A special novelty coin has a probability of 0.89 of coming up heads. In 12 tosses...

Question

Question

A special novelty coin has a probability of 0.89 of coming up heads. In 12 tosses of this coin:

a) What is the probability the coin comes up heads exactly 10 times?

Round your response to at least 3 decimal places.

b) What is the probability the coin comes up heads more than 10 times?

Round your response to at least 3 decimal places.

Answer 1

Answer #1

This will be a binomial experiment with parameters:

n = 12, p = 0.89

a) P(Exactly 10)

= (12) (0.89)10 (0.11) 10

= 0.249

b) P(More than 10)

= P(11) + P(12)

= (12) (0.89)}(0.11) + (12) (0.89) 12 (0.11)

= 0.613

Answer 2

Similar Homework Help Questions

You toss a coin 1000 times The probability that a coin comes up heads 12 times...

You toss a coin 1000 times The probability that a coin comes up heads 12 times in 12 tosses is
1. A weighted coin has a 40% probability of coming up heads. g. What is the...

1. A weighted coin has a 40% probability of coming up heads. g. What is the probability there will be more than 35 heads in 100 flips?
An unfair coin has probability 0.4 of landing heads. The coin is tossed seven times. What...

An unfair coin has probability 0.4 of landing heads. The coin is tossed seven times. What is the probability that it lands heads at least once? Round your answer to four decimal places. P (Lands heads at least once) -

A coin that comes up heads with probability p is flipped n consecutive times. What is...

A coin that comes up heads with probability p is flipped n consecutive times. What is the probability that starting with the first flip there are always more heads than tails that have appeared?
A coin flip: A fair coin is tossed three times. The outcomes of the three tosses...

A coin flip: A fair coin is tossed three times. The outcomes of the three tosses are recorded. Round your answers to four decimal places if necessary. Part 1 of 3 Assuming the outcomes to be equally likely, find the probability that all three tosses are "Heads." The probablility that all three tosses are "Heads" is 0.1250 Part: 1/3 Part 2 of 3 Assuming the outcomes to be equally likely, find the probability that the tosses are all the same....
Consider a coin whose probability of landing heads is p. For what values of p can...

Consider a coin whose probability of landing heads is p. For what values of p can you guarantee that the probability of obtaining: (i) at least one heads in 6 tosses is strictly less than .15? (ii) exactly 3 heads in 6 tosses is strictly less than .15?

The probability of getting heads from throwing a fair coin is 1/2 The fair coin is...

The probability of getting heads from throwing a fair coin is 1/2 The fair coin is tossed 4 times. What is the probability that exactly 3 heads occur? 1/4 The fair coin is tossed 4 times. What is the probability that exactly 3 heads occur given that the first outcome was a head? 3/8 The fair coin is tossed 4 times. What is the probability that exactly 3 heads occur given that the first outcome was a tail? 1/8 The...
Fair Coin? In a series of 100 tosses of a token, the proportion of heads was...

Fair Coin? In a series of 100 tosses of a token, the proportion of heads was found to be 0.58. However, the margin of error for the estimate on the proportion of heads in all tosses was too big. Suppose you want an estimate that is in error by no more than 0.05 at the 95% confidence level. (a) What is the minimum number of tosses required to obtain this type of accuracy? Use the prior sample proportion in your...
10 In a certain country tthe probability a randomly selected adult is literate is 0.89. Suppose...

10 In a certain country tthe probability a randomly selected adult is literate is 0.89. Suppose we draw a simple random sample of 11 adults from this country. a) What is the probability exactly 9 are literate? Round your response to at least 3 decimal places. Number b) What is the probability more than 9 are literate? Round your response to at least 3 decimal places. Number

5. A coin is bent so that the probability that it lands heads up is 213....

5. A coin is bent so that the probability that it lands heads up is 213. The coin is tossed ten times. Find the probability that it lands heads up at most five times. Find the probability that it lands heads up more times than it lands tails up.