Answer:
Every 30 hours
Step-by-step explanation:
Train A arrives at central station on the hour and every 12 minutes, you mean with that on every 72 minutes
Train B arrives at central station on the hour and every 15 minutes, you mean with that on every 75 minutes
In accordance with the given, the smallest number containing numbers 72 and 75 is 1800 minutes.
When we convert this number of minutes in hours we get:
1800 / 60 = 30 hours
God with you!!!
Answer:2.50
Step-by-step explanation:
Answer:
28
Step-by-step explanation:
4,8,12,16,20,24,28. +4 every time
Answer:
a) The expected number of goals team A will score is 5.1
b) The probability that team A will score a total of 5 goals is 0.1147
Step-by-step explanation:
Let X be the amount of goals scored by team A in both matches. Let X1 and X2 be the total amount of goals team A scores in match 1 and 2 respectively, then X = X1+X2, and also
a)
E(X) = E(X1+X2) = E(X1)+E(X2) = 0.6*2+0.4*3 + 0.3*2+0.7*3 = 5.1
b) In order for X to be equal to 5 we have 5 possibilities
- X1 is 0 and X2 is 5
- X1 is 1 and X2 is 4
- X1 is 2 and X2 is 3
- X1 is 3 and X2 is 2
- X1 is 4 and X2 is 1
- X1 is 5 and X2 is 0
Let T1 be a poisson distribution with mean λ = 2, then






Lets do the same with a Poisson distribution T2 with mean λ = 3


Now, we are ready to compute the probability that X is equal to 5.


We can conclude that
P(X = 5) = 0.00823+0.03214+0.05317+0.0471+0.0225+0.0047 = 0.1147
The probability that team A will score a total of 5 goals is 0.1147