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
Fiesta28 [93]
3 years ago
12

Lotteries are an important income source for various governments around the world. However, the availability of lotteries and ot

her forms of gambling have created a social problem: gambling addicts. A critic of government-controlled gambling contends that 30% tickets are gambling addicts. If we randomly select 10 people among those who report that they regularly buy lottery tickets, What is the probability that more than 5 of them are addicts?
Mathematics
1 answer:
SashulF [63]3 years ago
5 0

Answer: 0.0473

Step-by-step explanation:

Given : The proportion of gambling addicts : p=0.30

Let x be the binomial variable that represents the number of persons are gambling addicts.

with parameter p=0.30 , n= 10

Using Binomial formula ,

P(x)=^nC_xp^x(1-p)^{n-x}

The required probability = P(x>5)=P(6)+P(7)+P(8)+P(9)+P(10)\\\\=^{10}C_6(0.3)^6(0.7)^{4}+^{10}C_7(0.3)^7(0.7)^{3}+^{10}C_8(0.3)^8(0.7)^{2}+^{10}C_9(0.3)^9(0.7)^{1}+^{10}C_{10}(0.3)^{10}(0.7)^{0}\\\\=\dfrac{10!}{4!6!}(0.3)^6(0.7)^{4}+\dfrac{10!}{3!7!}(0.3)^7(0.7)^{3}+\dfrac{10!}{2!8!}(0.3)^8(0.7)^{2}+\dfrac{10!}{9!1!}(0.3)^9(0.7)^{1}+(1)(0.3)^{10}\\\\=0.0473489874\approx0.0473

Hence, the required probability = 0.0473

You might be interested in
The side length of an equilateral triangle is 5 cm.<br><br> Find its perimeter
ollegr [7]
Answer: 15 cm

Step-by-Step Explanation:

Side Length (a) = 5cm
Perimeter = 3a

Therefore,
= 3a
= 3 * 5
= 15

Perimeter = 15 cm
8 0
2 years ago
Read 2 more answers
Estimate the quotient 24 3/7 ÷ 3 7/13 by rounding to the nearest whole number.
musickatia [10]

Answer:

you get 6.90372 so i thnk it is clse to B

3 0
3 years ago
Read 2 more answers
In one grade of 150 students, the ratio of boys to girls
juin [17]

You idiot you answered your own question!

7 0
3 years ago
Which simplified fraction is equal to 0.53 repeat ? A.24/46 B.8/15 C.42/90 D.5/9
murzikaleks [220]

Answer:

To see how these fractions are equal, I divided the numerators by the denominators. For instance, you could have 4 over 5 (4/5) and divide 4 by 5 (4/5) to get 0.8. Now you'll do the same thing for the fractions given

24/45=0.533...

8/15=0.533...

48/90=0.533...

5/9=0.5556

As you can see, the only fraction that doesn't equal 0.53, or the outlier, is 5/9 or 0.5556

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
I NEED HELP ASAP:
olga55 [171]
First, you have to do some factorization

60 = {1,2,3,4,5,6,10,12,15,20,30,60}
72 = {1,2,3,4,6,8,9,12,18,24,36,72}

the GCF is 12

now we find the number that you multiply by 12 to get 60 and another number to get 72.

12 x 5 = 60
12 x 6 = 72

now we notice if you add 60 + 72, we can now tell that it also equals (12)(5)+(12)(6)= 12(5+6)
6 0
3 years ago
Other questions:
  • When x = 4, the y-coordinate is
    5·1 answer
  • Charlene puts together two isosceles triangles so that they share a base, creating a kite. The legs of the triangles are 10 inch
    15·2 answers
  • Suppose that 15 inches of wire costs 45 cents. At the same rate, how many inches of wire can be bought for 24 cents? Please help
    6·1 answer
  • A 10 gram ball is rolling at 3 m/s. The ball has __________ energy. Calculate it.
    14·2 answers
  • Can someone please help me with this!!! pleasee
    15·1 answer
  • Jason found a steel wire in a form of a circular ring that had a circumference 25.12 inches. What would be the diameter of the w
    14·2 answers
  • Convert the following standard form linear inequality into slope-intercept form:<br> 2x + 5y ≤ 10
    9·1 answer
  • Is this a function?
    13·1 answer
  • If f(x) =2x-1 and g(x)=x^2-3x-2 find (f +g) (x)
    14·2 answers
  • What is the quotient of (2x^(3)+3x^(2)+5x-4)/(x^(2) + x + 1 )?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!