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The average age of a vehicle registered in the United States is 96 months. Assume the standard deviation is 16 months. If a random sample of 36 cars is selected, find the probability that the mean of their age is between 90 and 100 months. Sampling Distribution of Sample Proportions General Properties p p npq npq npq p 2 2 n n n Approximately normal if pq n Proportion of all cardiac patients receiving blood transfusions who contract hepatitis was 0.07. A new screening is believed to reduce this incidence rate. It’s given to 200 blood recipients. What’s the probability that less than 6 of the 200 contract hepatitis. Assume that 30% of students at a university wear contact lenses. We randomly select 100 students. What is the probability that more than one-third of this sample wear contacts? The library says that 60% of people like to read murder mysteries. What’s the probability that at least 32 out of 60 people will prefer to read a murder mystery? A school claims that 98% of its students pass the exit exam. What's the probability that less than 96% of the 100 students that takes the exam passes the test. The average price of a pound of bacon is $2.02. Assume the standard deviation is $0.08. If a random sample of 40 one-pound packages is selected, find the probability that the mean of the sample will be less than $2.00. Approximately 62% of all freshmen loose their Life scholarship by the end of their sophomore year. What’s the probability that in a group of 40, more than 26 have lost their life scholarship. Homework Worksheet