Question

We have 4 binomial distributions: B(200, .15), B(150, .8), B(25, .5), and a B(9, .07). Which of the these are symmetric or approximately symmetric

Answer #1

**On the basis of value of coefficient of
skewness:**

**The binomial distribution B(25, 0.5) is symmetric
because value of cofficient of skewness is equal to
zero.**

**The binomial distribution B(150, 0.8) is approximately
symmetric because value of coefficient is very near to
zero.**

Day
Units Inspected
Units Defective
1
200
6
2
150
2
3
250
8
4
150
0
5
200
3
6
200
4
7
250
9
8
150
1
9
250
7
10
150
2
11
100
1
12
250
6
13
200
4
14
100
0
15
250
7
16
100
1
17
200
5
18
200
3
19
250
10
20
200
4
21
200
4
22
100
0
23
250
7
24
200
4
25
100
1...

Consider two binomial distributions, each have n=15 trials. The
first distribution has the probability of success of each trial
with p1=0.80 and the second distribution has the probability of
success of each trial with p2=0.24. What do you observe about these
two binomial distributions?
Select one:
a. The first binomial distribution will have a lower expected
value than the second binomial distribution.
b. The shape of the first binomial distribution is skewed right,
while the second binomial distribution is skewed...

Suppose we have the following 25 residuals, 8, ?5, 7, 1, ?3, ?3,
3, ?5, 1, 9, 8, ?5, 7, 1, ?3, ?3, 3, ?5, 1, 9, 8, ?5, 7, 1, ?3 from
the linear model: y = ?0 + ?1x1 + ?2x2 + .
(a) Please use Durbin-Watson statistic to test H0 : ? = 0 at 5%
level of significance.
(b) Please use run test to examine if there are too many runs at
5% level of significance.

Suppose that you have the following data.
A: 4, 5, 6, 10
B: 5, 8, 9, 10, 11, 13
Find the coordinates of all the points that would appear on the
Q-Q plot. (The x-coordinates correspond to data set A.)

Give the numerical value of these expressions.
a) P(X > 4) if X~Binomial(8, 0.65).
b) P(5 < X ≤ 7) if X~Binomial(8, 0.65).
c) P(X > 3) if X~Poisson(7.8)

A: 8 6
5 8 9 5
3 7 9 3
5 7 9 3
6 4 5 8
5 3 9
B: 3 7
9 3 5 7
9 6 8 3
5 9 6 7
8 3 7 9
5 2 8
C: 5 9
6 7 8 3
7 9 5 2
8 8 6 5
8 9 5 4
7 8 5
Using the data from the Production Run Population table what
type of graph is not appropriate to...

Exhibit 4-9
Price of Good X
Quantity
Demanded
Quantity
Supplied
$10
220
110
11
200
150
12
180
180
13
150
210
14
120
240
15
80
290
Refer to Exhibit 4-9. Suppose that the government imposes a price
ceiling at a price of $11. How many fewer units would be exchanged
with the price ceiling than in a free market?

For the random variables described below, which have
binomial distributions?
You toss a balanced coin 50 times and count the number
of heads.
Replacement heart valves have a probability of 0.77 of
performing well for 15 years. It is reasonable to assume that
values in different patients fail (or not) independently of each
other. Let X be the number of patients in a group of 500 who will
need another valve replacement within 15 years.
You deal 10 cards from...

Problem 8-07
You are considering two stocks and have determined the following
information:
Stock A
Return
Probability of the Return
21
%
20
%
15
20
5
60
Stock B
Return
Probability of the Return
23
%
20
%
14
20
9
60
Which of the two stocks has the higher expected return? Round
your answers to two decimal places.
The return on Stock A: %
The return on Stock B: %
-Does Stock A or Stock B 3 have the higher...

MEDICATION ‘’A’’:
5
7
4
9
5
7
6
6
9
8
MEDICATION ‘’B’’:
3
2
4
5
4
4
3
5
3
4
The SQRT(1/nA
+ 1/nB) = SQRT
( 1/10 + 1/10) = SQRT (0.2) = __________
The 95% CI is therefore (MA – MB) ± t
α/2 * Sp *
SQRT(1/nA +
1/nB) = ______ ± _____
= _____<M<_____.

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