Answer:
Step-by-step explanation:
We can set up the following system of equations:
, where
is the number of dimes she has and
is the number of nickels she has.
Multiplying the second equation by -5 and adding both equations lets us isolate and solve for :
Plugging into any of the two equations will let us solve for
:
.
Therefore, she has 14 nickels.
Answer:
(a) The probability of more than one death in a corps in a year is 0.1252.
(b) The probability of no deaths in a corps over 7 years is 0.0130.
Step-by-step explanation:
Let <em>X</em> = number of soldiers killed by horse kicks in 1 year.
The random variable .
The probability function of a Poisson distribution is:
(a)
Compute the probability of more than one death in a corps in a year as follows:
P (X > 1) = 1 - P (X ≤ 1)
= 1 - P (X = 0) - P (X = 1)
Thus, the probability of more than one death in a corps in a year is 0.1252.
(b)
The average deaths over 7 year period is:
Compute the probability of no deaths in a corps over 7 years as follows:
Thus, the probability of no deaths in a corps over 7 years is 0.0130.