In: Statistics and Probability
2. John has a special coin and he claims that it lands head 67% of the time it is tossed.
a. What is the probability that in 22 tosses, the coin would land heads 13 or fewer times?
b. If John actually tossed the coin 22 times and obtained 13 heads, would you have a good reason to doubt that John’s claim (head lands head 67% of the time) is true? Explain your answer.