32% of employees judge their peers by the cleanliness of their workspaces. You randomly select & employees and ask them whether they judge their peers by the cleanliness of their workspaces. The random variable represents the number of employees who judge their peers by the cleanliness of their workspaces. Complete parts (a through (c) below. (a) Construct a binomial distribution using n-8 and p=0.32. P(x) APO) 0.44 0.35 0.3 0.25 0.24 0.15 0.1- X 0 1 5 6 7 8 (Type integers or decimals rounded to four decimal places as needed.) (b) Graph the binomial distribution using a histogram and describe its shape. Choose the correct graph below. OA. 0.00 2 ₂ 3 7 4 U Q a 62461 Describe the shape of the histogram. OA. Exactly symmetrical OB. Skewed right OC. Skewed left OD. None of these OB. 0.4 0.35 0.3 0.25 0.2 0.15 0.1 0.06 APX) (c) What values of the random variables would you consider unusual? Explain your reasoning. The values x=0, x=7,x-8, and x-would be unusual because their probabilities are Q 0.05. O C. 0.44 0.35 0.3 0.25 0.2 0.15 0.1 0.05 PO) Q M OD. 04 0.35 0.3 APD) 0.25 02 0.16 0.14 0.05 a a ✔

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32% of employees judge their peers by the cleanliness of their workspaces. You randomly select 8 employees and ask them whether they judge their peers by the cleanliness of their workspaces. The random variable represents the number of employees who judge their peers by the cleanliness of their workspaces. Complete parts (a)
through (c) below.
(a) Construct a binomial distribution using n=8 and p = 0.32.
P(x)
O A.
AP(x)
5
6
7
8
(Type integers or decimals rounded to four decimal places as needed.)
(b) Graph the binomial distribution using a histogram and describe its shape. Choose the correct graph below.
0.44
X
0
1
2
3
4
0.35-
0.3-
0.25-
0.2-
0.15-
0.1-
0.05-
0-
0 2 4 6
T
8
T
Q
Q
Describe the shape of the histogram.
O B.
AP(x)
0.4+
0.35-
0.3-
0.25-
0.2-
0.15-
0.1-
0.05-
0+
0 2 4 6 8
O A. Exactly symmetrical
O B. Skewed right
OC. Skewed left
O D. None of these
(c) What values of the random variables would you consider unusual? Explain your reasoning.
The values x=0, x=7₁ x=8, and x = would be unusual because their probabilities are
Q
Q
✔
▼0.05.
-C
O C.
AP(x)
0.4+
0.35-
0.3-
0.25-
0.2-
0.15-
0.1
0.05-
0-
0 2 4 6 8
Q
Q
O D.
AP(x)
0.4+
0.35-
0.3-
0.25-
0.2-
0.15-
0.1-
0.05-
0-
0 2 4 6 8
Q
Q
Transcribed Image Text:32% of employees judge their peers by the cleanliness of their workspaces. You randomly select 8 employees and ask them whether they judge their peers by the cleanliness of their workspaces. The random variable represents the number of employees who judge their peers by the cleanliness of their workspaces. Complete parts (a) through (c) below. (a) Construct a binomial distribution using n=8 and p = 0.32. P(x) O A. AP(x) 5 6 7 8 (Type integers or decimals rounded to four decimal places as needed.) (b) Graph the binomial distribution using a histogram and describe its shape. Choose the correct graph below. 0.44 X 0 1 2 3 4 0.35- 0.3- 0.25- 0.2- 0.15- 0.1- 0.05- 0- 0 2 4 6 T 8 T Q Q Describe the shape of the histogram. O B. AP(x) 0.4+ 0.35- 0.3- 0.25- 0.2- 0.15- 0.1- 0.05- 0+ 0 2 4 6 8 O A. Exactly symmetrical O B. Skewed right OC. Skewed left O D. None of these (c) What values of the random variables would you consider unusual? Explain your reasoning. The values x=0, x=7₁ x=8, and x = would be unusual because their probabilities are Q Q ✔ ▼0.05. -C O C. AP(x) 0.4+ 0.35- 0.3- 0.25- 0.2- 0.15- 0.1 0.05- 0- 0 2 4 6 8 Q Q O D. AP(x) 0.4+ 0.35- 0.3- 0.25- 0.2- 0.15- 0.1- 0.05- 0- 0 2 4 6 8 Q Q
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