Exclude leap years from the following calculations. (a) compute the probability that a randomly selected person does not have a birthday on october 3. (b) compute the probability that a randomly selected person does not have a birthday on the 4th day of a month. (c) compute the probability that a randomly selected person does not have a birthday on the 31st day of a month (d) compute the probability that a randomly selected person was not born in march. (a) the probability that a randomly selected person does not have a birthday on october 3 is (type an integer or a simplified fraction.) (b) the probability that a randomly selected person does not have a birthday on the 4th day of a month is (type an integer or a simplified fraction.) (c)the probability that a randomly selected person does not have a birthday on the 31st day of a month is □ (type an integer or a simplified fraction.) (d) the probability that a randomly selected person was not born in march is □ (type an integer or a simplified fraction.) enter your answer in each of the answer boxes.

a)

b)

c)

d)

Step-by-step explanation:

(a) Compute the probability that a randomly selected person does not have a birthday on October 3

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) Compute the probability that a randomly selected person does not have a birthday on the 4th day of a month.

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) Compute the probability that a randomly selected person does not have a birthday on the 31st day of a month

p=probability that a randomly selected person has a birthday on the 31st day of a month

1-p =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) Compute the probability that a randomly selected person was not born in March

p= the probability that a randomly selected person was born in March

1-p = the probability that a randomly selected person was not born in March

Since March has 31 days,

p=

1-p=

  the correct choice is marked

step-by-step explanation:

the first two graphs show multiple turning points. the last graphs matches the description in every detail.