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:
8a - 6b
You have to substitute in you other numbers:
a = 4 and b = 3
Your new equation would be:
8(4) - 6(3)
Now solve:
8 x 4 = 32
6 x 3 = 18
New problem:
32 - 18
= 14
So your answer is 14.
Step-by-step explanation:
Hope this helps!
From your neighborhood softie :)
Answer:
50%
Step-by-step explanation:
There are 2 cards greater than 5 , that is 6 and 7 , then
P( greater than 5 ) = 
= 
= 50%
Answer:
Step-by-step explanation:
<h2>7 but th 3rd is silrt</h2>
