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

(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

the correct answer is

c. 4

step-by-step explanation:

the given polynomial is

the degree of the polynomial is the highest exponent which is 4.

the -4 is called the leading coefficient.

this polynomial has only one term so it is a monomial.

the correct answer is option c.

the rocket cannot penetrate the ground, in a contextual sense, therefore the roots of this equation should be the domain of this function. i'll let you find the roots of this quadratic equation (hint: use the quadratic formula:  

1- c

2-a

step-by-step explanation:

mark brainliest!