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MATH 2300 026
Homework #6
Name___________________________________
Due on 3
rd
November
1.
When a coin tossed for three times, eight equally likely outcomes are possible. Let X denotes the total number of heads
obtained in the four tosses. Find the probability distribution of the random variable X. Leave your probabilities in
fraction form.
A) x P(X
=
x)
0 1/16
1 1/4
2 3/8
3 1/4
B) x P(X
=
x)
1 1/4
2 7/16
3 1/4
C) x P(X
=
x)
0 1/8
1 3/8
2 3/8
3 1/8
D) x P(X
=
x)
0 1/16
1 3/16
2 3/16
3 1/16
E) x P(X
=
x)
0 0
1 1/4
2 3/8
3 1/4
2.
Suppose that two balanced dice, a red die and a green die, are rolled. Let Y denote the value of
g − G
where G
represents the number on the green die and R represents the number on the red die. What are the possible values of the
random variable Y?
A.

5,

4,

3,

2,

1, 0, 1, 2, 3, 4, 5
B.

6,

5,

4,

3,

2,

1, 0, 1, 2, 3, 4, 5, 6
C.
0, 1, 2, 3, 4, 5, 6
D.
0, 1, 2, 3, 4, 5
3.
The random variable X is the number of siblings of a student selected at random from a particular secondary school. Its
probability distribution is given in the table.
Find the mean of the given probability distribution.
±
0
1
2
3
4
5
²(³ = ±)
´
µ¶
·¸
¶¹
¸
·º
´
¶¹
·
·º
·
µ¶
A) 1.438
B) 1.833
C) 2.5
D) 1.542
4.
The area that lies between
−1.10
and
−0.36
.
Use a table to find the specified area under the standard normal curve.
A) 0.4951
B)

0.2237
C) 0.2259
D) 0.2239
E) 0.7763
5.
Find the z

score for which the area under the standard normal curve to its left is
0.96
Use a table.
A)
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This note was uploaded on 12/12/2011 for the course STATS 2300 taught by Professor Abeysundara during the Fall '11 term at Texas Tech.
 Fall '11
 ABEYSUNDARA
 Statistics

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