Answer all questions and show all working: A religious research center in a popular city conducted a study to observe the extent to which residents of the city parti …

Answer all questions and show all working:

A religious research center in a popular city conducted a study to observe the extent to which residents of the city participate in Lenten fasting. 56% percent of those surveyed were Christians. 54% of all respondents fasted for Lent of which 25.926% were not Christians. Assuming that the study was unbiased, what is the probability that a randomly selected person from this city is Christian given that the individual did not fast for Lent?

a) 0.35

b) 0.16

c) 0.29

A religious research center in a popular city conducted a study to observe the extent to which residents of the city participate in Lenten fasting. 56% percent of those surveyed were Christians. 54% of all respondents fasted for Lent of which 25.926% were not Christians. Assuming that the study was unbiased, what is the probability that a randomly selected person from this city is non-Christian?

a) 0.44

b) 0.26

A religious research center in a popular city conducted a study to observe the extent to which residents of the city participate in Lenten fasting. 56% percent of those surveyed were Christians. 54% of all respondents fasted for Lent of which 25.926% were not Christians. Assuming that the study was unbiased, what is the probability that a randomly selected person from this city is non-Christian if we know that the individual fasted for Lent?

a) 0.65

b) 0.26

c) 0.16

A religious research center in a popular city conducted a study to observe the extent to which residents of the city participate in Lenten fasting. 56% percent of those surveyed were Christians. 54% of all respondents fasted for Lent of which 25.926% were not Christians. Assuming that the study was unbiased, what is the probability that a randomly selected person from this city is Christian or fasted for Lent?

a) 0.7

b) 0.95

c) 0.56

A survey conducted by the Segal Company of New York found that in a sample of 189 large companies, 40 offered stock options to their board members as part of their non-cash compensation packgaes. For small-to-mid-sized companies, 43 of the 180 surveyed indicated that they offer stock options as part of their noncash compensation packages to their board members. If a randomly selected company offered stock options to their board members, what is the probability that it is a large company?

a) 0.48

b) 0.37

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:

a) 0.1

c) 0.9

Customers at a popular roti shop were asked whether they preferred their roti with soft drink or juice. 69% said that they preferred their roti with soft drink. 55% of the respondents were male. 89.09% of the males preferred their roti with soft drink. What is the probability that a randomly selected customer is a female who prefers their roti with juice?

a) 0.18

b) 0.25

c) 0.55

Customers at a popular roti shop were asked whether they preferred their roti with soft drink or juice. 69% said that they preferred their roti with soft drink. 55% of the respondents were male. 89.09% of the males preferred their roti with soft drink. What is the probability that a randomly selected customer is female?

a) 0.45

b) 0.35

c) 0.2

A survey conducted by the Segal Company of New York found that in a sample of 189 large companies, 40 offered stock options to their board members as part of their non-cash compensation packgaes. For small-to-mid-sized companies, 43 of the 180 surveyed indicated that they offer stock options as part of their noncash compensation packages to their board members. If a randomly selected company is a large company, what is the probability that it offered stock options?

a) 0.6

b) 0.2116

c) 0.5

A survey conducted by the Segal Company of New York found that in a sample of 189 large companies, 40 offered stock options to their board members as part of their non-cash compensation packgaes. For small-to-mid-sized companies, 43 of the 180 surveyed indicated that they offer stock options as part of their noncash compensation packages to their board members. If a company is selected at random, what is the probability that it offered stock options to their board members?

a) 0.4

b) 0.2249

c) 0.7751

According to a survey of American households, the probability that the residents own 2 cars if annual household income is over $25,000 is 80%. Of the households surveyed, 60% had incomes over $25,000 and 70% had 2 cars. The probability that the residents of a household do not own 2 cars and have an income over $25,000 a year is:

a) 0.12

b) 0.18

If two equally likely events A and B are mutually exclusive and collectively exhaustive, what is the probability that event A occurs?

a) 0

b) 1

c) 0.5