Search
500 750 300 450 compute with north West corner method
if P (2π/3) = ( -1/2 , /3/2) then cos Ø =?
In a certain federal prison it is known that 2/3 of the inmates are under 25 yrs of age. Its is also known that 3/5 of the inmates are males and that 5/8of the inmates are females or 25 years of age or older. What is the probability that a prisoner selected at random from this prison is female and at least 25 years old?
For the a Poisson random variable x generating function G(t)= exp^lambda(t-1) show that the expected value E(x) and variance (x) are given by lambda and lambda respectively.
Two groups were randomly assigned to spend 15 minutes either in a hot room (defined as 30 degrees Celsius) or a cold room (defined as 0 degrees Celsius). After the 15 minutes elapsed, a mood measure was completed by participants. Scores on the measure of mood ranged from 1-20, with higher scores indicating a better mood. Using an alpha of 0.05, test for a difference between the groups. Group 1 (hot) Group 2 (cold) 13 8 12 8 12 5 9 3 8 3 8 2 a)
Company XYZ prepares this for jam, which are labeled to have a mass of
largebatch containing 100 and is found to have a mass of 500 grams.
Assuming the masses are normally distributed, test whether the mass Of this
550 grams with a standard deviation of 20 grams. One tin is selected from a
500 grams. During the preparation the tins are set to have a mean mass of
tin is significantly different from 550 gram at 5% level of significance
1. Using the table below, find the standard deviation and the variance of the scores of 30 students in Statistics exam.
Class Interval Class Frequency (f)
47 - 51 4
52 – 56 3
57 – 61 3
62 – 66 4
67 – 71 5
72 – 76 3
77 – 81 3
82 – 86 1
87 - 91 4
2. Determine the standard deviation and the variance of the scores obtained by the students in Mathematics using the table below.
Class Interval Class Frequency (f)
29 – 33 5
34 – 38 5
39 – 43 4
44 – 48 4
49 – 53 2
54 – 58 4
59 – 63 6
64 - 68 2
A green die and a red die are rolled. The random variable X is the absolute value of the difference between the number of spots on the red die and green die.
What is the present value of an annuity if the size of each payment is Birr 100 payable at the
end of each quarter for 2 years and the interest rate is 8% compounded quarterly?
Two balls are drawn in succession without replacement from an urn containing 6 green balls and 6 yellow balls. Let Y be the random variable representing the number of yellow balls. Find the values of the random variable Y
