Asingle cell can either die, with probability0.1, or split into two cells, withprobability0.90, producing a new generation of cells. each cell in the secondgeneration dies or splits into two cells independently with the same probabilitiesas the initial cell. find the probability distribution for the number of cells inthe third generation.

The probability distribution for the number of cells in the third generation is a Binomial distribution.

Step-by-step explanation:

We use binomial distribution when we have repeated process and the outcome is either a success or a failure.

The probability of success. P ( probability of dying). The probability of failure q ( probability of splitting into two).

The formula for binomial distribution is : n combination x multiplied by p raised to power x multiplied by q raised to power n-x.

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.