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Complete the table below.

Experiment

1. Number of rings before the phone is answered

2. Teacher ask the students to finish the test after an hour

3. Number of complaints per day

4. Height of the tallest building in Lucena City

5. Number of Mobile phones in a household

Number X or the Random

Variable X


1.

2

3.

4.

5.

Types of Random Variable

1.

2

3

4

5



In a betting game wherein the result may be one of the following in one turn: break even, win 5 peso or lose 3 peso. How much will be the amount a player gets after three turns. Let X be the total amount of a player gets after three turns.


  • Sample space (all outcomes)
  • Possible values
  • Properties 1 and 2
  • Probability Mass Function 
  • Histogram

Let V be a vector space of 2×2 matrices over R. Show that the set S defined by S={(a,b)(c,d)belongs to V :a+b=0} is a subspace of R

A sales manager has to assign assign 4sales person to 4 territories the possible profit for each salesman in each territory is given below salesman territories A B C D 1 35 27 28 37 2 28 37 29 40 3 35 24 32 33 4 24 32 25 28 find the assignment that maximizes the profit 


Three balls are drawn in succession without replacement from an urn containing 3 red balls, 2 blue balls and 2 yellow balls. Let Z be the random variable representing the number of blue balls.




Sample space (all outcomes)



Possible values



Properties 1 and 2



Probability Mass Function



Histogram

A sales manager has to assign assign 4sales person to 4 territories the possible profit for each salesman in each territory is given below salesman territories A B C D 1 35 27 28 37 2 28 37 29 40 3 35 24 32 33 4 24 32 25 28 find the assignment that maximizes the profit

A basket contains 10 red balls and 4 white balls.If three balls are taken from the basket one after the other,determine the possible values of the random variable R representing the number of red balls.


find the mean of the probability distribution of the random variable x, which can take only the values 1,2 and 3, given that P(1)= 10/33 P (2) =1/33 and P(3)= 12/33


A ladder that is 16 ft long is leaning against the side of a building. If the angle formed between the ladder and the ground is 72 degrees, how far is the bottom of the ladder from the base of the building?


A basket contains 8 ripe (R) and 6 unripe (U) bananas. If three bananas are taken from the basket one after the other with replacement. Construct table that shows all the possible outcomes of the random experiment and all the values of the random variable R representing the number of ripe bananas.

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