The marks on a statistics midterm test are normally distributed with a mean of 75 and a standard deviation of 4. a. What proportion

The marks on a statistics midterm test are normally distributed with a mean of 75 and a standard deviation of 4. a. What proportion of the class has a midterm test mark that is less than 80? Round your answer up to the nearest percentage point. Show your work. (5 points) b. What is the probability that a class of 16 has an average midterm test mark that is less than 80? Make sure to show the mean, standard deviation, and shape of the distribution as part of your answer. Show your work. (6 points) d. What is the probability that in a random sample of 10 students, more than 4 students have midterm test mark that is less than 80? Show your work. (4 points)
Step by Step Solution
There are 3 Steps involved in it
Step: 1

Get step-by-step solutions from verified subject matter experts
100% Satisfaction Guaranteed-or Get a Refund!
Step: 2Unlock detailed examples and clear explanations to master concepts

Step: 3Unlock to practice, ask and learn with real-world examples

See step-by-step solutions with expert insights and AI powered tools for academic success
-
Access 30 Million+ textbook solutions.
-
Ask unlimited questions from AI Tutors.
-
Order free textbooks.
-
100% Satisfaction Guaranteed-or Get a Refund!
Claim Your Hoodie Now!

Study Smart with AI Flashcards
Access a vast library of flashcards, create your own, and experience a game-changing transformation in how you learn and retain knowledge
Explore Flashcards