Answer:
The probability that the next room will require less than 32 minutes to clean
0.222222 = 22.22%
The probability that the next room will require more than 30 minutes to clean.
0.833333 = 83.33%
The mean
36.5
Standard deviation of the distribution
26.92
Step-by-step explanation:
Total Probable Outcomes = 18
Event 1
Possible outcomes less than 32 = 32-28 = 4
Probability less than 32 = 4/18 = 2/9 = 0.222222
Event 2
Possible outcomes less than 32 = 45-30 = 15
Probability less than 32 = 15/18 = 5/6 = 0.833333
Mean
Mean = (28+29+30+31+32+33+34+35+36+37+38+39+40+41+42+43+44+45)/18 = 36.5
Standard deviation of the distribution
*MS Excel file is attached for solution.
Answer:
4/3 1.333 1 1/3
Step-by-step explanation:
1) 3+2+15=20
2) 3/4= 27/36 1/9=4/36
3) 27/36+4/36=31/36
4) 26/27=936/972 31/36= 637/972
5) 936/972 + 637/972= 1573/972= 1 601/972
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