Math Answers

Mrs. Balao is randomly choosing 3 students for a team who will compete in a math quiz bee, and there are 5 girls and 8 boys to choose from. What is the probability of having a team made up 2 girls and a boy?

Tshepo wants to buy a big screen tv. She has five interest rates to choose from if she borrows money from the bank. The cheapest option for her is

1) 29% per year, compounded daily

2) 30% per year, compounded semi-annually

3) 28.5% per year, compounded weekly or

4) 29.5% per year, compounded every two months

Given the data: 123, 126, 129, 132, and (a) construct a sampling of

the mean (b) draw a histgyfor the sample means

b. Show on the real line and indicate in symbols each of the following:

S₁= {x: -7 < x < ∞ } ∩ {x: -∞ < x < 3}

S₂= (x:x ≥ ∞ } ∩ (x: x+ 3 < 6}

S3 = y: y²-2 y-3 < 0} U {y: -2 ≤ y ≤ 1}

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.