Instructions of Assignment-1(STAT-101)The display date of Assignment 1 is Wednesday, December 28, 2022, 11:00 P.M.

The due date of Assignment 1 is Monday, January 02, 2023, at 11:00 PM.

Assignment 1 covers the material of Weeks 1, 2, 3, & 4 (Chapters-1, 2, 3, 4 & 5)

The assignment consists of 25 questions

10T/F (0.25 marks each) and 15MCQ (0.5marks each)

Total Marks = 10

You have only one attempt.

1)

The random variable X has the following probability distribution:

x

0

1

2

3

P(x)

5k

3k

4k

8k

The value of k is

0.05

0.02

0.20

0.50

2)

The Expected value of the random variable X where its values are 2, 3, 4 and the

corresponding probabilities are 0.3, 0.3, 0.4 respectively, is equal to

2.1

4.1

3.1

5.1

3)

In a Binomial distribution, n = 2 and P(0) =0.7056. Use the formula of the

Binomial distribution to find p

0.16

0.84

0.29

0.35

4)

The frequency distribution below summarizes the home sale prices in the city of

Summerhill for the month of June. Determine the width of each class.

Sale price in thousand $

Frequency

10-19

3

20-29

5

30-39

4

40-49

9

9

12

11

10

5)

What is the frequency of the class 20-29 for the given cumulative frequency table?

Cumulative frequency

Less than 10

1

Less than 20

3

Less than 30

8

Less than 40

20

Less than 50

25

8

4

12

5

6)

The following frequency distribution analyzes the scores on a math test. The class

boundaries of scores interval 60-69 are:

Scores

No. of Students

40-49

6

50-59

5

60-69

12

70-79

8

80-89

4

90-99

4

59.5, 69.0

60.5, 69.5

59.5, 69.5

59.0, 69.5

7)

The frequency distribution for a certain data is given from the following table

Class Interval

Frequency

50-59

2

60-69

7

70-79

5

80-89

6

90-99

5

Then the percentage frequency for the class 90-99 is:

28%

30%

20%

25%

8)

A die with 6 faces is rolled once. What is the probability that the number is greater

than 3?

3/6

2/6

4/6

1/6

9)

In a population, individuals are divided into blood groups: A, B, AB and O and within

each group into Rhesus + or – according to the following table:

Group

A

B

AB

O

Rhesus +

34

25

5

36

Rhesus –

8

3

2

7

An individual is chosen at random. Giving that he/she has Rhesus –, the probability

that he/she is group O is:

0.465

0.163

0.058

0.350

10)

A card is selected at random from a pack of 52 cards. What is the probability that the

card is either an ace or red color?

1/13

0

3/13

7/13

11)

If the mean of the data values of a set is 80 and the Standard Deviation is 15, then by

the range rule of Thumb the Minimum usual value of the data set is 65.

True

False

12)

If for a distribution Q1=13, Q2=14 and Q3=15.5. Then the Interquartile range is 2.5

True

False

13)

If A and B are mutually exclusive events, then P(A or B) = P(A) + P(B)

True

False

14)

In a population, individuals are divided into blood groups: A, B, AB and O and within

each group into Rhesus + or – according to the following table:

Group

A

B

AB

O

Rhesus +

34

25

5

36

Rhesus –

8

3

2

7

An individual is chosen at random. The probability that he/she is Rhesus – OR group

O is 0.525

True

False

15)

The ordinal-level data are always quantitative in nature.

True

False

16)

Ordinal level of measurement is most appropriate for temperatures of the ocean at

various depths.

True

False

17)

Bar graph uses bars of equal width to show frequencies of categories of qualitative

data.

True

False

18)

The following ogive shows that 45 of the values are less than 30.5

True

False

19)

Speed of train is an example of

Discrete Data

Qualitative Data

Categorical Data

Continuous Data

20)

If the probability of success in one trial of a binomial distribution is p=0.4, and the

number of trials is n= 30, then the mean (E) of this distribution is equal to 1.2.

True

False

21)

A coin is tossed 4 times. The probability of getting Head exactly 3 times using

Binomial probability rule is 4× (1/2)4

True

False

22)

A student had the following grades in the related courses:

Course

Mathematics

English language

PE

Weight

6

4

2

Grade

70

65

92

Given the weights of the courses, the weighted mean grade of the student is:

864

72

75.67

288

23)

At one college, GPA’s are normally distributed with a mean of 3 and a standard

deviation of 1. According to empirical rule, What percentage of students at the college

have a GPA between 2 and 4?

84.13%

99.7%

68%

95%

24)

The midterm marks obtained by 4 students in a sample are as follows: 8, 9, 13, 10.

What is the Standard Deviation of this data?

2.87

4.67

2.16

1.87

25)

Listed below are the amounts of time (in months) that the employees of a restaurant

have been working at the restaurant. What is the median of this data?

22, 11, 55, 33, 99, 66

22 months

55 months

44 months

33 months

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