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In a school with 500 students, the average height is 165 +-10 cm. Assuming that the height follows the normal distribution:
If we choose a sample of 25 people from the above school What is the probability that a student is taller than 169 cm?
assign probability values P(X) to each of the random variable
Find the area under normal curve from z = -2.83 to z= -0.82.
Let B be the number of boys in a family of 4 children
a) construct the probability distribution for the random variable B.
QUESTION 1 (10 MARKS)
Identify the form of breach of contract in each of the following situations.
1.1. X delivers Ohorongo Cement to Y, when Y bought Cheetah cement. (2 marks)
1.2. X and Y agrees that Y will paint X’s house on Sunday. That Sunday, X switches off his mobile phone the whole day, with the result Y cannot find X to be given directions to X’s house. (2 marks)
1.3. X buys a house from Y for N$ 2 million. X moved in the house but refuses to pay Y the purchase price. (2 marks)
1.4. X sells a car to Y. As X drives the car to Y from Okahandja, the car is written off by X in an accident. (2 marks)
a) Explain how you can determine the Correlation Coefficient in Quantitative Research
(b) Explain how regression equation is used in Quantitative Research
(c) With practical statistical examples, explain how you can calculate and interpret the following:
(i) Mean, mode, median, range, standard deviation and variance for ungrouped data
(ii) Mean, mode, median, range, standard deviation and variance for grouped data
(iii) Probability of an event to occur and Probability of an event not to occur
(iv) Type I and Type II errors
(v) Confidence interval, Anova, and Chi Square
(vi) Explain all the steps and statistical information involved in testing an hypothesis.
a) With relevant examples, explain different types of statistics and how they are used in quantitative research.
(b) Which symbols are commonly used in social statistics?
(c) Draw the scatter plot and explain its relevance in quantitative research
The number of accidents in a production facility has a Poisson distribution with a mean of 2.7 per month.For a given month what is the probability that there will be more than three accidents?
As a Physical Education teacher of Hermosa National High School Senior High School, Maam Mary Ann wants to compute for the Body Mass Index of few students as part of her research. As a start, the table below shows the heights of five students in meters. Supposed samples of size 2 are taken from this population of five students, complete the given table and answer the following tasks. Construct the desired tables needed for your solutions and answers.
Which of the following pairs of events are mutually exclusive? a) A golfer scoring the lowest 18-hole round in a 72-hole tournament and losing the tournament. b) A poker player getting a flush (all cards in the same suit) and 3 of a kind on the same 5-card hand. c) A mother giving birth to a baby girl and a set of twin daughters on the same day. d) A chess player losing the last game and winning the match
