The proportion of vehicles which drive above the speed limit on a freeway is 75%
ID: 2505870 • Letter: T
Question
The proportion of vehicles which drive above the speed limit on a freeway is 75%. Suppose 6 vehicles are randomly clocked. The following is the probability distribution of the number of vehicles which drive above the speed limit.x f(x)
0 0.0002
1 0.0044
2
3
4
5
6 0.1780
8 The probability that x = 5 vehicles drive above the speed limit is f(x = 5) = _______
a 0.3560
b 0.3228
c 0.2821
d 0.2684
9 The probability that at most 4 vehicles drive above the speed limit is _______.
a 0.8306
b 0.7540
c 0.5829
d 0.4660
10 If the speeding driver is issued a $120 ticket, the mean ticket amount is ______.
a $540
b $510
c $480
d $450
The proportion of vehicles which drive above the speed limit on a freeway is 75%. Suppose 6 vehicles are randomly clocked. The following is the probability distribution of the number of vehicles which drive above the speed limit.
x f(x)
0 0.0002
1 0.0044
2
3
4
5
6 0.1780
8 The probability that x = 5 vehicles drive above the speed limit is f(x = 5) = _______
a 0.3560
b 0.3228
c 0.2821
d 0.2684
9 The probability that at most 4 vehicles drive above the speed limit is _______.
a 0.8306
b 0.7540
c 0.5829
d 0.4660
10 If the speeding driver is issued a $120 ticket, the mean ticket amount is ______.
a $540
b $510
c $480
d $450
Explanation / Answer
n = 6; p = 0.7500; q = 0.2500; P(x = 6) = nCx p^x (1-p)^(n-x) = 0.1779785
x P(x)
--- ---------
0 0.0002441
1 0.0043945
2 0.0329590
3 0.1318359
4 0.2966309
5 0.3559570
6 0.1779785
? = (n p) = 4.5000
? = (n p) = 4.5000
8 The probability that x = 5 vehicles drive above the speed limit is f(x = 5) = 0.355957Related Questions
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