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
Tju [1.3M]
4 years ago
12

A poll is given, showing 35% are in favor of a new building project. If 8 people are chosen at random, what is the probability t

hat exactly 4 of them favor the new building project?
Mathematics
1 answer:
denpristay [2]4 years ago
7 0

Answer:

18.7%

Step-by-step explanation:

 This is a case of binomial distribution. The formula is as follows:

P = 8C4 * (p ^ x) * [(1-p) ^ (n-x)]

 

Now, we have to p = 0.35, n = 8 and x = 4.

8C4, means combinations of 8 in 4, the combination formula is:

nCx = n! / [x! * (n-x)!]

Replacing

8C4 = 8! / [4! * (8-4)!] = 8! / (4! * 4!) = 70

Now we can replace all values in the main formula:

P = 70 * (0.35 ^ 4) * [(1-0.35)] ^ (8-4)

P = 70 * (0.35 ^ 4) * (0.65 ^ 4) = 0.187

Therefore, there is an 18.7% is the probability that exactly 4 of them favor the new building project

You might be interested in
The events A and B are mutually exclusive. If ​P(A)=0.1 and ​P(B)=0.4​, what is​ P(A or​ B)? ASAP
Gemiola [76]

Answer:

Given that the events A and B are mutually exclusive.

P(A) = 0.1

P(B) = 0.4

Mutually Exclusive Events: When two events are Mutually Exclusive it is impossible for them to happen together i.e

If A and B are two events then; P(A and B) = 0

then;

P(A or B) = P(A) +P(B)

By the definition of mutually exclusive events;

P(A or B) = P(A) +P(B)                     ......[1]

Substitute the values of P(A) = 0.1 and P(B) = 0.4 in [1] we have;

P(A or B) = P(A) +P(B) = 0.1+0.4 = 0.5




6 0
3 years ago
(a) Fiona has $450 in her savings account. She deposits $40 each month. Liam has $975 in his checking account. He writes a check
kenny6666 [7]

Answer:

y=450+40x        y=975-65x

Step-by-step explanation:

at five months they will have the same amount of money in their accounts

7 0
3 years ago
Express each of these system specifications using predicates, quantifiers, and logical connectives, if necessary.
Alja [10]

Step-by-step explanation:

1. we have to write the system specifications as:

A(x,y) give us the meaning that the consule x can be accessed when y is in a faulty condition

∀y∃A(x,y)

2. B(x,y) shows that users email has sent a message, y. Which is in the archive. C(x) shows the email address of user x is retrievable

∀x∃y[B(x,y)→c(x)]

3. D(x,y) shows that x can detect breach y'' and we have E(z) that tells us there is a compromise of z

∀y∃xD(x,y)↔ ∃zE(z)

4. F(x,y,z)

Y and z are distinct point ends which x connects

We have,

∀y∀z∃x∃a[x ≠a →F(x,y,z)^F(a,y,z)

5. G(x,y)

X knowst the password of y' and H(x) means that we have x to be a system administrator

∀x[H(x)→∀yG(x,y)] ∃x[H(x)^∀yG(x,y)]

6 0
3 years ago
Yesterday Jamal scored -20
Nastasia [14]
That’s all? That give me no info to help you bud
8 0
3 years ago
Ina class of 44 pupil 3/4 are girls . How many girls would be there altogether.
soldi70 [24.7K]

Answer:

33 girls

Step-by-step explanation:

This is the answer because:

1) 3/4 of 44 is 33 because 1/2 of 44 is 11

               a) 11 x 3 = 33

Hope this helps! :)

3 0
3 years ago
Read 2 more answers
Other questions:
  • A small can if cat food weights 0.5 pounds . Millie's cat ate 0.3 can of food. How much food did mollies cat eat?
    5·1 answer
  • There are a total of 91 students in a drama club and a yearbook club. The drama club has 19 more students than the yearbook club
    12·1 answer
  • Write the fraction less than 1 with a denomimator of 6 that is greater than 3/4
    8·1 answer
  • Dayo read 4/5th of a story book which has 500 pages. How many pages of the book is not yet read by Dayo?
    13·1 answer
  • What is the volume of this container
    9·2 answers
  • How to find the length of line BD
    11·2 answers
  • Woodrow entered the following expression into his graphing calculator
    9·2 answers
  • I NEED HELP
    6·1 answer
  • does choosing a blue marble represent the compliment event of choosing a red marble? explain. (there are 2 blue, 1 red, and two
    13·2 answers
  • Help please! I really suck at math!
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!