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.
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?
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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.
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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....
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...
What’s the probability of getting no heads after flipping a fair
coin 10 times? What’s the probability of getting no 3’s after
rolling a fair 6-sided die 9 times? What’s the probability of
getting a 4 at least once after rolling a fair 4-sided die 5 times?
What’s the probability of getting a 5 exactly once after rolling a
fair 8-sided die 7 times?
If we flip a coin three times, find the probability of getting
at most 1 tail?
a. What is the probability experiment? Flipping a coin
b. What is the event(s)? at most 1 tail
c. What technique can I use to solve this problem? Select an
answer
d. How do you know you can use that technique? Select an
answer
f. Find the probability of rolling a sum that is at most 1 tail.
Write Answer as a Fraction (Not...