Stat 101 Mid Term 2021

Stat 101 Mid term 2021
The level of measurement used for a movie critic‟s ratings of “must see;
recommended; not recommended; don‟t even think about going.” is Interval.
False
If 𝑃 (Z < 1.00) = 0.8413, then 𝑃 (0 < Z < 1.00) is equal to 0.5000.

False
The midterm marks obtained by 4 students in a sample are as follows: 12, 21,
17, and 18. Find the variance of this data.
1. 1.4
2. 14
3. 2.74
4. 3.74
he blood type of 10 person are listed below with the blood groups O, A, B,
AB:
O, O, A, B, A, O, A, A, A, AB.
What is the relative frequency corresponding to the blood group „B‟?
1. 0.10
2. 0.05
3. 0.50
4. 0.30
Adults have exam scores that are normally distributed with mean 80 and
standard deviation 10, then the probability that a randomly selected adult has
an exam score greater than 90 is:
(Given that P(z < 1.0)= 0.8413)
1. 0.8413
2. 0.4500
3. 0.1587
4. 0.8715
Choose the correct answer for the following question:
A die with 6 faces is rolled once. What is the probability of getting a number
less than or equal to 6?
1. 1/6
2. 1
3. 5/6
4. 0
If the standard deviation and mean of the data set are 6.5 and 12.5
respectively, then the coefficient of variation is
1. 51%
2. 52%
3. 50%
4. 49%
Listed below are the aptitude test scores of eleven children:

95, 78, 69, 91, 82, 76, 76, 86, 88, 80, 80
What is/are the mode (s) for the given sample data?
1. 76
2. 80
3. no mode
4. 76 & 80
Petrol company is studying the number of monthly absences among its 60

employees. The following probability distribution shows the likelihood that
people were absent 0, 1, or 2 days last month:
Number of days absent Probability
0 0.40
1 0.30
2 0.30
What is the mean number of days an employee has been absent?
1. 0.60
2. 0.40
3. 0.90
4. 1.00
The random variable X has the following probability distribution:
x012
P(x) 0.10 0.30 0.60
Then the probability of getting value of X greater than 0 and less than 2 is
equal to :
1. 0.40
2. 1.00
3. 0.30
4. 0.10
The first two classes of a frequency distribution are 5.0-5.9 and 6.0-6.9. The
class boundaries of first class are 4.5-5.5
False
The type of sampling used in the statement-“A market researcher selects 100
drivers under 25 years of age and 1500 drivers over 25 years of age.” is
Systematic.
False
If „A‟ and „B‟ are two independent events and P (A) = 0.4, P (B) = 0.4. Then
P(A and B)= 0.8
False
The table below shows the number of college students that prefer a given
type of pizza:
Toppings First-Year Sophomore Junior Senior Totals
Cheese 3 7 10 12 32
Supreme 6 14 14 10 44
Veggie 11 9 6 8 34
Totals 20 30 30 30 110
A student is selected at random. What is the probability that the selected
student is either a junior or prefers a cheese pizza?
1. 1/3
2. 2/3
3. 26/55
4. 1/11
The pie chart below shows the percent of the total population of 12,300 of
Springfield living in the given types of housing:
Find the number of people who live in Townhouse family housing (round to
nearest whole number).
1. 4797 people
2. 246 people
3. 4059 people
4. 861 people
Let the sum of data values of a sample is 60. If the mean of these data
values is 3, then the no. of data values is
1. 20
2. 21
3. 19
4. 18
Construct a frequency distribution of the following data using classes 0-9, 10-
19,…so on
Data: 8, 15, 18, 22, 24, 25, 26, 33, 35, 42.
The constructed frequency distribution is:
1. Both Positively & Negatively skewed

2. Symmetric
3. Negatively skewed
4.Positively skewed
Temperatures on different days of months January and February in Riyadh

city are normally distributed with a mean of 150C and a standard deviation of
20C. Find the probability that 4 randomly selected days have an average
temperature that is less than 16.50C.
(Given that P(z < 1.50) = 0.9332, P(z < -1.50) = 0.0668)
1. 0.0015
2. 0.0668
3. 0.9332
4. 0.0413
State whether the following statement is True or False:

In drawing one card from a deck of 52 cards, the probability of drawing a
queen of diamonds is 1/52.
True
The mean of weekly sales for a company is $10000 with a standard deviation
of $450. Sales of $9050 for the past week is Unusually low.
True

For a normal distribution with 𝜇 = 100, 𝜎 = 1 and x = 150, the value of the
corresponding continuous random variable z is 50.
True
The random variable X has the following probability distribution:

x 0 1 2
P(x) k 3k 0.40
The value if k is 0.15
True
Let the maximum usual value of a data set is 42. If the mean of this set is 30
, then the standard deviation of the data set using Range rule of thumb is
A. 6
B.12
C. -12
D. -6
If the standard deviation of a binomial is 4 and probability of success p=0.2 ,

then the no. Of trials (n) is equal to
10
50
100
25
if A and B are mutually exclusive events, then ,

P(A or B ) = P(A).P(B)
P(A or B )= 0
P(A or b ) p(a)/p(b)
p(a or b )=p(A) +p(b)
A bag contains 8 red marbles, 4 blue marbles and 1 green marble. If one
marble is randomly selected from the bag, what is the probability that it‟s
NOT blue
4/13
1/13
13/9
9/13
At one college, gpa are normally distributed with a mean of 2.6 and a
standard deviation of 0.4 . According to empirical rule, 95% of students at the
college have a gpa between 1.8 and 3.4?
True
Assume that the thermometer readings are normally distributed with a mean
of 0 to the power of 0C and a standard deviation of 1 to the power of 0C for
freezing point of water. If one thermometer is randomly selected, find the
probability that it reads (at the freezing point of water) greater than -1.12
degrees.
(Given that P (z < 1.12) = 0.8686)
a. 0.1314
b. 0.8686
c. 0.2628
d. -0.1314
The z score of normal distribution is -1, the mean of the distribution is 40 and
the standard deviation of normal distribution is 2 , then the value of X for
normal distribution is :
A 30
B 40
C 42
D 38

Stat 101 Mid Term 2021

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Stat 101 Mid term 2021

If 𝑃 (Z < 1.00) = 0.8413, then 𝑃 (0 < Z < 1.00) is equal to 0.5000.

Listed below are the aptitude test scores of eleven children:

Petrol company is studying the number of monthly absences among its 60

1. Both Positively & Negatively skewed

Temperatures on different days of months January and February in Riyadh

State whether the following statement is True or False:

State whether the following statement is True or False:

The random variable X has the following probability distribution:

If the standard deviation of a binomial is 4 and probability of success p=0.2 ,

if A and B are mutually exclusive events, then ,

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