type the correct answer in the box. use numerals instead of words.\nfor this question, an answer that is not…

type the correct answer in the box. use numerals instead of words.\nfor this question, an answer that is not a whole number should be entered as a decimal, rounded to the thousandths place.\nmanagement at a restaurant is deciding whether to add a new italian or chinese dish to their menu. they randomly select customers to survey whether or not they would order each type of cuisine. the survey responses are shown in the two - way frequency table.\n| |would order italian|would not order italian|total|\n|--|--|--|--|\n|would order chinese|43|25|68|\n|would not order chinese|20|14|34|\n|total|63|39|102|\nuse the table to complete the statements.\nthe probability that a customer would order italian is (square).\nthe probability that a customer would order chinese and would not order italian is (square).\nthe probability that a customer would order italian given that they would not order chinese is (square).\nreset next

type the correct answer in the box. use numerals instead of words.\nfor this question, an answer that is not a whole number should be entered as a decimal, rounded to the thousandths place.\nmanagement at a restaurant is deciding whether to add a new italian or chinese dish to their menu. they randomly select customers to survey whether or not they would order each type of cuisine. the survey responses are shown in the two - way frequency table.\n| |would order italian|would not order italian|total|\n|--|--|--|--|\n|would order chinese|43|25|68|\n|would not order chinese|20|14|34|\n|total|63|39|102|\nuse the table to complete the statements.\nthe probability that a customer would order italian is (square).\nthe probability that a customer would order chinese and would not order italian is (square).\nthe probability that a customer would order italian given that they would not order chinese is (square).\nreset next

Answer

Explanation:

Step1: Calculate probability of ordering Italian

The probability of an event is the number of favorable outcomes divided by the total number of outcomes. The number of customers who would order Italian is 63, and the total number of customers surveyed is 102. So the probability $P(\text{order Italian})=\frac{63}{102}\approx 0.618$.

Step2: Calculate probability of ordering Chinese and not Italian

The number of customers who would order Chinese and not Italian is 25. The total number of customers is 102. So the probability $P(\text{order Chinese and not Italian})=\frac{25}{102}\approx 0.245$.

Step3: Calculate conditional - probability

The formula for conditional probability is $P(A|B)=\frac{P(A\cap B)}{P(B)}$. Here, $A$ is the event of ordering Italian and $B$ is the event of not ordering Chinese. The number of customers who would not order Chinese is 34, and the number of customers who would not order Chinese and order Italian is 20. So $P(\text{order Italian}|\text{not order Chinese})=\frac{20}{34}\approx 0.588$.

Answer:

0.618 0.245 0.588