Same as the last need this done soon. Just circle the answers in order please!

A college-run cafeteria in a student dorm offers a wide variety of meal

options. Assume that the calorie count per meal varies from 400 to 900 calories

and that all of these calorie outcomes are equally likely.

(1) What is the support for the distribution for X = calorie count

(a) X_U X_L = 100 calories (c) X_U X_L = 500 calories

(b) X_U X_L = 400 calories (d) X_U X_L = 900 calories

(2) What is the probability density function for this process

(a) P(X) = 1/500 = .002 (c) P(X) = 1/400 = .025

(b) P(X) = 1/1,000 = .001 (d) P(X) = 1/900 = .011

(3) In predicting the next 100 meals, what proportion (%) and count are

expected to have more than 700 calories?

(a) 10 & 10% (c) 25 & 25% (e) 40 & 40%

(b) 20 & 20% (d) 30 & 30%

(4) What is the probability that any particular meal has a calorie count that is

less than 500 calories?

(a) 10% (c) 25% (e) 40%

(b) 20% (d) 30%

(5) What is the probability that any particular meal has a calorie count

between 500 and 800 calories?

(a) 30% (c) 50% (e) 80%

(b) 40% (d) 60%

(6) For someone very anxious about gaining weight, what is the likelihood

that one of the meals will exceed 1,200 calories?

(a) 0% (b) 5% (c) 10% (d) 20%

Chapter 6-1: The Uniform Probability Model QUIZ

Upon arrival at the main concourse of an airport, consider the full processing

and waiting time until a passenger is physically seated on their airplane. This

would include the needed time to obtain a boarding pass, check luggage, pass

security screening, walk to the flight gate, board the plane, advance to ones

assigned seat and store overhead luggage. Assume that this full passenger

processing time has a Uniform distribution across a time interval with equally

likely outcomes ranging from 40 minutes to 120 minutes. Define:

X = length of full airport passenger processing time

X ~ UNI[ X_L = 40 ; X_U = 120 }

[Q#1] What is the Support the range of possible outcome values for

this Uniform distribution? What is: X_U X_L = ?

(a) 120 minutes (c) 60 minutes

(b) 80 minutes (d) 40 minutes

[Q#2] What is the Probability Density Function (pdf) for this distribution?

(a) P(X) = .050 (c) P(X) = .020 (e) P(X) = .005

(b) P(X) = .040 (d) P(X) = .0125

[Q#3] How likely is it that the processing time for a flight will exceed

X=90 minutes? Alternatively, for a frequent flier, what is the expected

proportion of flights that will equal or exceed 90 minutes?

What is the probability: Prob( X >= 90 | X ~ UNI ; X_L=40 ; X_U=120 ) = ?

(a) 0% (c) 30% (e) 50%

(b) 25% (d) 37.5%

[Q#4] How likely is it that the processing time for a flight will be less than

X=60 minutes ( 1 hour ) ? Alternatively, for a frequent flier, what is the

expected proportion of flights that will equal or fall below 60 minutes?

What is the probability: Prob( X <= 60 | X ~ UNI ; X_L=40 ; X_U=120 ) = ?

(a) 0% (c) 30% (e) 50%

(b) 25% (d) 37.5%

[Q#5] How likely is that the processing time for a next flight will require at

least X_a=60 minutes but no more than X_b=100 minutes? Alternatively,

for a frequent flier, what is the expected proportion of flights that will

fall within this 40 minute range? What is the probability:

Prob( 60 <= X <= 100 | X ~ UNI ; X_L=40 ; X_U=120 ) = ?

(a) 0% (c) 30% (e) 50%

(b) 25% (d) 37.5%

[Q#6] How likely is that the full passenger processing time will require

less than 30 minutes? Alternatively, for a frequent flier, what is the

expected proportion of flights that will take less than 30 minutes?

What is the probability: Prob( X <= 30 | X ~ UNI ; X_L=40 ; X_U=120 ) = ?

(a) 0% (c) 30% (e) 50%

(b) 25% (d) 37.5%