One of the most famous probability calculations is called the "birthday problem". In probability theory, the birthday problem or birthday paradox concerns the probability that, in a set of n randomly chosen people, some pair of them will have the same birthday. Ignoring leap year and assuming that there are only 365 days in a

Determine the number of people needed to ensure that the probability at least two of them have the same day of the year as their birthday is at least 70 percent, at least 80 percent, at 90 percent, 95 percent, at least 98 percent, and at least 99 percent.

A group of 30 people gather in a room. What is the probability that at least 2 of these people have the same birthday? The year of birth is not considered; having the same birthday means two peple were born on the same day of the year.

See attached file.
You may use a calculator on this assignment. Please show work where applicable as this will help me when assigning partial credit.
Probability Questions
1. Find the probability of a couple having at least 1 girl among 7 children. Assume that boys and girls are equally likely and that the gender of a

2. Two fair dice are rolled. Find the probability that the sum of the two numbers is not greater than 5.
3. This spinner is spun 36 times. The spinner landed on A 6 times, on B 21 times, and on C 9 times. Compute the empirical probability that the spinner will land on B.
4. If a person is randomly selected, find the probab

Today is Sarah's 30th birthday. Five years ago, Sarah opened a brokerage account when her grandmother gave her $25,000 for her 25th birthday. Sarah added $2,000 to this account on her 26th birthday, $3,000 on her 27th birthday, $4,000 on her 28th birthday, and $5,000 on her 29th birthday.
Sarah's goal is to have $400,000

Insurance probability tables, as the one on the attachment, tabulates the average # of American males per 100,000 who will die during various age intervals. E.G., out of 100,000 male babies born alive, 1,527 will die before their first birthday. Answer following w/ table:
a.) What is the probability that a newborn male will