A fair coin is tossed 400 times.
(a) Using the normal approximation to estimate the chance of
getting exact 200 heads.
(b) To use binomial formula to find the chance of getting exact
200 heads.
A coin is tossed 279 times. Use either a Normal or Poisson
approximation to approximate the probability that there are at most
43 heads. Show that the approximation is applicable and use the
Padé approximation to determine the result.
DO NOT USE!!!! TI-83, TI-84, TI-89 NOR Excel commands for the
Binomial distribution to determine the result.
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
Assume we flip a fair coin 100 times. Use the normal
approximation to the binomial distribution to approximate the
probability of getting more than 60 heads.
Answer: 0.0108 - need work
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 ...