Question

In: Statistics and Probability

I toss a fair coin 20 times. (a) Calculate the probability of tossing 18 or more...

I toss a fair coin 20 times.

(a) Calculate the probability of tossing 18 or more heads exactly.

(b) Now perform the same calculation, approximating the actual binomial distribution with a normal distribution, picking a proper random variable, and using the correct mean and variance. (c) Do the results reasonably agree?

Solutions

Expert Solution

orchestra answered 1 year ago

Next > < Previous

Related Solutions

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

Suppose you toss a fair coin 10 times. (a) Calculate the probability of getting at least 6 heads, using the exact distribution. (b) Now repeat the calculate above, but approximate the probability using a normal random variable. Do your calculation both with and without the histogram correction. Which one is closer to the true answer? Now suppose you toss a fair coin 1000 times. (c) What is the probability of getting at least 520 heads? You can approximate this using...

In tossing a fair coin 16 times, what is the probability of getting at most 4...

In tossing a fair coin 16 times, what is the probability of getting at most 4 tails?

Both Alice and Bob toss a fair coin three times. The probability that Alice records a...

Both Alice and Bob toss a fair coin three times. The probability that Alice records a different numbers of heads than Bob is given by A/B, where A and B are relatively prime integers (greatest common divisor is 1). Find A + B.

When tossing a fair coin three times what is the probability of getting 0, 1, 2,...

When tossing a fair coin three times what is the probability of getting 0, 1, 2, or 3 heads (as opposed to tails)? Write the answers in fractional notation, corresponding to the order given.

Check 1 ptRetries 1 A fair coin is tossed 7 times. Compute the probability of tossing...

Check 1 ptRetries 1 A fair coin is tossed 7 times. Compute the probability of tossing 7 tails in a row. 1128 Enter your response as a reduced fraction. Question Help: Message Message instructor Unattempted Question 2 Check 1 ptRetries 1 A CEO of Awesome Coolers owns 4 pairs of pants, 13 shirts, 8 ties and 3 jackets. How many different outfits can he wear to the office if he must wear one of each item? The CEO has different outfits....

in tossing a coin 1024 times we get 460 tails. is this coin fair? use a...

in tossing a coin 1024 times we get 460 tails. is this coin fair? use a significance level equal to 5%

In C++ Write a program that simulates coin tossing. For each toss of the coin the program...

In C++ Write a program that simulates coin tossing. For each toss of the coin the program should print heads or tails. Let the program toss the coin 100 times and count the number times each side of the coin appears. Print the results. 0 represents tails and 1 for heads.

Write an application that simulates coin tossing. Let the program toss a coin each time the...

Write an application that simulates coin tossing. Let the program toss a coin each time the user chooses the “Toss Coin” menu option. Count the number times each side of the coin appears. Display the results. The program should call a method flip( ) that takes no arguments and returns a zero to represent a tail or a one to represent a head. There is a Random class that will allow you to generate a random integer. Import it from...

Suppose you toss a fair coin 4 times. Denote the outcome to be 1 if you...

Suppose you toss a fair coin 4 times. Denote the outcome to be 1 if you get a head and 0 if a tail. a) Write down the sample space Ω b) What is the probability of the event that you get head at least once? c) If you get four same toss you will get 10 dollars, otherwise you will lose 2 dollars. On average, will you win or lose?

Suppose you toss a fair coin 10 times resulting in a sequence of heads (H) and...

Suppose you toss a fair coin 10 times resulting in a sequence of heads (H) and tails (T). Let X be the number of times that the sequence HT appears. For example, HT appears thrice in THTHHTHHHT Find E(X). Use Indicator random variables.

Subjects