Question 7 According to a survey of American households, the probability that the residents own 2...

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Question 7 According to a survey of American households, the probability that the residents own 2 cars if annual household income is over $50,000 is 80%. Of the households surveyed, 60% had incomes over $50,000 and 70% had 2 cars. Find the probability that the residents of a household own 2 cars and have an income over $50,000. Question 8 The probability that a new advertising campaign will increase sales is assessed as being 0.80. The probability that the cost of developing the new ad campaign can be kept within the original budget allocation is 0.40. Assuming that the two events are independent, find the probability that the cost is kept within budget or the campaign will increase sales. Question 5 Suppose that a couple is planning to have 3 children. Assume that boys and girls are equally likely and that the gender of any child is not influenced by the gender of any other child. Compute the following. a) The probability they will have exactly 2 boys. b) The probability they will have at least 1 girl. Question 6 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. Find the probability that house sales and interest rates will increase during the next 6 months. Question 7 According to a survey of American households, the probability that the residents own 2 cars if annual household income is over $50,000 is 80%. Of the households surveyed, 60% had incomes over $50,000 and 70% had 2 cars. Find the probability that the residents of a household own 2 cars and have an income over $50,000. Question 8 The probability that a new advertising campaign will increase sales is assessed as being 0.80. The probability that the cost of developing the new ad campaign can be kept within the original budget allocation is 0.40. Assuming that the two events are independent, find the probability that the cost is kept within budget or the campaign will increase sales. Question 5 Suppose that a couple is planning to have 3 children. Assume that boys and girls are equally likely and that the gender of any child is not influenced by the gender of any other child. Compute the following. a) The probability they will have exactly 2 boys. b) The probability they will have at least 1 girl. Question 6 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. Find the probability that house sales and interest rates will increase during the next 6 months.