Give the expected value, variance, and probability distribution
for the sum of a fair coin and...
Give the expected value, variance, and probability distribution
for the sum of a fair coin and a random real number chosen
uniformly in the range [ -1, 1]. Sketch the PMF.
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 ...
The
probability of success in Bernoulli is 0.7. Find the expected value
and variance of the number of failures until the ninth success.
(The problem is to find the mean and variance of the number of
failures in the negative binomial distribution given the Bernoulli
probability of success.)
6. Create a probability distribution for a coin flipping game.
That is, toss a coin at least 25 times and keep up with the number
of heads and the number of tails. (8 points for each part) a.
Compile your data into a probability distribution. Be sure to show
that your distribution meets the properties for a probability
distribution.
RESULTS
Trial 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19...
There is a fair coin and a biased coin that flips heads with
probability 1/4.You randomly pick one of the coins and flip it
until you get a heads. Let X be the number of flips you need.
Compute E[X] and Var[X]
A box contains three fair coins and one biased coin. For the
biased coin, the probability that any flip will result in a head is
1/3. Al draws two coins from the box, flips each of them once,
observes an outcome of one head and one tail and returns the coins
to the box. Bo then draws one coin from the box and flips it. The
result is a tail. Determine the probability that neither Al nor Bo
removed the...
If you flip a fair coin, the probability that the result is
heads will be 0.50. A given coin is tested for fairness using a
hypothesis test of H0:p=0.50 versus HA:p≠0.50. The given coin is
flipped 180 times, and comes up heads 110 times. Assume this can be
treated as a Simple Random Sample. The test statistic for this
sample z and the p value
I am trying to figure out the probability, expected value,
variance, and standard deviation for a series of dice rolls. For
example, if I roll a six-sided die in an attempt to roll a 1, and
it takes me 7 rolls before a 1 appears, what are those answers? I
have figured out the probability equation:
P(P-1)^x where x is the number of rolls - 1 so for 7 rolls the
probability would be: 1/6(1-1/6)^6 = 0.05581632...
Further where I...
Find the mean, variance and standard deviation for the
probability distribution given below. Give your answers to at least
4 decimal places. X -4 3 9 11 P(X) 0.599 0.131 0.214 0.056 A. Mean
= B. Variance = C. Standard Deviation =
expected value and variance for the described distribution? 5.
Suppose that a box contains five red balls and ten blue balls. If
seven balls are selected at random without replacement, what is the
probability that at least 4 red balls will be obtained? Let X
denote the proportion of red balls in the sample what are the mean
and variance of X?