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A certain set of data about the weight of female teachers in the age group 25 - 40 gives a mean weight of \n51 kg, a standard deviation of 7.3 kg, and a median weight of 49.6 kg. Compute the coefficient of skewness
a.0.1918
b.0.0788
c.0.1862
d.0.5753
Give that the variance of a set of scores is 100 and the coefficient of variation is 20%, determine the mean for the scores
a.50
b.500
c.20
d.200
Given that the mean and variance of a set of observations are 12.9 and 28.8528, determine the coefficient of variation
a.0.4471
b.0.4164
c.2.2367
d.2.4016
A bag contains 5 white balls and 3 red balls. Two players, A and B take turns at drawing one ball from the bag at random, and the balls are not replaced. The player who first gets two red balls is the winner, and the drawing stops as soon as either two players has drawn two red balls. Player A draws first. Find the probability that A is the winner, given that the winning player wins on his second draw.
Probability that none of five people blood is type b out of 11%
1. The data of two variables X and Y is given below:


TABLE BELOW




Y X
3 45
4 56
5 54
6 56
7 57
6 58
6 67
6 68
7 76
7 76
8 78
9 79
12 80
13 81
15 84
17 89

a. Calculate the correlation between X and Y
b. Apply the regression between X and Y (as dependent variable)
c. Estimate the R square
d. Predict Y when X = 50

Assume that a real estate manager has 5 contacts per week, and she believes that for each contact the probability of making a sale is 0.30. Calculate the following if possible. If any part of question

(you feel) is not possible to calculate give reason:

a. Develop the probability distribution table for sale

b. Calculate the expected number of sales per week and variance of sale

c. Find the probability that she makes at most 2 sales.

d. Find the probability that she makes between 3 and 6 sales (both inclusive)


On average, a clothing store gets 120 customers per day.

56. Assume the event occurs independently in any given day. Define the random variable X.
Patients arrive at a hospital accident and emergency department at random follow a Poisson distribution at a rate of 6 per hour.
(a) Find the probability that, during any 90-minute period, the number of patients arriving at the hospitual accident and emergency department is
(i) exactly 7 (2 marks) (ii) at least 3 (2 marks)
(b) What is the mean and standard deviation of the number of patients arriving at the hospital accident and emergency department in an hour? (2 marks)
Given that the prices of sardines sold at the market is normally distributed with a mean price of Ph15.00 per can and a standard deviation of Ph1.20. Give a detailed description of the population of prices of the cans of sardines with emphasis on the bottom and top 16 % on one hand and the bottom and top 5% on the other while picturing out the greater and the super majority.
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