We toss a fair coin 4 times. Let X count heads. Find P(X = 0) to nearest ten thousandth (4 decimal places).

Step-by-step explanation:

If you toss the coin 4 times, you get 2 * 2 * 2 * 2 possible outcomes, which is 16 outcomes.

There is only 1 outcome where P(x = 0) is possible and that would be

T T T T

one out of 16 is .0625. So

P(x = 0 )  = 0.0625

P (x = 0)  1/16 = 0.0625

Step-by-step explanation:

We toss a fair coin 4 times.

HT HT HT HT      4/4   of each if TH TH TH TH etc..

HT HT HT TH     3/4

HT HT TH HT    3/4

HT HT TH TH    1/2

Let X count heads. Find P(X = 0) to nearest ten thousandth (4 decimal places).

P (x = 0)  1/16 = 0.0625

We cna find the average by multiplying a midpoint on one half findings on one side ie) 4/4 x 3/4 x 3/4 x 1/2  = 0.2813

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true