Answer:
(a) The expected number of should a salesperson expect until she finds a customer that makes a purchase is 0.9231.
(b) The probability that a salesperson helps 3 customers until she finds the first person to make a purchase is 0.058.
Step-by-step explanation:
Let<em> </em>the random variable <em>X</em> be defined as the number of customers the salesperson assists before a customer makes a purchase.
The probability that a customer makes a purchase is, <em>p</em> = 0.52.
The random variable <em>X</em> follows a Geometric distribution since it describes the distribution of the number of trials before the first success.
The probability mass function of <em>X</em> is:
The expected value of a Geometric distribution is:
(a)
Compute the expected number of should a salesperson expect until she finds a customer that makes a purchase as follows:
This, the expected number of should a salesperson expect until she finds a customer that makes a purchase is 0.9231.
(b)
Compute the probability that a salesperson helps 3 customers until she finds the first person to make a purchase as follows:
Thus, the probability that a salesperson helps 3 customers until she finds the first person to make a purchase is 0.058.
Answer:
we are given
total number of students =23
the additional number of cookies =x
you have baked 12 cookies
so, total number of cookies =x+12
the additional number x of cookies you need to bake in order to have 2 cookies for each student
so, we can find total number of cookies
total number of cookies = ( total number of students)*(cookies each student)
so, we can plug values
total number of cookies = ( 23)*(2)
total number of cookies = 23*2
so, we can set them equal
x+12=23*2x+12=23∗2
we can divide both sides by 23
\frac{x+12}{23} =2
23
x+12
=2
so, the equation is :
\frac{x+12}{23} =2
23
x+12
=2
now, we can solve for x
Subtract both sides by 12
x+12-12=46-12x+12−12=46−12
x=34x=34
so,
the additional number of cookies is 34.......... it
In geometry, a polygon is called a regular polygon whose sides and interior angles are equal to each other.
The regular polygons of three and four sides are called equilateral triangle and square, respectively. For polygons of more sides, the regular term is added (regular pentagon, regular hexagon, regular octagon, etc).
Answer:
A. Yes, because all regular polygons fit this definition.
Answer:
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Step-by-step explanation: