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Normal Approximation to the Binomial and Poisson Distributions. Lognormal Distribution 1. In a classroom, 1 person...

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?

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