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Statistics and Probability

Let A represent the event
that someone lives with ASD and B represent the event that someone does not live with
ASD.
Question 23
Which of the following statements is correct?
(1) P.A and B/ D P.A/ P.B/:
(2) P.AjB/ D P.A/:
(3) P.B/ 6D P.A
C/:
(4) Events A and B are mutually exclusive.
(5) Events A and B are independent.
Question 24
Suppose further that P.A/ D 0:96 and P.B/ D 0:04. P.A or B/ D?
(1) 0:92:
(2) 0:0384:
(3) 1:
(4) 0:96:
(5) 0:04:

Statistics and Probability

Number if people
108
44
206
85
57
Question 21 Which of the following statements is correct? (1) The median is 85 and equals the mean. (2) The value of Q1 is 57. (3) The position of Q2 is 2. (4) The value of Q3 is 157. (5) The distribution of the number of people living with ASD is symmetric.
Question 22 The interquartile range is __________________? (1) Equals to the range. (2) Always less than the range. (3) 149: (4) 51: (5) 0:

Statistics and Probability

Number if people
108
44
206
85
57
Question 18 Which one of the following statements is incorrect? (1) The mean and the median are equal. (2) The mean is less than the median. (3) The mode is zero. (4) There is no mode. (5) None of the above.
Question 19 What is the sample standard deviation? (1) 64:25: (2) 57:46: (3) 4127:50: (4) 3302: (5) None of the above. 21
Question 20 The coefficient of variation is: (1) 64:25%. (2) 57:46%. (3) 4127:50%. (4) 3302%. (5) 100%.

Statistics and Probability

Age at diagnosis in months
18.5
22
20
30.5
25
Question 15 Which one of the following descriptive statistics is not a measure of central tendency or location? (1) Mean. (2) Median. (3) Mode. (4) Range. (5) All the above measures describe central tendency or location.
Question 16 Which one of the following statements is correct with regard to the coefficient of variation? (1) It is a measure of location. (2) It is the difference between the largest and smallest value in a dataset. (3) It is the sample standard deviation squared (4) It is the sample standard deviation expressed as a percentage of the mean. (5) It is the mean squared.

Statistics and Probability

A study reports that 5% of adults are afraid to be home alone at night. If 20 people are randomly selected, what is the probability at least 3 of them are afraid to be home alone at night ?
a) Is the situation Binomial or Hypergeometric ?
b) How do you know which one it is
c) Change the situation so that it could be calculated using other distribution ( for example , if it is binomial , change to hypergeometric )

Statistics and Probability

What criteria are required when using the following distributions? Give a clear example of each
- Uniform
- Binomial
- Hypergeometric

Statistics and Probability

A game consists of rolling a die. If you roll a 1 or 2 you win $5 . If you roll a 4,5, or 6 you pay $1.25
a) Determine the probability distribution for the winnings
b ) Determine the expected winnings
c) is this a fair game ?

Statistics and Probability

TYPE OF ASD No of people
A 108
B 44
C 206
D 85
E 57
Question 13
Which one of the following statements is incorrect?
1. The total number of people living with ASD is 500.
2. The frequency of people living with type B ASD is 0:09.
3. The relative frequency of people living with type C ASD is 0:41.
4. The frequency of people living with type D ASD is 85.
5. None of the above.

Statistics and Probability

TYPE OF ASD No of people
A 108
B 44
C 206
D 85
E 57
Question 11
Table above is referred to as a ___?
(1) Frequency distribution.
(2) Relative frequency.
(3) Frequency.
(4) Cumulative frequency.
(5) None of the above.
Question 12
What is the appropriate graphical form to summarise the data in Table above?
(1) Scatter plot.
(2) Stem-and-leave diagram.
(3) Bar or pie chart.
(4) Histogram.
(5) All of the above plots are appropriate.

Statistics and Probability

Question 9
Consider statements A to D below.
(A) Data can be summarised using both tabular and graphical methods.
(B) Classes in a frequency distribution are non-overlapping.
(C) Frequency refers to the proportion of items in a class while relative frequency refers to the
actual count per class.
(D) The modal class is the class with the highest frequency.
Which statement(s) are incorrect?
(1) Only D.
(2) Only B.
(3) Only C.
(4) Only A and B.
(5) Only B, C and D.
Question 10
The sum of relative frequencies for all class will always equal?
(1) 1:
(2) 100:
(3) The number of classes.
(4) The sample size.
(5) The total frequency