Math Answers

A coin is tossed, and the random variable X is the number of heads that appear. Use H to represent the head and T to represent the tai

The area between z = -2.40 and z = 1.15 is

If the x̄ =87 and the s=7, the z−score that corresponds to a score X=102 is

Given the score X=72, σ=4 and z=1.64, the value of μ is

Suppose an average of  5 cars arrive at the parking lot every  15 minutes. What is the probability that exactly  4 cars will arrive in the next  15 minutes?

Draw Dienes blocks to show how to find solution to

78+54

102-45

Suppose that a pair of fair dice are to be tossed and let x the random variable denote the sum of the points.

compute the expected value

the variance of X

the standard deviation of x

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. (10 Marks)

1. ) The following table shows the number of units produced each month and the total incurred.

MONTH UNITS COST

JUNE 200 50,000

JULY 500 75,000

AUGUST 300 55,000

SEPTEMBER 800 95,000

OCTOBER 700 80,000

NOVERMBER 600 80,000

DECEMBER 400 60,000

Required

              I. Estimate the variable cost per unit and the fixed cost per month use high low method. (6mks)

             ii.  Calculate the regression line Y= a+bx (6mks)

(b) Explain four purpose of transfer pricing (8mks)

Explain the following concepts using examples:

i. Mutually exclusive events. (3 Marks)

ii. Independent events. (3 Marks)