Respuesta :
Answer:
For this case the probability of getting a head is p=0.61
And the experiment is "The coin is tossed until the first time that a head turns up"
And we define the variable T="The record the number of tosses/trials up to and including the first head"
So then the best distribution is the Geometric distribution given by:
[tex] T \sim Geo (1-p=1-0.61)[/tex]
Step-by-step explanation:
Previous concepts
The geometric distribution represents "the number of failures before you get a success in a series of Bernoulli trials. This discrete probability distribution is represented by the probability density function:"
[tex]P(X=x)=(1-p)^{x-1} p[/tex]
Let X the random variable that measures the number os trials until the first success, we know that X follows this distribution:
[tex]X\sim Geo (1-p)[/tex]
Solution to the problem
For this case the probability of getting a head is p=0.61
And the experiment is "The coin is tossed until the first time that a head turns up"
And we define the variable T="The record the number of tosses/trials up to and including the first head"
So then the best distribution is the Geometric distribution given by:
[tex] T \sim Geo (1-p=1-0.61)[/tex]
