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
Ivahew [28]
3 years ago
6

Use a normal approximation to find the probability of the indicated number of voters. in this​ case, assume that 114 eligible vo

ters aged​ 18-24 are randomly selected. suppose a previous study showed that among eligible voters aged​ 18-24, 22% of them voted. probability that exactly 27 vote
Mathematics
1 answer:
mafiozo [28]3 years ago
5 0
The random variable X ≈ B(n, p)

Where n is the number of samples. If the value of n is huge, calculating binomial coefficient can be difficult and calculator won't be able to perform the nCr calculation for a big value of n (try ⁶⁰⁰C₁₂₃ on the calculator).

If p, which is the probability, is close to 0.5, the binomial distribution will be fairly symmetric.

We have n = 114 and p = 22% = 0.22

We first need to approximate X by Y ≈ N(np, np(p-1))

np = 114×0.22 = 25.08
np(1-p) = 114×0.22×0.78 = 19.6

Therefore, Y ≈ N(25.08, 19.6)
and since the standard deviation, б = √np(1-p) = √19.6
We then have, Y≈N(25.08, (√19.6)²)

We aim to find the probability of X is exactly 27, mathematically written as P(X=27)

Applying the continuity correction we have P(26.5<Y<27.5) ⇒ This correction, in other words, is applying a range to X that will definitely include the value of X=27

The next step is standardising
We have the mean, μ=25.08 and σ=√19.6

P(26.5<Y<27.5) = P(\frac{26.5-25.08}{ \sqrt{19.6} }<Z<\frac{27.5-25.08}{ \sqrt{19.6} })
P(26.5<Y<27.5) = P(0.32<Z<0.55)
P(26.5<Y<27.5) = P(Z<0.55) - [1 - P(Z<0.32)] ⇒ Read the values for these z-score on the z-table
P(26.5<Y<27.5) = 0.7088 - [1-0.6255]
P(26.5<Y<27.5) = 0.3343


You might be interested in
The picture is there​
aliina [53]

Answer:

Step-by-step explanation:

Because CB = 6 cm, we can find CD

Use Triangle CDB.

<BCD = <BCA - <ACD

<BCD = ?

<BCA = 90

<ACD = 60

<BCD = 90 - 60

<BCD = 30

Cos 30 = CD / CB

CD = Cos(30) * BC

CD = 5.196 cm

<A = 90 - ACD

<ACD = 60

<A = 90 - 60

<A = 30

Sin(<A) = CB / AB

AB = CB / sin(<A)

AB = 6 / 0.5

AB = 12

Area =1/2 CD * AB

Area = 1/2 * 5.196 * 12

Area = 31.18

4 0
3 years ago
Which statement is true ?
8090 [49]

Answer:

f(x)=4x^2

f(2)=4(2)^2

f(2)=4(4)

f(2)=16

2. g(x)=4*2^x

g(2)=4*2^2

g(2)=4*4

g(2)=16

f(2)=g(2)

Both is equal to 16

I hope this help you :)

Step-by-step explanation:

8 0
3 years ago
HELP MEEEEE EASY DUE IN A MINSS<br> What is the prime factorization of 990?
alex41 [277]

Answer:

11 is one of the factors! The orange divisor(s) above are the prime factors of the number 990. If we put all of it together we have the factors 2 x 3 x 3 x 5 x 11 = 990.

Step-by-step explanation:

3 0
3 years ago
Consider the net of a triangular prism where each unit on the coordinate plane represents ten feet. If a can of spray paint cove
____ [38]
Where's the net. We need the net to answer the question
3 0
3 years ago
Read 2 more answers
Determine whether the vectors u and v are parallel, orthogonal, or neither. u = &lt;6, -2&gt;, v = &lt;8, 24&gt;
ratelena [41]
We'll check if they're orthogonal:
u*v=0
(6,-2)*(8,24)=0
6*8+(-2)*24=0
48-48=0
0=0
they are orthogonal vectors
4 0
3 years ago
Other questions:
  • Milly has $83.50 in her savings account. She deposits $15 every week. Her mother also deposits $10 into the account every time M
    12·1 answer
  • Stan drove 3,300 to the grocery store. The tires on his truck are 22 m in circumfrence. How many rotations did each tire make on
    6·1 answer
  • A catapult’s lever holds a cannonball. The lever is attached to a tightly held rope. When the rope is released, the lever spring
    10·1 answer
  • Which equation represents the graph below
    5·1 answer
  • Evaluate the numerical expression 10 + (25-10) ÷5
    8·2 answers
  • Find the volume of the 3D figure. Round to 3 decimal places.
    8·1 answer
  • Hown below are the top 15 market research firms in the United States in 2014 according to the AMA Gold Top 50 Report. Compute th
    5·1 answer
  • What is the last digit of 2¹³?​
    8·1 answer
  • What is the next fraction in this sequence? Simplify your answer.<br> 5/6, 2/3, 1/2, 1/3, ...
    11·2 answers
  • What is 4 over 15 plus negative 7 over 45
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!