Question

Please Show Calculations:

1. The table below provides the grade categories along with the number of students obtaining a particular grade in the last five years in a difficult English course at a Caribbean University.

Grade	Frequency
A	57
B	44
C	237
D	189
Fail	121

Based on the data, what is the probability that a currently enrolled randomly selected student will obtain an A?

a. 0

b. 0.16

c. 0.09

2. The random variable X denotes the number of times students at a certain university visit their Facebook page in a day. The table below gives the probability distribution of X

X	P(X = x)
0	0.001
1	0.08
2	0.03
3	0.25
4	0.209
5	0.4
6	0.03

If a student from the university is randomly selected, what is the probability that he or she visits Facebook more than 3 times a day?

a. 0.361

b. 0.25

c. 0.639

3. The random variable X represents the number of 500ml bottles of water drank by a sample of men in a particular day while Y represents the same information for women. The probability distributions of X and Y are given below.

X	P(X = x)	P(Y = y)
0	0.05	0.06
1	0.23	0.15
2	0.27	0.23
3	0.19	0.27
4	0.14	0.17
5	0.08	0.07
6	0.04	0.05

Based on the data, which of the following is true?

a. The average man drinks about 1,375ml of water a day

b. Men generally drink more water than women.

c. The average woman drinks about 105ml more water per day than the average man.

4. The table below provides the grade categories along with the number of students obtaining a particular grade in the last five years in a difficult English course at a Caribbean University.

Grade	Frequency
A	57
B	44
C	237
D	189
Fail	121

Based on the data, what is the probability that a currently enrolled randomly selected student will obtain a C or a D?

a. 0.29

b. 0.37

c. 0.66

5. Which of the following is a discrete random quantitative variable

a. X = the number of books in the bag of your best friend

b. X = the number of phones owned by a randomly selected taxi driver

c. X = the amount of money in the wallet of a randomly selected USC student

Answer 1

1) The total number of students is

The probability that a currently enrolled randomly selected student will obtain an A is .

Correct choice is c. 0.09.

2)The probability that he or she visits Facebook more than 3 times a day is

Correct choice is c. 0.639

3) The average amount of water drunk by men per day is

The average amount of water drunk by women per day is

So the correct choice is

c.The average woman drinks about 105ml more water per day than the average man

4) The number of students is

The probability that a currently enrolled randomly selected student will obtain a C or a D is

Correct choice is c. 0.66.

5) The discrete random quantitative variable are

a. X = the number of books in the bag of your best friend

b. X = the number of phones owned by a randomly selected taxi driver

Money can be decimal number (continuous).