Question

Assume that a person can be born on a Monday with probability 1/3 and with equal...

Assume that a person can be born on a Monday with probability 1/3 and with equal probability any other day of the week. What is the probability that among 4 randomly selected people, two were born on the same day and the other two in two other days (for instance, two on Tuesday, one on Saturday and one on Friday)

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
10. (17 pts) A person wants to determine whether the proportion of children born each day...
10. (17 pts) A person wants to determine whether the proportion of children born each day of the week is the same or not in a city; that is, the expected relative frequencies are as follows: Day of Week Relative Frequency Sunday 1/7 Monday 1/7 Tuesday 1/7 Wednesday 1/7 Thursday 1/7 Friday 1/7 Saturday 1/7 The person randomly selected a sample of 500 children and the result is as follows: Day of Week Frequency Sunday 57 Monday 78 Tuesday 74...
A plumber knows that the probability he will get called on any given weekday (Monday through...
A plumber knows that the probability he will get called on any given weekday (Monday through Friday) is 0.95. What is the probability that he only gets called on one week day? A plumber knows that the probability he will get called on any given weekday (Monday through Friday) is 0.95. What is the probability that he only gets called three week days or more? X is a random variable that is normally distributed with mean 100 and standard deviation...
Records of randomly selected births were obtained and categorised based on the day of the week...
Records of randomly selected births were obtained and categorised based on the day of the week the birth occurred, which is provided below. Since babies are unaware of the tradition work week, it would be reasonable to assume the distribution of births would occur equally on each of the days of the week. At 1% level of significance, test the claim. Can you think of an explanation for the result? Day Sunday Monday Tuesday Wednesday Thursday Friday Saturday Number of...
What is the probability that, in a group of 7 people, at least two were born...
What is the probability that, in a group of 7 people, at least two were born in the same month (disregard day and year)? Assume each person is as likely to be born in one month as another.
Use the given categorical data to construct the relative frequency distribution. Natural births randomly selected from...
Use the given categorical data to construct the relative frequency distribution. Natural births randomly selected from four hospitals in a highly populated region occurred on the days of the week​ (in the order of Monday through​ Sunday) with the frequencies 54​, 63​, 71​, 57​, 55​, 45​, 55. Does it appear that such births occur on the days of the week with equal​ frequency? Construct the relative frequency distribution. Day Relative Frequency Monday nothing​% Tuesday nothing​% Wednesday nothing​% Thursday nothing​% Friday...
So, the brewery selected it’s place and now needs to hire folks. After some testing, they...
So, the brewery selected it’s place and now needs to hire folks. After some testing, they expect to have approximately 2,000 customers per week. Since they will be open 7 days a week, they need to hire people to help serve their beer. They know that Friday and Saturday will drive sales. Between these 2 days, they will get 50% of their weekly sales. So, Friday has 25% of sales and Saturday has 25% of the sales. As for Sunday...
MW is a large discount store that operates seven days per week. The store needs the...
MW is a large discount store that operates seven days per week. The store needs the following number of full-time employees working each day of the week. Sunday Monday Tuesday Wednesday Thursday Friday Saturday num of employees 188 88 112 140 136 172 212 Each employee must work five consecutive days each week and then have two days off. For example, any employee who works Sunday through Thursday has Friday and Saturday off. The store currently has a total of...
Assume that there is an equal chance of being born on an odd or even numbered...
Assume that there is an equal chance of being born on an odd or even numbered day. A family has two children. If one child was born on an odd date, the probability that other child was also born on an odd date is?
Ignore, for simplicity, the possibility of being born on February 29th. Assume that a person is...
Ignore, for simplicity, the possibility of being born on February 29th. Assume that a person is just as likely to be born on any one date as on any other date, excluding February 29th, of course. Suppose 253 people are picked at random. (We use 253 since e” = 1/2 almost exactly. Use 1/2 in your computations.) c. What is the expected number of different birthdays of the group? d. The expected number of days which are each the birthday...
Randomly selected birth records were​ obtained, and categorized as listed in the table to the right....
Randomly selected birth records were​ obtained, and categorized as listed in the table to the right. Use a 0.01 significance level to test the reasonable claim that births occur with equal frequency on the different days of the week. How might the apparent lower frequencies on Saturday and Sunday be​ explained? Day Sunday Monday Tuesday Wednesday Thursday Friday Saturday Number of Births 50 58 65 64 59 56 35 Determine the null and alternative hypotheses: Calculate the test statistic X2...