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C.Construct the probability distribution for the random variables described i each of tje following situations.


2.Four coins are tossed.Let Y be the random variable representing the number of heads that occur.Find the values of the random variable Y.


How many different ID cards can be made if there are 9 digits on a card and no digit can be used more than once? What if digits can be repeated?


List the members of these sets.

a) {x | x is a real number such that x 2 = 1}

b) {x | x is a positive integer less than 12}


Find class boundaries, midpoint, and width for the class 122-128

A Wendy's manager performed a study to determine a probability distribution for the number of people, X, waiting in a line during lunch. The results were as follows. Find and interpret the probability that 10 or more people are waiting in line for lunch?


  1. For what values of h the vectors


⟶ [1 ⟶ [-1 ⟶ [5

u1 = -3 u2 = 9 u3 = -7

-2] -6] h]


are linearly independent? (Show all working)


Which of the following is the solution of the equation below?

0x + 0y = 0.

1. (0, 0, 0).

2. (1, 0, 0).

3. No such solution exists.

4. Infinitely many solution or (−1, 2, 1)


using ϵ−δ definition, show that

lim x→2 (1/2 x2 - x + 1)


Using the definition of limit at infinity or infinite limits, prove that

a) lim𝑥 → 3 1/ (𝑥 − 3) 2 = ∞ 


 Using Intermediate Value Theorem, show that


x2 = √𝑥 + 1 has a root in (1,2)


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