Question

Suppose you have a class from 8:30-9:30 and another class from 9:30 to 10:30. Assuming you...

Suppose you have a class from 8:30-9:30 and another class from 9:30 to 10:30. Assuming you arrive to school at 8:30 with zero text messages on your cell phone and you receive 6 texts every 45 minutes on average find the following probabilities:

a) What is the probability that you receive at least 3 texts during your first class from 8:30-9:30?

b) What is the probability that you receive exactly 3 texts during your first class from 8:30-9:30 and exactly 3 texts during your second class from 9:30-10:30?

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Let X is a random variable shows the numebr of text messages in an hour. Since average number of messages per 45 minutes is 6 so number of messages per hour is

(a)

The probability that you receive at least 3 texts during your first class from 8:30-9:30 is

(b)

The probability that you receive exactly 3 texts during your first class from 8:30-9:30 is

The probability that you receive exactly 3 texts during your first class from 9:30-10:30 is

The probability that you receive exactly 3 texts during your first class from 8:30-9:30 and exactly 3 texts during your second class from 9:30-10:30 is

0.02863 * 0.02863 = 0.0008196769

Answer: 0.0008

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
If a phone call is received once every 10 minutes on average, during a one-hour interval,...
If a phone call is received once every 10 minutes on average, during a one-hour interval, 1) The probability that exactly one phone call is received during the first 30 minutes and exactly two calls in the last 30 minutes 2) The expected value of the distribution of the time of the arrival of the first call 3) The probability that the second phone call is received between 30-40 minutes 4) The probability that the third phone call is received...
You have an 8:00 a.m. class and based on your experience, you believe the amount of...
You have an 8:00 a.m. class and based on your experience, you believe the amount of time it takes you to travel from your home to your seat in the classroom follows a normal distribution with mean 26 minutes and standard deviation 4 minutes. Then, you have no desire to be late to class, but neither do you want to leave the house every day at 6:00 a.m. for your 8 o'clock class. You are willing to risk being late...
Using R to solve the problem, please copy and paste your code. Thanks. (You must use...
Using R to solve the problem, please copy and paste your code. Thanks. (You must use R) 8. (15 pts) Consider the following questions: give the distribution name, carefully define the random variables you use and find the final answer. (a) (3 pts) A professor has made 20 exams of which 8 are hard, 7 are reasonable, and 5 are easy. The exams are mixed up and the professor selects 4 of them at random to give to four sections...
Formulas that can be used to analyze these survey results Do you think that you can...
Formulas that can be used to analyze these survey results Do you think that you can safely text and drive? Always 4 Most of the time 4 Some of the time 10 Rarely 17 Never 65 Every time I drive Most of the times I drive Some of the times I drive Rarely Never In the last 30 days have you written text messages while driving?a (Links to an external site.)Links to an external site. 2 3 9 19 67...
Suppose buses arrive at 10:10 and 10:30 and you arrive at the bus stop randomly between...
Suppose buses arrive at 10:10 and 10:30 and you arrive at the bus stop randomly between 10:00 and 10:30 Let A be the amount of time in minutes between when you arrive. please Find CDF(Cumulative Distribution Functio) and PDF (probability density function) for A.
A student has a class that is supposed to end at 9:00AM and another that is...
A student has a class that is supposed to end at 9:00AM and another that is supposed to begin at 9:15AM. Suppose the actual ending time of the 9AM class is normally distributed random variable (X1) with a mean of 9:02 and a standard deviation of 2.5 minutes and that the starting time of the next class is also a normally distributed random variable (X2) with a mean of 9:15 and a standard deviation of 3 minutes. Suppose also that...
A student has a class that is supposed to end at 9:00AM and another that is...
A student has a class that is supposed to end at 9:00AM and another that is supposed to begin at 9:15AM.  Suppose the actual ending time of the 9AM class is normally distributed random variable (X1) with a mean of 9:02 and a standard deviation of 2.5 minutes and that the starting time of the next class is also a normally distributed random variable (X2) with a mean of 9:15 and a standard deviation of 3 minutes.  Suppose also that the time...
3. [8 marks] Suppose a survey is conducted by Ipsos, a Canadian market research polling firm,...
3. [8 marks] Suppose a survey is conducted by Ipsos, a Canadian market research polling firm, on user satisfaction with cell phone coverage across the country. They sample 10 customers at random without replacement. Assume all sampled customers are independent. Suppose 30% of users nationwide are satisfied with their cell phone coverage. a) [5 marks] Calculate the probability that 3 or more of the 10 randomly sampled cell phone customers are satisfied with their cell phone coverage. b) [1 mark]...
Suppose that the bus of the sultana has a capacity of 8 passengers and needs At...
Suppose that the bus of the sultana has a capacity of 8 passengers and needs At least 5 passengers arrive to make the trip from Mayagüez to San Juan. The clients They arrive on average at the rate of 1 customer every 5 minutes. a) What is the probability that the bus will go to San Juan in 30 minutes. (suggestion you can use one of the following distributions: the Exponential or the Poisson). b) What is the probability that...
Problem 4) In 2012, the percent of American adults who owned cell phones and used their...
Problem 4) In 2012, the percent of American adults who owned cell phones and used their cell phone to send or receive text messages was at an all-time high of 80%. Assume that 80% refers to the population parameter π. More recently in 2016, a polling firm contacts a simple random sample of 110 people chosen from the population of cell phone owners. The firm asks each person “do you use your cell phone to send or receive texts? Yes...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT