i need help with these,

1. The lifespan of a particular species of turtle is normally distributed with a mean of 180 years and standard deviation of 40 years. What proportion of these turtles will live to be more than 220 years old? [3marks] A company makes 2 x 4 boards that are used in construction projects. The board lengths produced by this company are uniformly distributed from 8 it to 14 ft. Determine the probability that a board selected at random will be less than 10 ft long. [2 marks] 3. The number of nuts in a package of Patty's v Premium Peanuts is normally distributed with a mean of 432.4 nuts and a standard deviation of 5.8 nuts. Packages with fewer than 420 nuts or more than 445 nuts will be rejected by quality control. a) What is the probability that a package selected at random will fall within the acceptable quality control range? [4marks] bjIn a production run of 50 000 packages of nuts, how many can be expected to be rejected? [1mark]Thinking: [ /10] 4. The mass of 55 high school football team players is normally distributed with a mean of 108.3 kg and a standard deviation of 6.5 kg. a)What is the 85th percentile? [2 marks] b)Michael's weight is 110 Kg, what percentile is this? [1 marks] cjJack tells you that only 1.88% of his teammates are taller than him. What is his height?[2 marks] d)How many football players do you expect to have a mass between 110 and 120 kg? [3 marks] 5. The probability PYX 3) [2 marks] 0.3 0.25 0.2 0.15 0.1 0.05 b) Calculate P( 2