Mrs soko is expecting a baby. Assuming that babies are equally like at any time of the day or night. What is the probability that the baby...

a) will be born at the weekend?
b) will be born between 8a.m. and 5p.m. on a weekday?
c) will be born between 10p.m. and 6

a) 2/7

b) 5/7 * 9/24

c) assume 6 am for maximum inconvenience
so
8/24

Thank you

You are welcome.

To determine the probability of certain events related to the baby's birth, we need to consider the total number of possible outcomes and the number of favorable outcomes.

a) To find the probability that the baby will be born at the weekend, we need to calculate the number of days that fall within the weekend and divide it by the total number of days in a week.

There are 7 days in a week, and typically, weekends consist of Saturday and Sunday. So, the probability can be calculated as:

Probability = Number of days in the weekend / Total number of days in a week
Probability = 2 / 7

Therefore, the probability that the baby will be born at the weekend is 2/7 or approximately 0.286 (28.6%).

b) To determine the probability that the baby will be born between 8 a.m. and 5 p.m. on a weekday, we consider the number of hours in that time range on weekdays and divide it by the total number of hours in a day.

Assuming weekdays consist of Monday to Friday, we have 5 weekdays in a week. The time range between 8 a.m. and 5 p.m. is a total of 9 hours.
The total number of hours in a day is 24.

The probability can be calculated as:
Probability = Number of hours between 8 a.m. and 5 p.m. on weekdays / Total number of hours in a day
Probability = 9 / 24

Therefore, the probability that the baby will be born between 8 a.m. and 5 p.m. on a weekday is 9/24 or approximately 0.375 (37.5%).

c) To find the probability that the baby will be born between 10 p.m. and 6 a.m., we need to consider the number of hours in that time range and divide it by the total number of hours in a day.

The time range between 10 p.m. and 6 a.m. is a total of 8 hours.

The probability can be calculated as:
Probability = Number of hours between 10 p.m. and 6 a.m. / Total number of hours in a day
Probability = 8 / 24

Therefore, the probability that the baby will be born between 10 p.m. and 6 a.m. is 8/24 or approximately 0.333 (33.3%).