Based on a survey, assume that 43% of consumers are comfortable having drones deliver their purchases. Suppose that we want to find the probability that when five consumers are randomly selected, exactly three of them are comfortable with delivery by drones. Identify the values of n, x, p, and q.

The probability that exactly three of them are comfortable with delivery by drones is 0.2583.

Step-by-step explanation:

Let X = number of consumers comfortable having drones deliver their purchases.

The probability of the random variable X is, P (X) = p = 0.43.

Then q is, q = 1 - p

A sample of n = 5 consumers are selected.

The random variable X follows a Binomial distribution with parameters n and p.

The pmf of X is:

Compute the value of P (X = 3) as follows:

Thus, the probability that exactly three of them are comfortable with delivery by drones is 0.2583.

19.side- angle- side

20. angle- side- angle

step-by-step explanation:

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3