Question
In: Statistics and Probability
If a symmetric coin is tossed 100 times, by using normal approximation find the probability that:...
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)
Solutions
orchestra answered 1 year agoRelated Solutions
A fair coin is tossed 400 times. (a) Using the normal approximation to estimate the chance...
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...
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...
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 coin is tossed 50 times. Find the probability that the tail appears. A) Exactly 30 times...
A coin is tossed 50 times. Find the probability that the tail
appears.
A) Exactly 30 times
B at least 35 times.
Using normal distribution
A coin is tossed 50 times. Find the probability that the tail appears. A) Exactly 30 times...
A coin is tossed 50 times. Find the probability that the tail
appears.
A) Exactly 30 times
B at least 35 times.
Using normal distribution
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 coin is tossed five times. Find the probability of getting at least one tails.
A coin is tossed five times. Find the probability of getting at least one tails. .1875 .0313 .9688 .8125
8. A fair coin is tossed 60 times. Find the probability that the head appears between...
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.
A coin is tossed thrice. Find the probability of getting
A coin is tossed thrice. Find the probability of getting
(i) exactly two heads.
(ii) at least two tails.
Assume we flip a fair coin 100 times. Use the normal approximation to the binomial 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
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