Answer:
Therefore, the probability that at least half of them need to wait more than 10 minutes is <em>0.0031</em>.
Step-by-step explanation:
The formula for the probability of an exponential distribution is:
P(x < b) = 1 - e^(b/3)
Using the complement rule, we can determine the probability of a customer having to wait more than 10 minutes, by:
p = P(x > 10)
= 1 - P(x < 10)
= 1 - (1 - e^(-10/10) )
= e⁻¹
= 0.3679
The z-score is the difference in sample size and the population mean, divided by the standard deviation:
z = (p' - p) / √[p(1 - p) / n]
= (0.5 - 0.3679) / √[0.3679(1 - 0.3679) / 100)]
= 2.7393
Therefore, using the probability table, you find that the corresponding probability is:
P(p' ≥ 0.5) = P(z > 2.7393)
<em>P(p' ≥ 0.5) = 0.0031</em>
<em></em>
Therefore, the probability that at least half of them need to wait more than 10 minutes is <em>0.0031</em>.
Answer:
4x+8
6x-8
Step-by-step explanation:
a) 4(x + 2)=4x+8
b) 2(3x - 4) =6x-8
c) 4(3 - 6x) 2x + 18-2(2 – 3x)
99.2 = 100 + 1/2 (99.2 - 100) / 100 = 10 - 1/2 0.8/10 = 10 - 0.04 = 9.96
1. 4
2. 6
3. 2
I had got it wrong on study island and it gave me the right answer
The sum is zero so neither positive or negative
