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In a challenging chess game, the probability that Mr.B will win is 0.67. Assume that the chess competition follows a binomial distribution and 7 separate matches will be played.
Determine:
(a) will win at most 3 matches
(b) will lose exactly 5 matches
(c) will win every match
Show that T(x1, x2, x3, x4) = 3x1_7x2+5x4 is a linear transformation by finding the matrix for the transformation. Then find the basis for the null space of the transformation.
In the circle graph, what is the measure of the central angle corresponding to each item?
A basket contains 8 ripe and 6 unripe bananas. If three bananas are taken from the basket one after the other. Construct a 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.
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
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
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 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?
