Answer:
a)0,45119
b)1
Step-by-step explanation:
For part A of the problem we must first find the probability that both people in the couple have the same birthday (April 30)
Now the poisson approximation is used
λ=nP=80000*1/133225=0,6
Now, let X be the number of couples that birth April 30
P(X ≥ 1) =
1 − P(X = 0) =
P(X ≥ 1) = 0,45119
B) Now want to find the
probability that both partners celebrated their birthday on th, assuming that the year is 52 weeks and therefore 52 thursday
Now the poisson approximation is used
λ=nP=80000*52/133225=31.225
Now, let X be the number of couples that birth same day
P(X ≥ 1) =
1 − P(X = 0) =
P(X ≥ 1) = 1
The parts of the sum are 55 and 80.
Step-by-step explanation:
Let,
'x' be the smaller part and
'y' be the greater part of the number.
The sum is x+y = 135. --------(1)
The greater part y = x+25. ---------(2)
Substitute (2) in (1),
⇒ x+(x+25) = 135
⇒ 2x+25 = 135
⇒ 2x = 110
⇒ x= 110/2
x = 55
The smaller part is 55.
Substitute x=55 in (2)
y = 55+25 = 80
The greater part is 80.
Answer:
It is a permutation problem. There are 2193360 possibilities of selecting 4 candidates from 40 applicants when order of selection is considered.
Step-by-step explanation:
In this case, the company will hire four <em>different</em> applicants from a group of 40 people for 4 <em>different</em> jobs. In this case, we need to consider the effect of order in the number of possibilities. Hence, we must use the permutation formula:
(1)
Where:
- Total of applicants.
- Selected applicants.
If we know that 
and 
, then the number of possibilities is:
There are 2193360 possibilities of selecting 4 candidates from 40 applicants when order of selection is considered.
Try 4.5 inches. You take 18, divide it by four you get 4.5. I divided by 4 because of the 1/4 inch by 1 foot. Minus 2 from 18, you get the next closest dividend of 4 and that's 16. 16 divided by 4 is 4. 2 are left over to make .5. you get 4.5
Answer:
D multiply second equation by 2
