Question

(Q6) A coin is biased so that the probability of tossing a head is 0.45. If this coin is tossed 55 times, determine the probabilities of the following events. (Round your answers to four decimal places.)

(a) The coin lands heads more than 21 times.

(b) The coin lands heads fewer than 28 times.

(c) The coin lands heads at least 20 times but at most 27 times.

(Q7) A company finds that one out of three employees will be
*late* to work on a given day. If this company has 41
employees, find the probabilities that the following number of
people will get to work *on time*. (Round your answers to 4
decimal places.)

(a) Exactly 28 workers or exactly 32 workers.

(b) At least 25 workers but fewer than 30 workers.

(c) More than 23 workers but at most 32 workers.

Answer #1

dear student, please post the question one at a time.

6) the probability of tossing a head is P= 0.45

total number of trials, N=55

a) The probability that the coin lands head more than 21 times =

b)The probability that the coin lands head fewer than 28 times.

c) The probability that the coin lands head at least 20 times but at most 27 times=

A coin is biased so that the probability of the coin landing
heads is 2/3. This coin is tossed three times. A) Find the
probability that it lands on heads all three times. B) Use answer
from part (A) to help find the probability that it lands on tails
at least once.

In need of assistance. Please show your
work -----> Given: Chance Experiment involving
tossing a biased coin. Probability of heads: p =
.20
A) The coin is tossed 12 times. Let z = the # of heads
tossed.
i) What type of distribution would you use to find probabilities
in this case? What is the general distribution function, p(z), you
would use to find probabilities?
ii) Find the probability of tossing exactly 5 heads
iii) Probability of tossing at least...

Coin 1 and Coin 2 are biased coins. The probability that tossing
Coin 1 results in head is 0.3. The probability that tossing Coin 2
results in head is 0.9. Coin 1 and Coin 2 are tossed
(i) What is the probability that the result of Coin 1 is tail
and the result of Coin 2 is head?
(ii) What is the probability that at least one of the results is
head?
(iii) What is the probability that exactly one...

Suppose my friend and I are tossing a biased coin (the chance of
the coin landing heads is p> 1/2). I get one dollar each time
the coin lands heads, and I have to pay one dollar to my friend
each time it lands tails. I will stop playing if my net gain is
three dollars (net gain = amount won-amount lost).
a) What is the chance that i will stop after exactly three
tosses?
b) What is the chance...

A biased coin is flipped 9 times. If the probability is 14 that
it will land on heads on any toss. Calculate: This is a binomial
probability question
i) The probability that it will land heads at least 4
times.
ii) The probability that it will land tails at most 2 times.
iii) The probability that it will land on heads exactly 5
times.

A fair coin is tossed 4 times, what is the probability that it
lands on Heads each time?
You have just tossed a fair coin 4 times and it landed on Heads
each time, if you toss that coin again, what is the probability
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Give examples of two independent events.
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If you were studying the effect that eating a healthy breakfast
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In a situation where we have a biased coin that is tails with
probability 0.7 and we independently flip it 10 times. Find the
following probabilities.
1. getting the sequence HTHHHTHTTH?
2. exactly 4 tails?
3. at least 4 tails?
4. expected number of tails? expected number of heads?

(a) Use the central limit theorem to determine the probability
that if you toss a coin 50 times, you get fewer than 20 heads.
(b) A coin is continuously tossed until the heads come up 20th
time. Use the central limit theorem to estimate the probability
that more than 50 coin tosses are required to get the 20th
head.
(c) Compare your answers from parts (a) and (b). Why are they
close but not exactly equal?

Q1. Let p denote the probability that the coin will turn up as a
Head when tossed. Given n independent tosses of the same coin, what
is the probability distribution associated with the number of Head
outcomes observed?
Q2. Suppose you have information that a coin in your possession
is not a fair coin, and further that either Pr(Head|p) = p is
certain to be equal to either p = 0.33 or p = 0.66. Assuming you
believe this information,...

A biased coin (one that is not evenly balanced) is tossed 6 times.
The probability of Heads on any toss is
0.3. Let X denote the number of Heads that come up.
1. Does this experiment meet the requirements to be considered a
Bernoulli Trial? Explain why or why
not.
2. If we call Heads a success, what would be the parameters of the
binomial distribution of X?
(Translation: find the values of n and p)
3. What is the...

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