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
Aleonysh [2.5K]
3 years ago
6

) The manager of a local Gap store estimates that on average the probability of a customer entering the store and will purchase

something is 20% (0.20). Assume a Binomial distribution. 1. What is the probability that 3 of the next 4 customers will make a purchase? 2. What is the probability that none of the next 4 customers will make a purchase
Mathematics
1 answer:
xeze [42]3 years ago
5 0

Answer: 1. 0.0256

2. 0.4096

Step-by-step explanation:

Binomial probability formula , to find the probability of getting x successes:

P(x)=^nC_xp^x(1-p)^{n-x} , where n= Total number of trials

p= Probability of getting success in each trial.

Let x be the number of customers will make purchase.

As per given , we have

p= 0.20

n= 4

1. The probability that 3 of the next 4 customers will make a purchase will be:-

P(x=3)=^4C_3(0.20)^3(1-0.20)^{4-3}

P(x=3)=(4)(0.20)^3(0.80)^{1}\ \ [\because\ ^nC_{n-1}=n]

P(x=3)=(4)(0.008)(0.80)=0.0256

Hence, the probability that 3 of the next 4 customers will make a purchase = 0.0256

2. The probability that none of the next 4 customers will make a purchase will be :

P(x=0)=^4C_0(0.20)^0(1-0.20)^{4-0}

P(x=0)=(1)(0.80)^{4}\ \ [\because\ ^nC_{0}=1]

P(x=0)=0.4096

Hence, the probability that none of the next 4 customers will make a purchase= 0.4096

You might be interested in
Find two negative consecutive odd integers whose product is 143
Likurg_2 [28]
The answer is -11 and -13
4 0
3 years ago
6. You can buy 3 apples at Walmart for $1.20. You can buy 5 of the same apples at Sprouts for
luda_lava [24]

Answer:

Walmart: 1.20 divided by 3= 0.4

Sprouts: 1.35 divided by 5= 0.27

Sprouts has a better deal

5 0
3 years ago
How can I solve this <br> 8x-(6x-1)=2
Katyanochek1 [597]

Answer:

8x-6x+1=2

2x+1=2

2x=2-1

2x=1

x=1/2

4 0
3 years ago
Please help me with these.
frozen [14]

18. The perimeter is simply √3 + √3 + √3 + √3 or 4√3cm, since the perimeter is just all sides added together. You could add the decimal numbers together using a calculator, which I'm not sure if you're supposed to do in your class.

The area is just width times length, so √3 • √3 = 3cm².

19. The perimeter is 2√5 + 2(9 - √5).

This can also be written as 2√5 + 18 - 2√5, which leaves you with a perimeter of 18ft.

The area would be √5 • (9 - √5), which leaves you with (9√5 - 5)ft².

20. The formula for the perimeter (or circumference) of a circle is π times the diameter of the circle. Using the radius of the circle, 1/π, the diameter is 2/π, so

π • 2/π = 2. The circumference of the circle is 2 inches.

The area of the circle is calculated with the equation πr², so

π(1/π)² = π • 1/(π²) = π/(π²) = π. The area is simply π in².

8 0
3 years ago
What is planning????​
koban [17]

<em><u>Planning is the process of thinking about the activities required to achieve a desired goal.</u></em>

5 0
2 years ago
Other questions:
  • Iliana's math grade increased from 65 to 86. Fiona's math grade increased from 70 to 80. What is the difference, rounded to the
    5·1 answer
  • Plz help asap thank you for helping
    8·1 answer
  • What is the volume of the cylinder. 12r 15h
    13·2 answers
  • The minimum level of inventory needed to meet customer demand is called the
    9·1 answer
  • Find the measure of the indicated angle.<br><br>Need help
    8·1 answer
  • Help Which is the answer<br><br>102°<br><br>152°<br><br>62°<br><br>28°​
    5·1 answer
  • Does the point (2, 5) satisfy the equation y = 5x − 5?
    14·1 answer
  • Helppp what is 0.092x10^3
    11·1 answer
  • PLEASE I NEED HELP URGENT I Will MARKE YOU BRAIN LIST​
    6·1 answer
  • select the procedure that can be used to show the converse of the pythagorean theorem using side lenghths chosen from 6cm, 9cm,
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!