Answer: x=3 ==> 1st option
Step-by-step explanation:
FH=FG+GH
18=4x+2x
6x=18
x=3 ==> 1st option
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:
97
Step-by-step explanation:
Do 150 divided by 20 which is 7.5 then do 13 x 7.5 which is 97.5 BUT you cant win 97.5 times do I believe that it would be 97 (if that's not an option, do 98)
If the ratio is 4:3:2 each part of that ratio has a value of:
216/(4+3+2)
216/9=24
Since A pays four parts,
A pays 4*24=£96
