The average lifespan for a certain type of vehicle is 8 years and follows an exponential distribution. A lot contains 200 of these vehicles, brand new. How many of the 200 would you expect to fail in their first 2 years? What is the approximate probability that 50 or more of them fail in their first 2 years? If you have learned that 30 vehicles have already failed in under 2 years, What is the approximate probability that no more than 10 of the rest of them fail in their first 2 years?

After several thousand game over several years versus a computer opponent, your instructor has won 66.4% of the time. At this rate, if twelve game were to be played what is the probability that he would win exactly eight of them? Explain your answer.

Suppose that 40% of people own dogs. If you pick two people at random, what is the probability that they both own a dog?Give your answer as a decimal rounded to 4 places.

If a seed is planted, it has a 95% chance of growing into a healthy plant.If 12 seeds are planted, what is the probability that exactly 3 don't grow? Round your answer to three decimal places.

My brothers trick coin lands on tails 37% of the time. If I flip it 55 times what is the probability that I will get exactly 13 tails. Round to 4 decimal places.

Number 2

Connor is an oncologist with 7 patients in their care. The probability that a patient will survive 5 years after being diagnosed with stage 2 pancreatic cancer is 0.34. What is the probability that 7 of the patients are still alive after 5 years?

A drunken pirate stands in the center of a ship's deck. Every second the pirate moves right or left only. Every second the pirate moves to the right with a probability of 0.1 The steps are independent of each other. The edge of the deck is 5 steps away from the pirate. What is the chance that the pirate will fall off the ship after exactly 5 seconds?

thirty four percent of us adults have very little confidence in newspapers. You randomly select 8 US adults. Find the probability that the numbers of US adults who have very liitle confidence is less  than 5

A 5th grade teacher seems that 24% of her students are late for class. If the teachers right, what is the probability that the proportion of late students in a sample of 430 students would differ from population proportion by less than 4%? Round answer to 4 decimal places.