10. If there are 25 people in a room, what is the probability that at least...
10. If there are 25 people in a room, what is the probability that at least two people have the same birthday?
11. A family has three children. Find the conditional probability of having two boys and a girl given that the first born is a boy.
Homework Answers
Add Answer to:
10. If there are 25 people in a room, what is the probability
that at least...
Assume that the probability of a boy being born is the same as the probability of a girl being born.
Assume that the probability of a boy being born is the same as the probability of a girl being born.(a) Find the probability that for family with four children, the two oldest children are girls.(b) Find the probability that for family with four children, exactly two of the children are boys.(c) Find the probability that for family with four children, at least two of the children are boys.
What is the probability that in a room of n people, at least three of them...
What is the probability that in a room of n people, at least three of them have the same birthday? Explain all the terms in your solution. What is the fewest amount of people such that the probability of at least three of these people having the same birthday is greater than 1/3? You will have to code your solution from the first question and plug in values for n. Include the code snipped you used to solve this.
a If there are 6 people in a room, find the probability at least 2 were...
a If there are 6 people in a room, find the probability at least 2 were born in the same month. b How many people must be in a room to guarantee that at least 2 were born in the same month? C. In a crowd of 3000 people, must at least 8 have the same birthday?
Assume that the probability of a boy being born is the same as the probability of...
Assume that the probability of a boy being born is the same as the probability of a girl being born. Find the probability that a family with three children will have the given composition.The two oldest children are girls.
2. There are 10 children in a given family. Assuming that a boy is as likely...
2. There are 10 children in a given family. Assuming that a boy is as likely to be born as a girl, what is the probability of the family having a) 5 boys and 5 girls; b) From 3 to 7 boys ?
2. Suppose that a family is going to keep having children until they have at least...
2. Suppose that a family is going to keep having children until they have at least one girl. Further suppose we can model successive births as boy and one independent trials with p P(girl) and P(boy) = 1 - p. Let Y denote the total number of children in the family. Compute, for y 2, (i) the probability that the first boy born is the y-th child born; [2] (ii the probability that the first girl born is the y-th...
A young couple falls in love and decides to marry and start a family. Assume that...
A young couple falls in love and decides to marry and start a family. Assume that with each birth, they are equally like to have a boy or girl child - and only one at a time (no twins or other multiple births). They decide to keep having children until they have one girl. 5. a. On average, how many children will be born to this family? b. If there are no girls in the first two births, what is...
Please read the following prompt carefully: "About 48% of all births result in a girl. Suppose...
Please read the following prompt carefully: "About 48% of all births result in a girl. Suppose a couple is planning to have three children." Determine the following values by rounding to the nearest indicated decimal place. Please type your solution in the text entry boxes provided. a. What is the probability of the first- born child being a boy? (Use the form X.XX) b. What is the probability of the first- born child being a girl? (Use the form X.XX)...
Please read the following prompt carefully: "About 48% of all births result in a girl. Suppose...
Please read the following prompt carefully: "About 48% of all births result in a girl. Suppose a couple is planning to have three children." Determine the following values by rounding to the nearest indicated decimal place. Please type your solution in the text entry boxes provided. a. What is the probability of the first-born child being a boy? (Use the form X.XX) b. What is the probability of the first-born child being a girl? (Use the form X.XX) c. What...
A couple is planning on having three children. You may assume that one child is born...
A couple is planning on having three children. You may assume that one child is born at a time (no twins or triplets), that each child was born two years apart from one another, and that it is equally likely for the couple to have a boy or a girl. Construct a tree diagram and show the sample space. a) What is the probability that the oldest child is a girl and the two younger children are boys? b) What...
a If there are 6 people in a room, find the probability at least 2 were born in the same month. b How many people must be in a room to guarantee that at least 2 were born in the same month? C. In a crowd of 3000 people, must at least 8 have the same birthday?
2. There are 10 children in a given family. Assuming that a boy is as likely to be born as a girl, what is the probability of the family having a) 5 boys and 5 girls; b) From 3 to 7 boys ?
2. Suppose that a family is going to keep having children until they have at least one girl. Further suppose we can model successive births as boy and one independent trials with p P(girl) and P(boy) = 1 - p. Let Y denote the total number of children in the family. Compute, for y 2, (i) the probability that the first boy born is the y-th child born; [2] (ii the probability that the first girl born is the y-th...
A young couple falls in love and decides to marry and start a family. Assume that with each birth, they are equally like to have a boy or girl child - and only one at a time (no twins or other multiple births). They decide to keep having children until they have one girl. 5. a. On average, how many children will be born to this family? b. If there are no girls in the first two births, what is...
Please read the following prompt carefully: "About 48% of all births result in a girl. Suppose a couple is planning to have three children." Determine the following values by rounding to the nearest indicated decimal place. Please type your solution in the text entry boxes provided. a. What is the probability of the first- born child being a boy? (Use the form X.XX) b. What is the probability of the first- born child being a girl? (Use the form X.XX)...
Please read the following prompt carefully: "About 48% of all births result in a girl. Suppose a couple is planning to have three children." Determine the following values by rounding to the nearest indicated decimal place. Please type your solution in the text entry boxes provided. a. What is the probability of the first-born child being a boy? (Use the form X.XX) b. What is the probability of the first-born child being a girl? (Use the form X.XX) c. What...
Most questions answered within 3 hours.
-
Group think happens when the members of the group become more
interested in agreeing with each...
asked 1 minute from now -
how might the HR Scorecard might be used to demonstrate value
creation that aligns with the...
asked 15 minutes ago -
If the racetrack publishes that the odds in favor of a horse
winning a race are...
asked 23 minutes ago -
2.
A particular sample of vinegar has a pH of 2.95.
Part A
If acetic acid...
asked 28 minutes ago -
1a.) A simple random sample of 100 Harvard undergraduates was
given a two-question astronomy test. 13%...
asked 33 minutes ago -
A spider hangs vertically from a thread of negligible mass. In
what situation, the tension in...
asked 34 minutes ago -
is an approach for addressing bottlenecks in a process or
system.
A. Utilization
B. Breakeven Analysis...
asked 55 minutes ago -
A 125 g sample of an unknown substance is heated to 93.6 °C and
then dropped...
asked 47 minutes ago -
How is a car horn like an earthquake? How is it different? Which
of the waves...
asked 51 minutes ago -
Currently, GH Co. sells 42,600 handbags annually at an average
price of $149 each. It is...
asked 1 hour ago -
A boy of mass 60 kg and a girl of mass 40 kg are together and...
asked 1 hour ago -
Which of the following best describes transferred-in costs?
A) they are the cost of transferring products...
asked 1 hour ago