HW7_10soln

# HW7_10soln - 10 20 30 40 Question 1 50 134 104 The number...

This preview shows pages 1–3. Sign up to view the full content.

10 20 30 40 50 134 104 44 14 Question 1. The number of miles my car can go on a gallon of gasoline is Normally distributed with a mean of 30 miles and a standard deviation of 5 miles. a) I currently have exactly one gallon in my tank, and have to travel 36 miles to my destination. What is the probability I make it to my destination before I run out of gas? Let X = the number of miles I go. P(I make it) = P(X>36) b) Find the distance D so that I have a 90% chance of traveling D miles before running out of gas (assuming again that I start with one gallon). c) Suppose I can change my mean mileage per gallon by adjusting the carburetor. What value should I set the mean to so that I have a 90% chance of making it 30 miles on one gallon of gas? Question 2 We have 50 fancy office chairs that we bought from a bankrupt bank, and we are going to sell them online. We assume the purchase requests will follow a Poisson process with rate 25/hour. To increase the hype for this sale, we will sell them “for a limited time only!!!”, and we get to decide how long (it will be a few hours). So, decide a sale time limit “t” such that the probability that we sell all 50 chairs is 95%. Round your final “t” value to the nearest minute. Remember to use the continuity correction.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
X = Number sold is Poisson( λ = α T=25T) Find T so that P(X≥50)=0.95 Question 3. Customers purchases of a certain small appliance follow a Poisson process with rate 3 per day. You may assume the store is open 24 hours per day, 7 days per week.
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 7

HW7_10soln - 10 20 30 40 Question 1 50 134 104 The number...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online