<span>Given that one
hundred students are asked a survey question as they walk through the
front gate at their middle school.
This a representative sample of
the schools population because the sampling is random and is not biased.</span>
Answer:
The answers are;
a. The probability of more than one death in a corps in a year is 0.12521.
b. The probability of no deaths in a corps over five years is 4.736 × 10⁻².
Step-by-step explanation:
For Poisson Distribution we have
Pₓ(k) =
Where:
λ = Mean per unit time
k = Specified data point
t = time
e = Euler constant
a. The probability of more than one death in a corps in a year is given by
The mean of the Poisson distribution for one year is given as
λ·t = 0.61 × 1 = 0.61
Therefore by using complement principle, we have
P (X >1) = 1 - P(X = 0) - - P(X = 1)
=1- -
= 1 - 0.543 - 0.3314
= 0.12521
b. Here we have t = 5
Therefore the mean = λ·t = 0.61×5 = 3.05
The probability of there being no deaths in a corps for over five years is
P (X =0) = = 4.736 × 10⁻²
The probability is 4.736 × 10⁻² .
Hey there, x:252 miles, 1/4:18=x:52, from there we cross mutliply 18*x=1/4*252=18x=63, x=63/18=7/12=3.5. So, the anwer is 3.5 inches.
Answer:
c. 0.7404
Step-by-step explanation:
We can use Bayes Formula,
We know every single value of that expression except P(C). We can calculate C by dividing into 2 cases: if the customer is new or not.
By the total probability theorem, we know that P(C) = P(C|N)*P(N) + P(C|N')*P(N') = 0.5*0.8 + 0.7*0.2 = 0.4+0.14 = 0.54
We replace P(C) on the equation above and we obtain
Thus, P(N|C) = 0.7407. Answer c is correct
I hope this helped you!