In: Statistics and Probability
Normal Approximation to the Binomial and Poisson Distributions. Lognormal Distribution
1. In a classroom, 1 person in 6 students is left handed. If a class contains 40 students, what is the probability that 10 or more are left-handed? What is the probability that 10 or more are left-handed?
2. According to information available, an average of 3 accidents occurs every month in a certain junction of a city. But using suitable approximation, estimate the probability that at least 40 accidents occur at that busy junction in a year.
3. In a particular faculty 60% of students are men and 40% are women. In a random sample of 50 students, what is the probability that more than half are women?
4. In a company, the wages of a certain grade of staff are normally distributed with a standard deviation of RM400. If 20.05% of staff earn less than RM300 a week,
a. What is the average wage?
b. What percentage of staff earn more than RM500 a week?