Answer:

Hence, option C is correct.
Step-by-step explanation:
Given the expression

simplifying the expression

Apply radical rule: 

Apply radical rule: 



Apply radical rule: 

Therefore,

Hence, option C is correct.
It is given that number of accidents on a particular highway is average 4.4 per year.
a. Let X be the number of accidents on a particular highway.
X follows Poisson distribution with mean μ =4.4
The probability function of X , Poisson distribution is given by;
P(X=k) = 
b. Probability that there are exactly four accidents next year, X=4
P(X=4) = 
P(X=4) = 0.1917
Probability that there are exactly four accidents next year is 0.1917
c. Probability that there are more that three accidents next year is
P(X > 3) = 1 - P(X ≤ 3)
= 1 - [ P(X=3) + P(X=2) + P(X=1) + P(X=0)]
P(X=3) = 
P(X=3) = 0.1743
P(X=2) = 
P(X=2) = 0.1188
P(X=1) = 
P(X=1) = 0.054
P(X=0) = 
= 0.0122
Using these probabilities into above equation
P(X > 3) = 1 - P(X ≤ 3) = 1 - [ P(X=3) + P(X=2) + P(X=1) + P(X=0)]
= 1 - (0.1743 + 0.1188 + 0.054 + 0.0122)
P(X > 3) = 1 - 0.3593
P(X > 3) = 0.6407
Probability that there are more than three accidents next year is 0.6407
Answer:
x = 4
Step-by-step explanation:
5x + 5 = 25
-5 -5
5x = 20
---- ---
5 5
x = 4