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IceJOKER [234]
3 years ago
14

Find ? in each case.

Mathematics
1 answer:
user100 [1]3 years ago
6 0

Answer:

a) For this case we have that n = 30 and p =1/6

X \sim Binom(n=30, p=1/6)

b)  For this case we have that n = 10 and p =1/100

X \sim Binom(n=10, p=1/100)

c)  For this case we have that n = 20 and p =0.3

X \sim Binom(n=20, p=0.3)      

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

The probability mass function for the Binomial distribution is given as:  

P(X)=(nCx)(p)^x (1-p)^{n-x}  

Where (nCx) means combinatory and it's given by this formula:  

nCx=\frac{n!}{(n-x)! x!}  

Assuming the following question : "For each of the following binomial random variables specify n and p"  

Solution to the problem

a. A fair die is rolled 30 times. X = number of times a 6 is rolled.

For this case we have that n = 30 and p =1/6

X \sim Binom(n=30, p=1/6)

b. A company puts a game card in each box of cereal and 1/100 of them are winners. You buy ten boxes of cereal, and X = number of times you win.

For this case we have that n = 10 and p =1/100

X \sim Binom(n=10, p=1/100)

c. Jack likes to play computer solitaire and wins about 30% of the time. X = number of games he wins out of his next 20 games.

For this case we have that n = 20 and p =0.3

X \sim Binom(n=20, p=0.3)

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PLZ I NEED THIS ASAP!! ILL GIVE YOU BRAINLIST!!!
Aloiza [94]

Answer:

Yes

Step-by-step explanation:

I feel like its yes because x and y share the numbers 1-4

4 0
3 years ago
Read 2 more answers
Question 5<br> Find the sum of the following geometric series.<br> 8+1.6+0.32+0.064 + ...
boyakko [2]

good morning,

Answer:

10×(1-0.2ⁿ)

Step-by-step explanation:

1.6/8=0.2

0.32/1.6=0.2

0.064/0.32=0.2

let S represent the sum of n term then S=8×[(1-0.2ⁿ)/(1-0.2)] = 10×(1-0.2ⁿ).

:)

5 0
3 years ago
Simplify the radical
mamaluj [8]

Answer:

9d^3

Step-by-step explanation:

~~~\sqrt{81 d^6}\\\\=\left(81 d^6 \right)^{\tfrac 12}\\\\=\left(81\right)^{\tfrac 12} \cdot \left(d^6 \right)^{\tfrac 12}\\\\=\left(9^2 \right)^{\tfrac 12} \cdot d^{\tfrac 62}\\\\=9d^3

4 0
2 years ago
Find the constant $a$ such that\[(x^2 - 3x + 4)(2x^2 +ax + 7) = 2x^4 -11x^3 +30x^2 -41x +28.\]
Colt1911 [192]

The value of constant a is -5

Further explanation:

We will use the comparison of co-efficient method for finding the value of a

So,

Given

(x^2 - 3x + 4)(2x^2 +ax + 7)\\= x^2((2x^2 +ax + 7)-3x((2x^2 +ax + 7)+4(2x^2 +ax + 7)\\= 2x^4+ax^3+7x^2-6x^3-3ax^2-21x+8x^2+4ax+28\\Combining\ alike\ terms\\=2x^4+ax^3-6x^3+7x^2-3ax^2+8x^2-21x+4ax+28\\= 2x^4 +(a-6)x^3+(15-3a)x^2-(21-4a)x+28\\

As it is given that

(x^2 - 3x + 4)(2x^2 +ax + 7) = 2x^4 -11x^3 +30x^2 -41x +28

In this case, co-efficient of variables will be equal, so we can compare the coefficients of x^3, x^2 or x

Comparing coefficient of x^3

a-6 = -11\\a = -11+6\\a = -5

So the value of constant a is -5

Keywords: Polynomials, factorization

Learn more about factorization at:

  • brainly.com/question/1414350
  • brainly.com/question/1430645

#LearnwithBrainly

4 0
3 years ago
A travel agent is booking a trip to England, Scotland, Ireland, and France for a group of senior citizens. The agent sent survey
elixir [45]

Answer: 1

Scotland

Step-by-step explanation:

In the first vote, points are:

France = 15

England = 12 + 16 = 28

Ireland = 19

2nd vote

England = 15

Scotland = 12 + 19 = 31

Ireland = 16

3rd vote

Scotland = 15 + 16 = 31

Ireland = 12

England = 19

4th vote

Ireland = 15

France = 12 + 16 + 19 = 47

At the end of everything

England = 19 + 15 + 28 = 62

France = 15 + 47 = 62

Scotland = 31 + 31 = 62

Ireland = 19 + 16 + 12 + 15 = 62

To find the Condorcet winner, the number of votes for runner over opponent (runner,opponent) is compared with the number of votes for opponent over runner (opponent,runner)  

Only Scotland has the highest (31) points twice.

6 0
3 years ago
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