I need help solving this problem please

ot get help from anyone to answer the questions nor should you share the answers with your fellow classmates. 1) The scores on a test for children in an eighth grade class is normally distributed with a mean of 70 and a standard deviation of 4.2. Answer the following: a) What is the probability a test score is less than a 77? b) Pearl E. Gates has a test score called S. If another child in the class is picked at random, the probability that the other child has a score higher than Pearl is 0.58. Find Pearl's test score. 2) The average weekly earnings of the plumbers in a city is $893 with a population standard deviation of $28. Assume that we select a random sample of 67 plumbers. a) What is the sampling distribution of the mean weekly earnings of plumbers? (i.e. What is the sampling distribution of x?) b) Find the probability that the sample mean weekly earnings will be between $885 and $890. 3) According to High Rollers Inc, 75% of the time a loaded pair of dice (meaning dice are biased) will land so that the sum will be seven. The dice are rolled 400 times