SOLUTION: Choose a new vehicle sold in the United States in November 2014 at random. The probability distribution for the type of vehicle chosen is given below. Vehicle type and Probabili

Algebra.Com
Question 1174562: Choose a new vehicle sold in the United States in November 2014 at random. The probability distribution for the type of vehicle chosen is given below.
Vehicle type and Probability:
Passenger Car 0.46 - Pickup Truck 0.15 - SUV 0.10 - Crossover ? - Minivan 0.05
1) What is the probability that the vehicle is a crossover?
2) Given that the vehicle is not a passenger car, what is the probability that it is a pickup truck?
3) What is the probability that the vehicle is a pickup truck, SU, or minivan?
Using the same information as the last question. Suppose you select 3 vehicles at random. You want to know the probability that the vehicles are of three different types. Describe how you would carry out a simulation to help answer this question. Do not actually perform the simulation.
Found 2 solutions by ewatrrr, ikleyn:
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi
Passenger Car 0.46 - Pickup Truck 0.15 - SUV 0.10 - Crossover .24 - Minivan 0.05

P(crossover) = 1 - .46 -.15 - .10 - .05 = .24
P(pickup|Not car) = .15/.54
P(pickup truck, SU, or minivan) = .15 + .10 + .05

Select 3: the probability that the vehicles are of three different types
Yes,  5C3 0r 10 ways of selecting a trio from 5 types.
&
P(of each trio)... would be the product of their individual probabilities
Total Probability(vehicles are of three different types) would be the sum of
each of the possible trios. 

Wish You the Best in your Studies.


Answer by ikleyn(52787)   (Show Source): You can put this solution on YOUR website!
.

            The solution by  @ewatrrr to the last question is  ABSOLUTELY  WRONG.

            Below see my correct solution. 


Let the letters mean

    P - passenger car
    T - truck
    S - SUV
    C - crossover
    M - Minivan.


Then the probability under the last question is the sum of   = 10 addends

    p = p(PTS) + p(PTC) + p(PTM) + p(TSC) + p(TSM) + p(SCM) + . . . 


where all combinations of 5 letters taken 3 at a time are used.


Each p(XYZ) is the product of the 3 (three) relevant given probabilities.


So, according to the problem's instruction, I do not calculate, but only EXPLAIN how to build the calculation formula.



RELATED QUESTIONS

Smart TVs have seen success in the United States market. During the 2nd quarter of 2015... (answered by ikleyn)
The probability that a person in the United States has type O+ blood is 83%. Three... (answered by Fombitz)
Recent crime reports indicate that 3.1 motor vehicle thefts occur each minute in the... (answered by robertb)
In a recent year, the rate of U.S. home ownership was 65.9%. Choose a random sample of... (answered by ewatrrr)
the probability that a person in the united states has AB+ is 3%. five unrelated... (answered by stanbon)
The number of multiple births in the United States for a recent year indicated that there (answered by edjones)
Several territories and colonies today are still under the jurisdiction of another... (answered by Glaviolette)
Each year, the national Highway Traffic Safety Administration (NHTSA) together with the... (answered by solver91311)
The medal distribution from the 2004 Summer Olympic Games for the top 23 countries is... (answered by stanbon)