Statistics
PrincessT
statistics.docx
Statistics
Round 4 decimal places or give answers in scientific notation if necessary.
1. It is believed to be true that 15% of the U.S. population is left-handed. You randomly select 10 people. Let x represent the number of left-handers.
a. Construct a binomial distribution. (4 decimal places or give answers in scientific notation if necessary.)
b. Find the probability that exactly 8 people are left-handed.
c. Find the probability that less than 3 people are left-handed.
d. Find the probability that at least 1 person is left-handed.
e. Find the mean of the binomial distribution.
f. Find the standard deviation of the binomial distribution.
2. Complete the following sentence:
a. In our class data, we surveyed a TOTAL (males and females) of _____ (n) students and found that _____ (x) were left-handed.
b. Assuming that 15% of the population is left-handed, find the probability of surveying n students and getting exactly x “lefties” (Use the numeric values for n and x from our class data.)
c. We noted that an event that occurs with a probability of 0.05 or less is considered unusual. Is the number of “lefties” (x) in our data unusual? (State yes or no)
d. Assuming that 15% of the population is left-handed and we surveyed a total of (n) students, calculate the mean.
e. Using the mean from part d, should we have expected more or less “lefties” in our class data
|
Student # |
Gender |
Height |
Shoe |
Age |
Hand |
|
1 |
F |
68 |
8.5 |
20 |
R |
|
2 |
F |
60 |
5.5 |
27 |
R |
|
3 |
F |
64 |
7 |
31 |
R |
|
4 |
F |
67 |
7.5 |
19 |
R |
|
5 |
F |
65 |
8 |
20 |
R |
|
6 |
F |
66 |
9 |
29 |
R |
|
7 |
F |
62 |
9.5 |
30 |
L |
|
8 |
F |
63 |
8.5 |
18 |
R |
|
9 |
F |
60 |
5 |
19 |
L |
|
10 |
F |
63 |
7.5 |
42 |
R |
|
11 |
F |
61 |
7 |
20 |
R |
|
12 |
F |
64 |
7.5 |
17 |
R |
|
13 |
F |
65 |
8 |
19 |
R |
|
14 |
F |
68 |
8 |
19 |
R |
|
15 |
F |
63 |
7.5 |
18 |
R |
|
16 |
F |
62 |
7.5 |
19 |
R |
|
17 |
F |
64 |
7 |
23 |
R |
|
18 |
F |
72 |
11 |
28 |
R |
|
19 |
F |
62 |
8 |
20 |
R |
|
20 |
F |
59 |
6.5 |
29 |
R |
|
21 |
F |
64 |
8.5 |
19 |
R |
|
22 |
F |
68 |
9.5 |
23 |
R |
|
23 |
F |
65 |
9.5 |
34 |
R |
|
24 |
F |
63 |
8 |
27 |
R |
|
25 |
F |
65 |
8 |
23 |
R |
|
26 |
F |
62 |
7.5 |
30 |
R |
|
27 |
F |
67 |
7.5 |
31 |
L |
|
28 |
F |
66 |
9 |
37 |
R |
|
29 |
F |
61 |
6 |
24 |
R |
|
30 |
F |
61 |
6.5 |
46 |
R |
|
31 |
F |
68 |
8 |
20 |
R |
|
32 |
F |
63 |
7.5 |
42 |
R |
|
33 |
F |
63 |
5.5 |
33 |
R |
|
34 |
F |
58 |
5 |
20 |
R |
|
35 |
F |
65 |
8 |
44 |
R |
|
36 |
F |
69 |
9 |
28 |
R |
|
37 |
F |
68 |
9 |
20 |
R |
