Question
In: Statistics and Probability
Choose a binomial probability experiment. You could flip a coin, or toss a basketball from the...
Choose a binomial probability experiment. You could flip a coin, or toss a basketball from the free throw line and see if you make the shot or miss, or choose another experiment where the outcome is a success or failure (only two possible outcomes.) 1) Make a guess about the probability of success before doing the experiment. 2) Repeat the experiment 50 times, and record the results. 3) Calculate the empirical probability of success, and compare it to your original guess. Were you close or were you far off? 4) Write a paragraph explaining how you did the experiment and comparing your results to your guess
Solutions
orchestra answered 1 year agoRelated Solutions
Choose a binomial probability experiment. You could flip a coin, or toss a basketball from the...
Choose a binomial probability experiment. You could flip a coin,
or toss a basketball from the free throw line and see if you make
the shot or miss, or choose another experiment where the outcome is
a success or failure (only two possible outcomes.)
1) Make a guess about the probability of success before doing
the experiment.
2) Repeat the experiment 50 times, and record the results.
3) Calculate the empirical probability of success, and compare
it to your original...
As a binomial question: Flip a coin twice. The probability of observing a head is 50%,...
As a binomial question: Flip a coin twice. The probability of
observing a head is 50%, what is the probability that I observe 1
head? binompdf (n, p, x) so binompdf( 2, .50,1) Sampling Proportion
question (8.2): There is a 50% of observing a head. If we flip the
coin 100 times, what is that at most 30% of the flips will be
heads? n*p*(1-p) =100*.50*.50=25 (Do not use my coin example. Use
your own scenario). pˆ=.30 po or μ=50...
i) Plot a cumulative probability distribution similar to the one in the coin toss experiment, but...
i) Plot a cumulative probability distribution similar to the one
in the coin
toss experiment, but for the probability of the number of sixes
rolled in 10
rolls of a die (a die has 6 sides!).
ii) If we observe four sixes in 10 rolls, is this die likely to
be loaded? If we observe a six four times out ten what is a 95%
confidence interval on the underlying probability of rolling a
six?
iii) Say instead we had...
1. A) If you flip an unfair coin 100 times, and the probability for a coin...
1. A) If you flip an unfair coin 100 times, and the probability
for a coin to be heads is 0.4, then the number of heads you expect
on average is:
B) If you flip an unfair coin 100 times, and the probability for
a coin to be heads is 0.4, then the standard deviation for the
number of heads is:
C) If you flip an unfair coin 2 times, and the probability for a
coin to be heads is...
Create a histogram on excel for a coin toss. Flip the coin 6 times, each time...
Create a histogram on excel for a coin toss. Flip the coin 6
times, each time moving down to the left (for heads) and to the
right (for tails).
Consider it a success if when flipping a coin, the coin lands
with the head side facing up. Then the probability of a success is
.5 (p=.5) and the probability of failure is .5 (q=.5) for each
event of flipping a coin. In this lab you will repeat a procedure
of...
Create a histogram on excel for a coin toss. Flip the coin 6 times, each time...
Create a histogram on excel for a coin toss. Flip the coin 6
times, each time moving down to the left (for heads) and to the
right (for tails).
Consider it a success if when flipping a coin, the coin lands
with the head side facing up. Then the probability of a success is
.5 (p=.5) and the probability of failure is .5 (q=.5) for each
event of flipping a coin. In this lab you will repeat a procedure
of...
You toss a biased coin with the probability of heads as p. (a) What is the...
You toss a biased coin with the probability of heads as p. (a)
What is the expected number of tosses required until you obtain two
consecutive heads ? (b) Compute the value in part (a) for p = 1/2
and p = 1/4.
If you flip a fair coin, the probability that the result is heads will be 0.50....
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
6. Create a probability distribution for a coin flipping game. That is, toss a coin at...
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...
1. a)If you were to toss a coin twice. What is the probability that it would...
1.
a)If you were to toss a coin twice. What is the probability that
it would come up Heads once and Tails once. Express you answer in
decimals to one place.
b)The sum of the probability of all outcomes
equals? Express your answer as a percentage to one
decimal place.
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