One of the zeros of the quadratic equation x^2=9 is 3. Find the other zero. x =

g A fair coin is tossed 20 times. The number of heads observed is the count X of successes. Give the distribution of X . Choose

Nuetrik [128]

Answer:

We assume that we have a fair coin that is $p(Head)=p(Tails)=0.5$

For this case we define the random variable X as "number of heads observed in 20 times". The distribution for X is given by:

$X \sim Binom(n=20, p=0.5)$

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:

$nCx=\frac{n!}{(n-x)! x!}$

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:

$nCx=\frac{n!}{(n-x)! x!}$

Solution to the problem

We assume that we have a fair coin that is $p(Head)=p(Tails)=0.5$

For this case we define the random variable X as "number of heads observed in 20 times". The distribution for X is given by:

$X \sim Binom(n=20, p=0.5)$

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:

$nCx=\frac{n!}{(n-x)! x!}$

3 0

3 years ago

Cost of a Shirt increased from $10 to $30.What is the percent change?

Alexeev081 [22]

200% bc it went up 2x as much as it cost before

4 0

3 years ago

Read 2 more answers

Which two expressions are equivalent to 20 + 48 ?

monitta

Answer:

A and D

Step-by-step explanation:

A.

2(10)=20

2(24)=48

20+48

D.

4(5)=20

4(12)=48

20+48

i hope this helps!

3 0

2 years ago

Which number would make this number sentence true?

nlexa [21]

Answer: 15

Step-by-step explanation: Take 12 and change the -3 to a regular 3.

(12 + 3 = 15.)

Whichever number in the question that’s bigger determines what integer it will have.

4 0

3 years ago

Read 2 more answers

How many solution does an equation have when you isolate the variable and it equals a constant

RoseWind [281]

Answer:

Step-by-step explanation:

it depends. if (for example) y=x2 then there are an infinite amount of answers. if there is an equation like: If (variable X)= (variable Y) + 5 and if X=5, what is Y? then there is only one answer. check an algebra book, it can give you a more detailed answer.

5 0

3 years ago