Answer:
False.
Event A and event B are not independent.
Step-by-step explanation:
We know that event A and event B are
A= {2,4} and B= {2,4,5}.
If the following condition satisfies then event A and event B are independent:
P( A and B)= P(A)*P(B).
Now A and B=?
A and B=A∩B= {2,4} ∩ {2,4,5}
A and B=A∩B={2,4}
The single fair die results in 6 outcomes so, the sample space will contain 6 elements.
Thus,
P(A∩B)=2/6=1/3
P(A)=2/6=1/3
P(B)=3/6=1/2
P(A)*P(B)=1/3*1/2=1/6
As,
P(A∩B)≠P(A)*P(B)
1/3≠1/6
Thus, events A and event B are dependent.
Answer: 77 tickets
Step-by-step explanation: 175 - 98 = 77
Given:
The function is

The binomial
is a factor of f(x).
To find:
The value of
.
Solution:
If
is a factor of f(x), then
.
It is given that,
is a factor of f(x), then
.
We have,

Substituting x=4, we get




Now,





Therefore, the value of a is 5.
Answer:
He has $390 left in his account.
Step-by-step explanation: