1. A farmer has a flock of 237 crossbred lambs. The mean weight of the lambs is 35 kg with a standard deviation of 2 kg. If lambs between the weights of 33 to 39 kg are suitable for export, how many lambs in this flock could the farmer expect to be able to export?

  2. When we consider the standard normal distribution, what percentage of the data lies between 1, 2 and 3 standard deviations?

  3. The marks of a statistics course are normally distributed with a mean of 65 and a standard deviation of 11. If we pick one student of this class at random, what is the probability that the student scored

  1. higher than 76 marks?

  2. between 43 and 76 marks?

  3. If the top 16% of the students received an A grade, what was the minimum mark for an A? (Round your answer to the nearest integer.)

  4. If 2964 students sat the exam, how many of them could be expected to score less than or equal to 32 marks?