Of customers ordering a certain type of computer, 15% order an upgraded graphics card, 30% order extra memory, 20% order both the upgraded graphics card and extra memory, and 35% order neither. Fifteen orders are selected at random. Let 1,2,3,4 denote the respective number of orders in the four given categories. A. Find P(1=3,2=4,3=2,4=6).

2.0104*10^(-9)

Step-by-step explanation:

Given that of customers ordering a certain type of computer, 15% order an upgraded graphics card, 30% order extra memory, 20% order both the upgraded graphics card and extra memory, and 35% order neither

15 orders are selected at random

P(x1=3, x2 =4, x3 =2 and x4 =6) where x1 , x2, x3 and x4 represent the upgraded graphics, extra memory, both and neither respectively.

Each order is independent of the other.

P(x1) = 0.15, P(X2) = 0.30 , P(x3) = 0.20 and P(x4) = 0.35

Since independent we  get

P(x1=3) =

P(X2=4) =

P(X3=2) =

P(X4=6) =

Required probability = Product of all these four

= 2.0104*10^(-9)

7 ft 6 in means 7 1/2, because 6 in is 1/2 of a foot. 7 ft 8 in means 7 2/3 because 8 in is 2/3 of a foot. 23/3 = 7 2/3. 15/2 = 7 1/2.

23/3   *   15/2   = 57 1/2

step-by-step explanation:

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