Answer:
a)
b)
c)
d)
Step-by-step explanation:
(a) <em>Compute the probability that a randomly selected person does not have a birthday on October 3</em>
if p = Probability that a randomly selected person has a birthday on October 3, then
the probability that a randomly selected person does not have a birthday on October 3 = 1-p
There are 365 days in a year, therefore p=
then 1-p=
(b)<em> </em><em>Compute the probability that a randomly selected person does not have a birthday on the 4th day of a month.</em>
similarly, if p = Probability that a randomly selected person has a birthday on the 4th day of a month, then
Probability that a randomly selected person does not have a birthday on the 4th day of a month is 1-p
Since a year has 12 months,
p =
1-p=
(c) <em>Compute the probability that a randomly selected person does not have a birthday on the 31st day of a month</em>
p=probability that a randomly selected person has a birthday on the 31st day of a month
<em>1-p</em><em> =</em>probability that a randomly selected person does not have a birthday on the 31st day of a month
Since a year has 7 months having 31 day,
p=
1-p=
(d) <em>Compute the probability that a randomly selected person was not born in March</em>
p= the probability that a randomly selected person was born in March
1-p<em> =</em> the probability that a randomly selected person was not born in March
Since March has 31 days,
p=
1-p=