Answer:
x can be cancelled
Step-by-step explanation:
we are given
Firstly, we will factor numerator and denominator
and then we can factor it
now, we can factor denominator
now, we can replace it
we can see that
both terms are having x common
so, x can be cancelled
So,
x can be cancelled
Answer:
(a) The probability is 0.6514
(b) The probability is 0.7769
Step-by-step explanation:
If the number of accidents occur according to a poisson process, the probability that x accidents occurs on a given day is:
Where a is the mean number of accidents per day and t is the number of days.
So, for part (a), a is equal to 3/7 and t is equal to 1 day, because there is a rate of 3 accidents every 7 days.
Then, the probability that a given day has no accidents is calculated as:
On the other hand the probability that February has at least one accident with a personal injury is calculated as:
P(x≥1)=1 - P(0)
Where P(0) is calculated as:
Where a is equivalent to (3/7)(1/8) because that is the mean number of accidents with personal injury per day, and t is equal to 28 because 4 weeks has 28 days, so:
Finally, P(x≥1) is:
P(x≥1) = 1 - 0.2231 = 0.7769