A fair coin is tossed 100 times. What is the probability of
observing at least 55...
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
A fair coin is tossed 25 times. What is the probability that at
least 1 tail occurs?
a) 1
b) 0.00000075
c) 0.99999923
d) 0.00000003
e) 0.99999997
f) None of the above.
A business organization needs to make up a 5 member fund-raising
committee. The organization has 9 accounting majors and 7 finance
majors. What is the probability that at most 2 accounting majors
are on the committee?
a) 0.0151
b) 0.0048
c) 0.3654
d) 0.0103
e) 0.3606
f) None...
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 ...
A fair coin is tossed 1000 times. Use the Central Limit Theorem
to approximate the probability that between 470 and 530 heads are
obtained. How does this compare to Chebyshev’s bound?
8. A fair coin is tossed 60 times. Find the probability that the
head appears between 22 and 40 times by using
a. binomial distribution,
b. approximation of Binomial distribution by normal
distribution. Discuss why b. is better in practice.
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)
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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....
A fair coin is tossed three times and the
events AA, BB, and CC are defined as
follows:
A:{A:{ At least one head is
observed }}
B:{B:{ At least two heads are observed }}
C:{C:{ The number of heads observed is odd }}
Find the following probabilities by summing the
probabilities of the appropriate sample points (note that 0 is an
even number):
(a) P(not C)P(not C) ==
(b) P((not A) and B)P((not A) and B) ==
(c) P((not A) or B or C)P((not A) or B or C) ==