Math Answers

Two balls are drawn in succession without replacement from a box containing 3 red balls and 4 yellow balls. Find the possible outcomes and the values X of the random variable X, where X is the number of yellow balls. Use R for red balls and Y as yellow balls

c) The Star hotel was burned down in a fire and the manager decided to accommodate the

guests in 4–person and 8-person tents. The tents were to be hired at a cost of Kshs 1,500 and

Kshs 4,500 per night respectively, the space available could accommodate at most 13 tents

and the manager had to cope with at least 64 guests.

Required

Formulate this as a linear programming model that could be used to determine the number

of tents of each type that could pull up in order to minimize the overall cost.

What is p ⊕ p ? true or false

A.classify the following random variables as discrete or continuous.

1.The weight of the professional wrestlers

Given W is a uniformly distributed random variable with mean 33 and variance 3. determine: 

(a) probability density function for W 

(b) cumulative distribution function for W 

Suppose three coins are toosed let y be the random variables representing the number of heads that occur.

A. Find the values of the random variables Y. Complete the table below.

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.