Births are approximately Uniformly distributed between the 52 weeks of the year. They can be said...

Births are approximately Uniformly distributed between the 52 weeks of the year. They can be said to follow a Uniform distribution from 1 to 53 (a spread of 52 weeks). Round answers to 4 decimal places when possible.

The mean of this distribution is
The standard deviation is
The probability that a person will be born at the exact moment that week 52 begins is P(x = 52) =
The probability that a person will be born between weeks 20 and 34 is P(20<x<34)P(20<x<34) =
The probability that a person will be born after week 14 is P(x > 14) =
P(x > 6 | x < 19) =
Find the 23rd percentile.
Find the minimum for the upper quartile.

Solutions

Expert Solution

orchestra answered 1 year ago

Next > < Previous

Related Solutions

For each probability and percentile problem, draw the picture. Births are approximately uniformly distributed between the...

For each probability and percentile problem, draw the picture. Births are approximately uniformly distributed between the 52 weeks of the year. They can be said to follow a uniform distribution from one to 53 (spread of 52 weeks). part G: Enter an exact number as an integer, fraction, or decimal. P(2 < x < 9) = Part H: Find the probability that a person is born after week 42. (Enter an exact number as an integer, fraction, or decimal.) Part...

A doctor claims that the number of births by day of the week is uniformly distributed....

A doctor claims that the number of births by day of the week is uniformly distributed. To test the claim, you randomly select births from a recent year and record the day of the week the birth takes place. Use a 1% significance to test the claim. Round to the fourth as needed. Day Sun Mon Tues Wed Thurs Fri Sat Frequency 56 36 31 42 36 48 52 a) Type out the null and alternative hypothesis b) State you...

A doctor claims that the number of births by day of the week is uniformly distributed....

A doctor claims that the number of births by day of the week is uniformly distributed. To test this claim, you randomly select 700 births from a recent year and record the day of the week on which each takes place. The table shows the results. Day: Sunday Monday Tuesday Wednesday Thursday Friday Saturday Births: 68(100) 107(100) 117(100) 110(100) 114(100) 109(100) 75(100) Test the doctor's claim at the significance level a=0.05. a) What is the assumed proportion of births in...

A random variable x is uniformly distributed between 20 and 52 . What is the expected...

A random variable x is uniformly distributed between 20 and 52 . What is the expected value of x?

The weights of a certain dog breed are approximately normally distributed with a mean of 52...

The weights of a certain dog breed are approximately normally distributed with a mean of 52 pounds, and a standard deviation of 6.7 pounds. Answer the following questions. Write your answers in percent form. Round your answers to the nearest tenth of a percent. a) Find the percentage of dogs of this breed that weigh less than 52 pounds. b) Find the percentage of dogs of this breed that weigh less than 47 pounds. c) Find the percentage of dogs...

A person can choose to work any amount from 0 to 52 weeks per year at...

A person can choose to work any amount from 0 to 52 weeks per year at a wage of $1000 per week. (12 points) For each of the scenarios below, indicate whether the proposed change will increase or decrease the number of weeks that this person will work, or if the effect is uncertain. Justify your answer by stating whether the change in the budget constraint leads to an income effect, a substitution effect, or both, and draw the new...

for a firm that assumes 52 weeks a year, every 6 years there will be extra...

for a firm that assumes 52 weeks a year, every 6 years there will be extra days that accumulates 53 weeks in a year. which one of the following financial statement does this uneven number of week in a year affect the least a. balmace sheet b. income statement c. other compreohensive imcome statement

8. A swimming pool is filled at a rate that is uniformly distributed between 20 and...

8. A swimming pool is filled at a rate that is uniformly distributed between 20 and 26.3 gallons per minute. a. Draw a sketch that illustrates this particular situation. Please label all relevant information for this probability density function. (5 pts) b. What is the probability that the filling rate at any one time is between 21.3 and 24.6 gallons per minute? (6 pts) c. What is the median rate at which this swimming pool is filled? (4 pts) 8....

The price of a bond is uniformly distributed between $60 and $100. What is the probability...

The price of a bond is uniformly distributed between $60 and $100. What is the probability that the bond price will be at least $83? [5 pts.] What is the probability that the bond price will be between $55 to $90? [5 pts.] What is the probability that the bond price will be less than $85? [5 pts.] What is the probability that the bond price will be more than $92.5? [5 pts.] Determine the expected price of the bond....

The price of a bond is uniformly distributed between $60 and $100. What is the probability...

Subjects