A coin will be tossed 7 times. Find the probability that there
will be exactly 2 heads among the first 4 tosses, and exactly 2
heads among the last 3 tosses. (Include 2 digits after the decimal
point.)
A fair coin is tossed 100 times. What is the probability of
observing at least 55 heads P(x≥55)? (Approximate the binomial
distribution with a normal distribution
If a symmetric coin is tossed 100 times, by using normal
approximation find the probability that:
a. it comes up H more than 60 times
b. the number of H(X) is between 60 and 90 (60≤X≤90)
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...
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...
If a fair coin is tossed 25 times, the probability distribution
for the number of heads, X, is given below. Find the mean and the
standard deviation of the probability distribution using Excel
Enter the mean and round the standard deviation to two decimal
places.
x P(x)
0 0
1 0
2 0
3 0.0001
4 0.0004
5 0.0016
6 0.0053
7 0.0143
8 0.0322
9 0.0609
10 0.0974
11 0.1328
12 0.155
13 0.155
14 0.1328
15 0.0974
16 ...