I need help with these 5 questions please

Neil is a drummer who purchases his drumsticks online. When practicing with the newest pair, he notices they feel heavier than usual. When he weighs one of the sticks, he finds that it is 2.23 oz. The manufacturer's website states that the average weight of each stick is 1.85 oz with a standard deviation of 0.18 oz. Assume that the weight of the drumsticks is normally distributed. What is the probability of the stick's weight being 2.23 oz or greater? Give your answer as a percentage precise to at least two decimal places. You might find this table of standard normal critical values useful. %According to the College Board, SAT mathematics scores from the 2014 school year for high school students in the United States were normally distributed with a mean of 513 and a standard deviation of 120. Use a standard normal table such as this one to determine the probability that a randomly chosen high school student who took the SAT in 2014 will have a mathematics SAT score between 400 and 750 points. Give your answer as a percentage rounded to one decimal place. MC] The highest grade for Florida oranges is U.S. Fancy and is based principally on color. Suppose that Shannon owns a small organic orchard and that the proportion of oranges she grows which can be classied as U.S. Fancy is 0.40. One morning, Shannon randomly picks 44 oranges. Estimate the probability that the number of oranges that will be classied as U.S. Fancy, X, is fewer than 16. Use a normal approximation to the binomial distribution with continuity correction to obtain the solution. Give your answer precise to at least four decimal places. Suppose a movie starts at 5:00 pm. and Lindsay, a customer who is always late, arrives at the movie theater at a random time between 5: 10 pm. and 5:45 pm. Lindsay's late arrival time, in minutes, represented by X, models a uniform distribution between 10 and 45 min. Determine the height of the uniform density curve. Provide your answer with precision to three decimal places. Calculate the probability that Lindsay is late by 15 min or less, P(X 5 15). Provide your answer with precision to three decimal places. A simple random sample of 90 analog circuits is obtained at random from an ongoing production process in which 25% of all circuits produced are defective. Let X be a binomial random variable corresponding to the number of defective circuits in the sample. Use the normal approximation to the binomial distribution to compute P (19 5 X S 28), the probability that between 19 and 28 circuits in the sample are defective. Report your answer to two decimal places of precision