1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
katrin [286]
3 years ago
6

You are at a stall at a fair where you have to throw a ball at a target. There are two versions of the game. In the first

Mathematics
1 answer:
Tomtit [17]3 years ago
4 0

Answer:

P(X=0)=(3C0)(0.1)^0 (1-0.1)^{3-0}=0.729

And the probability of loss with the first wersion is 0.729

P(Y=0)=(5C0)(0.05)^0 (1-0.05)^{5-0}=0.774

And the probability of loss with the first wersion is 0.774

As we can see the best alternative is the first version since the probability of loss is lower than the probability of loss on version 2.

Step-by-step explanation:

Previous concepts

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".

Solution to the problem

Alternative 1

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=3, p=0.1)

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!}

We can find the probability of loss like this P(X=0) and if we find this probability we got this:

P(X=0)=(3C0)(0.1)^0 (1-0.1)^{3-0}=0.729

And the probability of loss with the first wersion is 0.729

Alternative 2

Let Y the random variable of interest, on this case we now that:

Y \sim Binom(n=5, p=0.05)

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

P(Y)=(nCy)(p)^y (1-p)^{n-y}

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

nCy=\frac{n!}{(n-y)! y!}

We can find the probability of loss like this P(Y=0) and if we find this probability we got this:

P(Y=0)=(5C0)(0.05)^0 (1-0.05)^{5-0}=0.774

And the probability of loss with the first wersion is 0.774

As we can see the best alternative is the first version since the probability of loss is lower than the probability of loss on version 2.

You might be interested in
How do I recognize geometric/arithmetic sequences used in real world situations?
olchik [2.2K]

Ways to be used:

  • Uniform increase in the speed at regular intervals.
  • Speed of an aircraft, finding the sum of n terms of natural numbers.
  • increase or decrease in the costs of goods.
  • fare of taxi,
  • finding multiples of numbers within a range.
  • sales and production are some more uses of Arithmetic Sequence.

6 0
3 years ago
Read 2 more answers
Please help me!!!!!!!!!
Serga [27]

Answer:

Step-by-step explanation:

I assume we are finding the slope of the line.  It is positive since it runs from the lower left to the upper right, so forget B and D.  Since slope is defined as rise over run, in order to get from one point on the line that goes through right where the grids meet to another point that goes through right where the grids meet we count up 1 unit and then to the right 6 units.  This is a slope of 1/6.

5 0
3 years ago
The diagram shows a track composed with a semicircle on each end. The area of the rectangle is 8,400 square meters. What is the
MrRa [10]

Answer:

468.4 meters

Step-by-step explanation:

Find the width of the rectangle.

The area of a rectangle is A=length*width. Substitute the values of length and area and solve for width.

A=length*width

8,400=140*width

60= width

Use the width of the rectangle to find the circumference of the semicircles. Since each semicircle is half of a​ circle, the perimeter of the two semicircles is equal to the circumference of one circle.

The circumference of a circle is equal to pi​d, where d is the diameter. The diameter of the semicircle is the same as  the width of the rectangle.

​So, the diameter is 60 meters. Substitute the diameter into the formula for the circumference and simplify using 3.14 for pi.

≈188.4

(2 times 140)+ 188.4

​So, the perimeter of the track is 468.4 meters.

7 0
3 years ago
Identify the area of segment MNO to the nearest hundredth. HELP PLEASE!!
insens350 [35]

The area of a right triangle with side lengths 7 and 7 is \frac{bh}{2} = \frac{7*7}{2} = \frac{49}{2} = 24.5

4 0
3 years ago
Fernando is 6 feet tall.if 1 inch is approximately 2.54 cm,what is fernandos height in cm.
otez555 [7]

Answer:

182.88cm

Step-by-step explanation:

i looked it up

8 0
3 years ago
Read 2 more answers
Other questions:
  • What is the area and perimeter
    6·1 answer
  • List -1,1/4 and 1 2/3 in order from greatest to least
    10·1 answer
  • What is the following sum? 4 sqrt 5 + 2 sqrt 5
    10·2 answers
  • (2.5), (0,3),(2,5)<br><br> Help I’ve been stuck at this for so long
    13·1 answer
  • I do not understand
    11·2 answers
  • Evaluate the expression (735 + 688) + 240
    10·2 answers
  • Beginning with the equation x= -90, write the new equation produced by dividing both sides by 10
    11·1 answer
  • 1.242:23 <br><br><br><br> Show ur work
    11·2 answers
  • 33×33-33+33÷0 solve this​
    6·2 answers
  • 2000 x 12467<br> Please help me.
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!