During Ramadan month, Amanah Insurance launched its annual product called “Mudik Insurance”. This product covered the cost of accidents during Ramadan month. Based on the company's research, among a random sample of 2,000 cars, 48 cars have an accident during the Ramadan month and will claim its insurance. What is the probability that there are no cars or no one will claim the insurance? (assume it follows poisson distribution)

(Notes: use 4 digits after decimal point)

A minimarket store sells 2 types of instant noodles, Indomie at 20 packages and Japanese Ramen at 30 packages. Benny stopped at the minimarket one late night after working overtime and wanted to buy a supply of instant noodles for the week. He felt tired and wanted to return home as soon as possible so he didn’t pay attention to what type of instant noodle he bought. Benny purchased 10 packages of instant noodles from the minimarket and left for his home. 

What is the probability that Benny bought 6 Japanese Ramen? 

(Notes: Use 4 digits after decimal point)

Oemah Kopi is a small-business that focuses on selling Indonesian traditional coffee. One day, R&D team found out that 74% of people wants to buy Toraja coffee. Hence, Oemah Kopi launches Toraja coffee menu. To test the market, Oemah Kopi’s R&D team randomly selected 10 people and asked them if they want to buy this coffee.

XYZ Electronics Inc. purchases TV picture tubes from three different suppliers. Supplier A supplies 40% of the tubes, Supplier B supplies 35%, and Supplier C supplies 25%. 

Supplier A tends to have the best quality, as only 3.6% of its tubes arrive defective. Supplier B’ tubes are 4% defective, and Supplier C’s are 8.7% defective.

A defective picture tube was discovered in the latest shipment. What is the probability that it came from Supplier A? (round answer to 3 decimal places)

Peach Tree automobile dealer has kept records of the customers who visited the showroom. 

Forty percent of the individuals who visited the dealership were married. 

Furthermore, the records show that 35% of the married individuals who visited the dealership purchased an automobile, while 21% of the unmarried individuals who visited the dealership purchased an automobile. 

A car salesperson has just informed that he sold a car to a customer. 

What is the probability that the customer was married? (use 3 decimals)

Match the correct answers.

A group study has 5 members. Let's call their name Mr A, Mr B, Ms C, Ms D and Ms E.

They go to a cinema and Mr A will buy the tickets.