statistics

posted by .

A realty company has 100 homes listed for sale. Some of these homes have fireplaces, some have garages, and some have neither. A breakdown is provided in the two-way classification table below.

Fireplace No Fireplace
Garage 50 30
No Garage 10 10

what is the probability that the home selected has a garage, given that it has a fireplace?


b. Are the events Fireplace and Garage independent? Show your proof.

2 marks c. Are the events F and G mutually exclusive? Why?

  • statistics -

    P(G and F)= P(G) P(F/G) =(80/100)(50/80)=0.8x0.625=0.5. a)They are not independent because the probabilities are not equal. P(F)= 60/100=.6, P(F/G)=60/80=0.75
    b)Events F and G can occur together because they are not mutually exclusive.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Engineering Economy

    Lennon Hearth Products manufactures glass door fireplace screens that have two types of mounting brackets for the frame. And L-shaped bracket is used for relatively small fireplace openings, and a U-shaped bracket is used for all others. …
  2. math

    In a subdivision, 67% of the homes have detached garages, 32% have a patio, and 13% have both. What is the probability that a house has a patio if you know that it has a detached garage?
  3. Math

    in a subdivison, 67% of the homes have detatched garages, 32% have a patio & 13% have both. What is the probability that a house has a patio if u know that it has a detached garage?
  4. math

    Q-2: In a subdivision, 67% of the homes have detached garages, 32% have a patio, and 13% have both. What is the probability that a house has a patio if you know that it has a detached garage?
  5. Math

    In a subdivison, 67% of homes have detached garages, 32% have a patio, and 13% have both. What is the probability that a house has a pation if you know that it has a detached garage?
  6. Math

    In a subdivison, 67% of homes have detached garages, 32% have a patio, and 13% have both. What is the probability that a house has a pation if you know that it has a detached garage?
  7. statistics

    39% of households have some sort of high speed internet service. 15 homes are selected at random. the probability that 5 homes will have high speed service is?
  8. Math (probability)

    Real Estate ads suggest that 50% of homes for sale have garages, 24% have swimming pools, and 11% have both. If a home for sale has a garage, what's the probability that it has a pool too?
  9. statistics

    You and your friend decide to get your cars inspected. You are informed that 70% of cars pass inspection. If the event of your car’s passing is independent of your friend’s car: iii. What is the probability that both of the cars …
  10. statistics

    Based on published real estate research, 65% of homes for sale have garages, 20% have swimming pools, and 18% have both features. i. Given that a home for sale has a garage, what’s the probability that it also has a pool

More Similar Questions