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:

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:"
Let X the random variable that measures the number os trials until the first success, we know that X follows this distribution:
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:

Answer:
896.64
Step-by-step explanation:
To find the final price of the laptop you take the entire price of the laptop, 1, and add the sales tax amount of .0975 to get 1.0975. You multiply this amount with the listed price to get the final amount paid, the laptop plus sales tax. $816.98 x 1.0975 = 896.6356. This rounds to 896.64
Answer:
144.
Step-by-step explanation:
Sum of n terms = (n/2)[a1 + l] where a1 = first and l = last term.
There are ( 1 + 23) / 2 = 12 terms in this series.
So the sum = (12/2) [ 1 + 23]
= 6 * 24
= 144.
Answer:
communicative, you can remember this by saying (the rule for the communicative property, is as easy as can be, just remember a+b is the same as b+a )