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
patriot [66]
2 years ago
5

A case of wine has 12 bottles, three of which contain spoiled wine. A sample of four bottles is randomly selected from the case.

1. Find the probability distribution for X, the number of bottles of spoiled wine in the sample. 2. What are the mean and variance of X
Mathematics
1 answer:
asambeis [7]2 years ago
8 0

Answer: (4Cx) × (0.25^x) × (0.75^4-x), mean =1, variance = 0.75

Step-by-step explanation:

Total bottle of wine = 12

Number of spoilt wine = 3

p(spoilt wine) = 3/12 = 1/4 = 0.25, q = 1 - 0.25 = 0.75.

n = number of bottles selected randomly = 4.

Since n = 4, then the experiment is of a binomial.

The probability mass function for a binomial distribution is given as

p(x=r) = nCr × p^r × q^n-r

The distribution for x is given below as

P(X=x) = (4Cx) × (0.25^x) × (0.75^4-x)

The mean for a binomial probability distribution is given as

Mean = np = 4×0.25 = 1

Variance = npq = 4×0.25×0.75 = 0.75

You might be interested in
Why is it so hard to solve problems in your head after middle school?
Paul [167]

Answer:

Because your sleep deprived and your head is clumped up with more equations. :( i wish school was easy

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
X=-3y-5 3x+9y=7 how can u solve this?
pentagon [3]

Answer:


Step-by-step explanation:


5 0
3 years ago
Read 2 more answers
Round off 431.3608 to the nearest hundreth​
FromTheMoon [43]
This would be 431.36
3 0
2 years ago
Read 2 more answers
A bucket that contains several inches of water is left outside on a rainy day. The height of the water in the bucket that day is
Aleks [24]
The verticall intercept is the value of H when t=0. It's 4 in this equation. It's that "several inches" of water that were in the bucket when the rain was ready to start.
6 0
3 years ago
Read 2 more answers
Solve the inequality 2x < 8 - 4(2 - x)
nevsk [136]
Remember you can' do anything to boht sides, but when times negative, flip sign
distributive property
a(b+c)=ab+ac

distribute the -4
-8+4x

now we have
2x<8-8+4x
2x<4x
minus 2x both sides
0<2x
therefor
0<x

answer is x>0
5 0
3 years ago
Other questions:
  • Answer on this one please: the coastline of the United States is 12,383 miles long.canada's coastline is 113,211 miles longer th
    11·2 answers
  • Mention 15 examples of vegetables​
    7·1 answer
  • SOMEOEN PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1 ITS URGENT PLEASE HELP! 20 POINTS!!!!!
    15·2 answers
  • Which of the following cars is traveling at the fastest rate of speed?
    12·2 answers
  • What is the point of intersection when the system of equations below is graphed on the coordinate plane?
    5·1 answer
  • Rectangles on a quilt are 2 inches wide and 3 inches along the perimeter of each rectangle is made by Pantone of red thread ther
    9·2 answers
  • You have been assigned a 9-digit identification number. How many identification numbers are possible?
    14·1 answer
  • HELP! The Last option is none of the above
    9·1 answer
  • A small university enrolls in-state and out-of-state students. The number of students enrolled in their most recent freshman cla
    11·1 answer
  • A piece of wood for a sign is shaped like a parallelogram with a base length of 14 inches and a height of 9 inches. A small tube
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!