About 25% of those called for jury duty will find an excuse to avoid it. If 12 people are called what is the probability that all 12 will be available. (Binomial distribution)

Approximately (or, equivalently, ,) assuming that the availabilities of the jurors are independent from one another.

Step-by-step explanation:

The question states that the probability that a given juror is unavailable is approximately .

For the complement of that event, the probability that this particular juror is available would be .

Assume that the availabilities of the jurors are independent from one another. The number of available jurors would be a binomial variable with and ( independent observations, each with a probability of being "available".)

Hence, the probability that all jurors are available would be:

.

456567546657689765432567890-9876543567890-987657890

step-by-step explanation:

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