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3. In 2019, 85% of the population in a village was reported to be infected with the Corona virus. If 6 individuals are selected with

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3. In 2019, 85% of the population in a village was reported to be infected with the Corona virus. If 6 individuals are selected with replacement from the population a) Find the expected value and standard deviation [2 marks] Round to 1 dp b) What is the probability of selecting exactly three infected individuals? [2 marks] Round to 4 dp c) What is the probability of selecting less than three affected individuals? [3 marks] Round the final answer to 4 dp d) What is the probability of selecting at least 2 affected people? [2 marks] Rd the final answer to 4 dp 4. The following set of data shows the weight of a vehicle (in 1000lbs) and its fuel efficiency (in miles/gallon) Weight of Vehicle (1000 lbs) Fuel efficiency (miles/gallon) 3.54 32 2.70 34 3.91 25 3.22 34 4.06 25 2.45 37

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