Suppose you toss a fair coin 10 times. (a) Calculate the probability of getting at least...

60.1K

Verified Solution

Question

Statistics

Suppose you toss a fair coin 10 times.
(a) Calculate the probability of getting at least 6 heads, usingthe exact distribution.
(b) Now repeat the calculate above, but approximate theprobability using a normal random variable. Do your calculationboth with and without the histogram correction. Which one is closerto the true answer?
Now suppose you toss a fair coin 1000 times.
(c) What is the probability of getting at least 520 heads? Youcan approximate this using a normal with the appropriate mean andvariance. Do this with and without the histogram correction. (Doesit matter if you use this correction?)
(d) What is the probability of getting at least 600 heads?Calculate this however you want.

Answer & Explanation Solved by verified expert

3.7 Ratings (624 Votes)

Since coin is fair so getting a head in a single trial is PH 050Let X is a random variable shows the number of heads out of 10Here X has binomial distribution with parameters as follown10 and p 05aThe probability of getting at least 6 See Answer

Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:

Unlimited Question Access with detailed Answers
Zin AI - 3 Million Words
10 Dall-E 3 Images
20 Plot Generations
Conversation with Dialogue Memory
No Ads, Ever!
Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!

Become a Member