Question

In: Statistics and Probability

1. Birthday Problem. In a group of 10 students, what is the probability that a. Nobody...

1. Birthday Problem. In a group of 10 students, what is the probability that
a. Nobody has birthday on the same date
b. At least two have same birthday
c. Exactly two have same birthday
d. Exactly three have same birthday
e. Two or three have same birthday
f. At most three have same birthday

Solutions

Expert Solution


Related Solutions

The birthday problem considers the probability that two people in a group of a given size...
The birthday problem considers the probability that two people in a group of a given size have the same birth date. We will assume a 365 day year (no leap year birthdays). Code set-up Dobrow 2.28 provides useful R code for simulating the birthday problem. Imagine we want to obtain an empirical estimate of the probability that two people in a class of a given size will have the same birth date. The code trial = sample(1:365, numstudents, replace=TRUE) simulates...
Conditional Probability Problem 1 Conditional probability In group of 200 university students, 140 are full time...
Conditional Probability Problem 1 Conditional probability In group of 200 university students, 140 are full time students (80 females and 60 males) and 60 no full time students (40 females and 20 males). Let    M=event a student is male    W=event a student is a female    F=event a student is full time    FC= event a student is not full time 1) Find the probability that a student is male and full time    2) Find the probability...
56% of CCBC students are women. Find the probability that in a group of 10 randomly...
56% of CCBC students are women. Find the probability that in a group of 10 randomly selected CCBC students 6 are women. 2.      Six cards are drawn from an ordinary pack without replacement. Find the probability of getting no spades? 3.      The lengths of arrows in an archery competition follow a normal distribution with mean 26.6 inches and standard deviation 3.5 inches. Find the probability that an arrow is less than 28.0 inches long. 4.      Find the mean and standard deviation of the...
1. Amy’s birthday is on December 6. What is the probability that at least one of...
1. Amy’s birthday is on December 6. What is the probability that at least one of the 40 students in ST 421/521 has the same birthday as Amy? (Provide a numerical expression, but don’t attempt to simplify. Assume there are 365 days in every year.)
Problem#5: The Birthday Problem (10pts) In your classroom there are 45 students, assume that none of...
Problem#5: The Birthday Problem (10pts) In your classroom there are 45 students, assume that none of them is born on February 29, and hence consider only common years (365 days) [do not consider leap years]. 1- Take a student randomly from the class, what is the probability that he have the same birthday as yours? 2- What is the probability that there is at least one student in the class having the same birthday as yours? 3-What is the probability...
What is birthday paradox?Explain with it an example.what is the probability of finding a collision for...
What is birthday paradox?Explain with it an example.what is the probability of finding a collision for an ideal 60 bit hash function?what is the main reason for this probability?
Amy’s birthday is on December 6. What is the probability that at least one of the...
Amy’s birthday is on December 6. What is the probability that at least one of the 40 other students has the same birthday as Amy? (Provide a numerical expression, but don’t attempt to simplify. Assume there are 365 days in every year.)
For years, parents, students, and teachers complained that nobody listened, that decisions were made without participation,...
For years, parents, students, and teachers complained that nobody listened, that decisions were made without participation, and that good ideas went unacknowl- edged. A needs analysis that involved a survey of teachers and students confirmed that these problems were widespread. Carlos DaSilva, who was recently appointed trainer at the school board and had a strong background in teaching, had to address the communications problem as his first assignment. He designed what he considered to be an excellent three- day communications...
A number between 1 and 10 is chosen at random . What is the probability of...
A number between 1 and 10 is chosen at random . What is the probability of getting a multiple of 5 or an even number?
If the scores of a group of students who are high in academic achievement (10 individuals)...
If the scores of a group of students who are high in academic achievement (10 individuals) on the academic self-   efficacy scale are as follows: 120-122-117-102-125-120-108-111-110-115 The scores of a group of students with low academic achievement (12 individuals) on the academic self-effectiveness scale are as follows: 72-69-72-75-77-80-68-75-77-87-70-85 Using spss, how to test the following hypothesis: There are no statistically significant differences between the mean scores of the sample individuals on the academic self-efficacy scale due to the difference in...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT