Question

Dr. Sabbaghi is taking two flights today. The flight time for the first flight is Normally...

Dr. Sabbaghi is taking two flights today. The flight time for the first flight is Normally distributed with a mean of 90 minutes and a standard deviation of 3 minutes. The flight time for the second flight is Normally distributed with a mean of 110 minutes and a standard deviation of 4 minutes. His total flight time today has what type of distribution with what mean and standard deviation?

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

Homework Answers

Answer #1

theory:-

if X1 and X2 be two independent normal variables such that,

,  

then the sum of the two random variable:-

]

SOLUTION :-

X1 : flight time for the first flight

X2 : flight time for the second fight.

according to the problem,

the total flight time today will follow :-

His total flight time today has normal distribution with mean 200 and standard deviation 5.

*** if you have any doubt regarding the problem please write it in the comment box.if you are satisfied please give me a LIKE if possible..

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
The time taken for a standard flight from Melbourne to Sydney is normally distributed with a...
The time taken for a standard flight from Melbourne to Sydney is normally distributed with a mean of 75mins and a standard deviation of 7mins. a) What is the probability of a flight taking longer than 80mins? b) If there are 500 flights from Melbourne to sydney each week, how many of these will take more than 80mins?
The following data represent the flight time​ (in minutes) of a random sample of seven flights...
The following data represent the flight time​ (in minutes) of a random sample of seven flights from one city to another city. 286 269 259 265 256 263 257 Compute the range and sample standard deviation of flight time. The range of flight time is __?__minutes. The sample standard deviation of flight time is __?__minutes. ​(Type an integer or decimal rounded to one decimal place as​ needed.)
The amount of time between taking a pain reliever and getting relief is normally distributed with...
The amount of time between taking a pain reliever and getting relief is normally distributed with a mean of 25 minutes and a standard deviation of 5 minutes. Find the probability that the time between taking the medication and getting relief is as follows. (Round your answers to four decimal places.) (a) at least 31 minutes (b) at most 20 minutes
The amount of time between taking a pain reliever and getting relief is normally distributed with...
The amount of time between taking a pain reliever and getting relief is normally distributed with a mean of 23 minutes and a standard deviation of 7 minutes. Find the probability that the time between taking the medication and getting relief is as follows. (Round your answers to four decimal places.) (a) at least 31 minutes (b) at most 20 minutes
The amount of time between taking a pain reliever and getting relief is normally distributed with...
The amount of time between taking a pain reliever and getting relief is normally distributed with a mean of 25 minutes and a standard deviation of 5 minutes. Find the probability that the time between taking the medication and getting relief is as follows. (Round your answers to four decimal places. (a) at least 31 minutes (b) at most 22 minutes
Suppose that an airline quotes a flight time of 2 hours, 10 minutes between two cities....
Suppose that an airline quotes a flight time of 2 hours, 10 minutes between two cities. Furthermore, suppose that historical flight records indicate that the actual flight time between the two cities, x, is uniformly distributed between 2 hours and 2 hours, 20 minutes. Letting the time unit be one minute, (a) Calculate the mean flight time and the standard deviation of the flight time. (Round your answers to 4 decimal places.) μx σx (b) Find the probability that the...
1. The time it takes to eat lunch is normally distributed with a mean of 11...
1. The time it takes to eat lunch is normally distributed with a mean of 11 minutes and a standard deviation of 3 minutes. On average how many people from a sample of 50 would take more than 14 minutes to eat lunch? 2. A data set has is skewed right with a mean of 200 and a standard deviation of 80. I take 4500 samples of size 10 from this data set. Then the sampling distribution of sample means...
Problem 6 : The time to fly between New York City and Chicago is uniformly distributed...
Problem 6 : The time to fly between New York City and Chicago is uniformly distributed with a minimum of 100 minutes and a maximum of 150 minutes. 1.What is the probability that a flight takes less than 135 minutes? A-P(X<135)=0.5 B-P(x<135) = 0.7 C-P(X<135)=0.135 D-P(X<135)=0.15 2.What is the probability that a flight takes less than 110 minutes? A-P(x<110) = 0.2 B-P(X<110)=0.1 C-P(X<110)=1.1 D-P(X<110)=0 3.What is the probability that a flight takes more than 140 minutes? A-P(x> 140)=0.14 B-P(x> 140)=1.4...
An airline claims that its flights are consistently on time with an average delay of at...
An airline claims that its flights are consistently on time with an average delay of at most 11 minutes. It claims that the average delay is so consistent that the variance is no more than 92 minutes. Doubting the consistency part of the claim, a disgruntled traveler calculates the delays for his next 25 flights. The average delay for those 25 flights is 23 minutes with a standard deviation of 17 minutes. Assume α = 0.05. Is the traveler disputing...
The number of flights taking off from Barcelona el Prat airport between 1:00?.?. and 12:00p.?. was...
The number of flights taking off from Barcelona el Prat airport between 1:00?.?. and 12:00p.?. was observed and recorded on every weekday morning of year 2019. The statistics revealed that the number of flights are distributed according to a Gaussian distribution with mean 720 and standard deviation 40. Answer the following items and justify your answer with a plot illustrating the statistical information. What is the probability that on a weekday, between 1am an12pm, the number of flights is between...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT