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1. A carnival roulette wheel contains 38 slots numbered 00, 0, 1, 2, 3, …, 36. 18 of the slots
numbered 1 through 36 are colored red, and 18 are colored black. The 00 and 0 slots are
uncolored. The wheel is spun, and a ball is rolled around the rim until it falls into a slot. What is
the probability that the ball falls into a black slot?
2.
Suppose that a red die and a green die are tossed and the numbers on the sides that face
upward are observed.
(a) What is the probability that the numbers add up to 8?
(b) What is the probability that the sum of the numbers is less than 4?
3. A die is rolled three times. What is the probability that the three numbers are the same?
*11.A box contains 16 computer disks, 5 of which are known to have bad sectors.
In how many ways can 4 disks be selected, without replacement and without regard to order, so that the
following conditions are satisfied?
a. In how many ways can disks be selected so that none have bad sectors?
b. In how many ways can disks be selected so that all have bad sectors?
c. In how many ways can disks be selected so that exactly 2 do not have bad sectors?
4. Determine the last three terms in the binomial expansion of (x+y)9.
5.
Suppose that a red die and a green die are tossed and the numbers on the sides that face
upward are observed.
(a) What is the probability that the numbers add up to 8?
(b) What is the probability that the sum of the numbers is less than 4?
*12. Color blindness is a sex-linked, inherited condition that is much more common
among men than women. Suppose that
6% of all men and 0.8% of all women are color-blind. A person is chosen at random
and found to be color-blind.
What is the probability that the person is male? (You may assume that 50% of the
population are men and 50% are women.)
6. A truck can carry a maximum of 42000 pounds of cargo. How many cases of cargo can it carry if
half of the cases have an average (arithmetic mean) weight of 10 pounds and the other half
have an average weight of 30 pounds?
7. Find the value ( use z-score in D2L contents)
a.P(z >1.22),
b. P( 0.19 < z < 2.11) 8. Find P( 30.8 < X< 31.2) for given the mean, µ, is 30 and the standard deviation, σ, is 1.2. *13. Find the probability of obtaining 12 or more heads in 20 coin tosses. ( Use approximating binomial to normal) 9. Determine the size of AB,if it is defind. a. A is 3x4, B is 3x3 b. A is 3x2, and B is 3x2 c. A is 3x3 and B is 3x5 *14.Minimize the objective function 4x+4y subject to the constraints. 2x+y ≥ 10 x+ 2y ≥ 8 x≥ 0 y ≥0 10. Suppose a simplified economy consisting of the three sectors Manufacturing, Energy, and Services has the input-output matrix below. Which sector of the economy requires the greatest amount of services in order to produce $1 worth of output? M E S M 0.1 0.1 0.25 E 0.15 0.25 0.1 S 0.25 0.15 0.15 *15 Which quadrant contains no points that satisfy the inequality 3y−2x ≥ 6? Purchase answer to see full attachment

  
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