Ask Question
25 August, 20:49

The probability that house sales will increase in the next 6 months is estimated to be 0.25. The probability that the interest rates on housing loans will go up in the same period is estimated to be 0.74. The probability that house sales or interest rates will go up during the next 6 months is estimated to be 0.89. The probability that both house sales and interest rates will increase during the next 6 months is

+1
Answers (1)
  1. 25 August, 20:51
    0
    The probability that both house sales and interest rates will increase during the next 6 months is 0.1.

    Step-by-step explanation:

    Consider the provided information.

    The probability that house sales will increase in the next 6 months is 0.25. The probability that the interest rates on housing loans will go up in the same period is 0.74. The probability that house sales or interest rates will go up during the next 6 months is 0.89.

    Therefore,

    Probability that house sales will increase = P (A) = 0.25

    Probability that the interest rates on housing loans = P (B) = 0.74

    The probability that house sales or interest rates will go up during = P (AUB) = 0.89

    The probability that both house sales and interest rates = P (A∩B)

    Now, use the formula:

    P (A∩B) = P (A) + P (B) - P (AUB)

    Substitute the respective value in the above formula.

    P (A∩B) = 0.25+0.74-0.89 = 0.1

    Hence, the probability that both house sales and interest rates will increase during the next 6 months is 0.1.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “The probability that house sales will increase in the next 6 months is estimated to be 0.25. The probability that the interest rates on ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers