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
Mrrafil [7]
3 years ago
7

A study indicates that 62% of students have have a laptop. You randomly sample 8 students. Find the probability that between 4 a

nd 6 (including endpoints) have a laptop.
Mathematics
1 answer:
Scrat [10]3 years ago
3 0

Answer:

72.69% probability that between 4 and 6 (including endpoints) have a laptop.

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they have a laptop, or they do not. The probability of a student having a laptop is independent from other students. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

A study indicates that 62% of students have have a laptop.

This means that n = 0.62

You randomly sample 8 students.

This means that n = 8

Find the probability that between 4 and 6 (including endpoints) have a laptop.

P(4 \leq X \leq 6) = P(X = 4) + P(X = 5) + P(X = 6)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 4) = C_{8,4}.(0.62)^{4}.(0.38)^{4} = 0.2157

P(X = 5) = C_{8,5}.(0.62)^{5}.(0.38)^{3} = 0.2815

P(X = 6) = C_{8,6}.(0.62)^{6}.(0.38)^{2} = 0.2297

P(4 \leq X \leq 6) = P(X = 4) + P(X = 5) + P(X = 6) = 0.2157 + 0.2815 + 0.2297 = 0.7269

72.69% probability that between 4 and 6 (including endpoints) have a laptop.

You might be interested in
How here needs help i m a teacher that helps answer this Math Quiz
sweet [91]

Answer:

The mean is 254.5

Step-by-step explanation:

Add up all the numbers then divide by how many numbers there are.

5 0
2 years ago
Read 2 more answers
What is a repeated addition expression for -4 times -2 plz I will give you 100 points
fenix001 [56]

I think :

(-4) + (-4) = -8

or

(-2) + (-2) + (-2) + (-2) = -8

but i am not sure

6 0
3 years ago
Read 2 more answers
HELP PLEASE 10 POINTS
tatuchka [14]

Answer:

Angle K is 55 degrees

Step-by-step explanation:

Angle K corresponds to Angle R

3 0
3 years ago
Một người gửi tiết kiệm 100 triệu đồng theo kỳ hạn gửi là 1 năm. Sau 5 năm người người đó nhận được số tiền là 153,86 triệu đồng
insens350 [35]

Answer:

no

Step-by-step explanation:

5 0
3 years ago
An interior designer is buying fabric to cover throw pillows for a master bedroom. She needs material to cover 6 pillows—3 recta
kherson [118]

Answer:

  • a. 552 square inches
  • b. 835.7 square inches
  • c. 1256.6 square inches
  • d. 4584 square inches
  • e. 432 cubic inches
  • f. 1847.3 cubic inches
  • g. 4188.8 cubic inches
  • h. 9179.3 cubic inches

Step-by-step explanation:

a-c. The area formulas for these figures are ...

  rectangular prism: A = 2(lw +h(l+w))

  cylinder: A = 2πr(r +h)

  sphere: A = 4πr^2

d. The total will be the sum of products: area of each pillow times the number of that type

__

e-g. The volume formulas for these figures are ...

  rectangular prism: V = lwh

  cylinder: V = πr^2h

  sphere: V = (4π/3)r^3

h. As with area, the total volume is the sum of products: volume of each pillow times the number of that type.

7 0
3 years ago
Other questions:
  • A movie rental company charges $3 per movie, m, and a monthly fee of $20. What is the equation that represents the cost, C, to r
    9·2 answers
  • Rational numbers with distribute property
    5·1 answer
  • Simplify the expression, and explain each step. 1/3*q*3
    9·1 answer
  • Please help!
    6·1 answer
  • At the park there is a pool shaped like a circle. A ring-shaped path goes around the pool. Its inner diameter is 22yd and its ou
    5·1 answer
  • What is 1/4 of 32 PLEASE HELP ME IM STUCK
    5·2 answers
  • What is 11/14 simplified
    10·2 answers
  • Create a complete graph of the function f(x) = 3? - 2x - 8 and fully describe it.
    11·2 answers
  • Tomer is playing a game that involves rolling 5 6-sided dice at once, and his goal is to roll the dice so exactly 4 of
    13·1 answer
  • Leyla is redecorating her living room. The room is in the shape of a right rectangular prism. The dimensions of the room are 15
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!