Answer:
a. independent event P(AuB)=P(A)+P(B)
b. mutually exclusive event P(AuB) = P(A) + P(B) - P(AnB)
c. independent event P(A and B) = P(A).P(B)
d. complement P(A') = 1 - P(A)
Step-by-step explanation:
a. For two events A and B the union of the two sets is simply all the elements present in both set. This can be expressed as
P(AuB)=P(A)+P(B)
b. Two events are said to be mutually exclusive if they cannot occur at the same time. i.e no same element must be present in both events at a time. This can be expressed as
P(AuB) = P(A) + P(B) - P(AnB)
c. event A and event B are said to be independent if the incidence of event A does not affect the probability of the event B.
This can be expressed as
P(A and B) = P(A).P(B)
d. complement of an event are simply all the occurrence not in he set but in the universal set.
the complement of set A can be expressed as
P(A') = 1 - P(A)
Answer:
12
Step-by-step explanation:
by pythagoras’ theorem:
a^2 + b^2 = c^2
5^2 + b^2 = 13^2
b^2 = 144
b = 12
Answer:
Step-by-step explanation:
we know that
For every 1000-m increase in altitude, the pressure decreases about 11.9%
so
at an altitude of 2000 m, the pressure decreases about 2*11.9%=23.8%
therefore
Answer:
If
Jane= x
John = y
y+7= x
x-y=7 ---- (1)
x+y=43 --- (2)
(1) + (2),
x-y+x+y=7+43
2x=50
x= 50÷2
x= 25
substituting x= 25 in (2),
25+y=43
y= 43-25
y= 18
Jane is 25 years old and John is 18 years old.
Step-by-step explanation:
I believe the answer is 183
