Given with an unknown shape of a population, consider the following values: u=75, o=5 & n=40. Calculate the probability that the sample mean is less than 74. A city has an average number of 620 public...

Extracted text: Given with an unknown shape of a population, consider the following values: u=75, o=5 & n=40. Calculate the probability that the sample mean is less than 74. A city has an average number of 620 public elementary school teachers with a standard deviation of 76. If a random sample of 36 cities is selected, what is the probability that the number of teachers is greater than 600 teachers? The average time it takes a group of Senior High School students to finish answering a long exam in Statistics and probability is 63 minutes. The standard deviation is 10 minutes. If the random variable is normally distributed, what is the probability that a 45 randomly selected SHS students who take the examination has a mean time of less than 60 minutes to complete the test? The program entitled "The Voice Philippines" has a mean number of viewers of 16 million with a standard deviation of 2.1 million. Assume a normal distribution, what is the probability that a randomly selected 9 episodes has a number of audiences between 15 to 18 million viewers?