONE I DONT KNOW HOW THIS WORKS
Brrunno [24]

Answer:

768

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
5/12+(BLANK)=1/2 HEEEEEEEEEELLLLLLLLPPPP MEEEEEEEEEE
Flauer [41]

Answer:1/12


Step-by-step explanation:

5/12 + 1/12 = 6/12. When u simplify it it equals 1/2


8 0
2 years ago
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