MDM4U – Exam Review Day 2 Probability Distributions - Normal Approximation, Confidence Intervals, Geometric, Hypergeometric, Binomial

Normal Approximation y Qantas Airlines new Airbus 380 can

carry 484 passengers. The airline has determined that 5% of the people do not show up for their flights. To avoid having empty seats, the flight is overbooked. What is the probability that some travellers will not get a seat if 506 tickets are sold? (4 marks)

Normal Distribution The weights of newborn baby boys

born at a local hospital are normally distributed with mean µ = 118 ounces and standard deviation σ = 9.5 ounces. What percent of the baby boys born at the local hospital weigh between 100 and 120 ounces?

Confidence Intervals A set of data has 36 points with a

mean of 15 and a standard deviation of 3. Construct a confidence interval for a 90% confidence level.

Binomial y Mr. Neave didn’t study enough for his 

Finite Math exam and is struggling on the 10 question multiple choice portion. Each question has five possible answers. Mr. Neave is certain of three answers but has no idea on the remaining seven questions. If Mr. Neave randomly guesses on the seven questions what is the probability that he gets at least 5 out of 10 on the multiple choice portion.