Question 16 International Housewares Association (IHA) reported that 73% of all

Question

Question 16 International Housewares Association (IHA) reported that 73% of all US, households have ceiling fans. In addition, 77% of all US, households have an outdoor grill. Suppose 60% of all U.S. households have both a ceiling fan and an outdoor grill. A U.S. household is randomly selected. (Round your answers to 2 decimal places.) a. What is the probability that the household has a ceiling fan or an outdoor grill? p- b. What is the probability that the household has neither a ceiling fan nor an outdoor grill? p- c. What is the probability that the household does not have a ceiling fan and does have an outdoor grill? p d. what is the probability that the household does have a ceiling fan and does not have an outdoor grill? ?· Click if you would like to Show Work for this question: Qpen Show Work

Explanation / Answer

a) The probability that the household has a ceiling fan or an outdoor grill

= P(the household has a ceiling fan) + P(the household has an outdoor grill) - P(the household has a ceiling fan and an outdoor grill)

= 0.73 + 0.77 - 0.6

= 0.9

b) The probability that the household has neither a ceiling fan nor an outdoor grill

= 1 - P(the household has a ceiling fan and an outdoor grill)

= 1 - 0.6

= 0.4

c) The probability that the household does not have a ceiling fan and does have an outdoor grill

= P(the household has an outdoor grill) - P(the household has a ceiling fan and an outdoor grill)

= 0.77 - 0.6

= 0.17

d) The probability that the household does have a ceiling fan and does not have an outdoor grill

= P(the household has a ceiling fan) - P(the household has a ceiling fan and an outdoor grill)

= 0.73 - 0.6

= 0.13

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