Answer:
Step-by-step explanation:
Leaving leap years, a year contains 365 days.
For a group of 100 people, each person is independent of the other and probability of any day being his birthday has a chance of
a) Probability that exactly 3 people have same birthday = 
Each day is independent of the other
And hence no of days having exactly 3 persons birthday out of 100 persons is binomial with n = 365 and p =
Expected value of days = np = 
b) Distinct birthdays is binomail with p =1/365 and n = 365
Hence
expected value = np =1
Answer:
c
Step-by-step explanation:
Answer:
c1) adjacent
c2) not adjacent
c3) adjacent
c4) not adjacent
c5) adjacent
c6) not adjacent
d1) 20°
Complement: 90° - 20° = 80°
Supplement: 180° - 20° = 160°
d2) 77°
Complement: 90° - 77° = 13°
Supplement: 180° - 77° = 103°
d3) 101°
Complement: doesn't have a complement.
Supplement: 180° - 101° = 79°
d4) 90°
Complement: 90° - 90° = 0°
Supplement: 180° - 90° = 90°
d5) 96°
Complement: doesn't have a complement
Supplement: 180° - 96° = 84°
d6) x
Complement: 90° - x
Supplement: 180° - x
d7) y
Complement: 90° - y
Supplement: 180° - y
You scored 18 points in your fourth game because if you played 4 games and got 12 points each game that equals 48 points all together and if the average is 10 points for the first 3 games that equals 30 points for the three games so 48-30=18
