What’s the probability of getting no heads after flipping a fair coin 10 times? What’s the...

What’s the probability of getting no heads after flipping a fair coin 10 times? What’s the probability of getting no 3’s after rolling a fair 6-sided die 9 times? What’s the probability of getting a 4 at least once after rolling a fair 4-sided die 5 times? What’s the probability of getting a 5 exactly once after rolling a fair 8-sided die 7 times?

Expert Solution

milcah answered 1 year ago

What’s the probability of flipping a coin 25 times and getting between 32% and 50% heads....

What’s the probability of flipping a coin 25 times and getting between 32% and 50% heads. Please assume that this clearly discrete distribution is, in fact, continuous, and use the normal approximation.

Consider flipping a fair coin 10 times. What is the probability that (a) you get exactly...

Consider flipping a fair coin 10 times. What is the probability that (a) you get exactly 7 heads? (b) you get at least 4 heads? (c) you get two more heads than tails?

- Your friend claims he has a fair coin; that is, the probability of flipping heads...

- Your friend claims he has a fair coin; that is, the probability of flipping heads or tails is equal to 0.5. You believe the coin is weighted. Suppose a coin toss turns up 15 heads out of 20 trials. At α = 0.05, can we conclude that the coin is fair (i.e., the probability of flipping heads is 0.5)? You may use the traditional method or P-value method.

Consider flipping nn times a coin. The probability for heads is given by pp where pp...

Consider flipping nn times a coin. The probability for heads is given by pp where pp is some parameter which can be chosen from the interval (0,1)(0,1). Write a Python code to simulate nn coin flips with heads probability pp and compute the running proportion of heads X¯nX¯n for nn running from 1 to 1,000 trials. Plot your results. Your plot should illustrate how the proportion of heads appears to converge to pp as nn approaches 1,000. In [ ]:...

Suppose you toss a fair coin 10 times. (a) Calculate the probability of getting at least...

Suppose you toss a fair coin 10 times. (a) Calculate the probability of getting at least 6 heads, using the exact distribution. (b) Now repeat the calculate above, but approximate the probability using a normal random variable. Do your calculation both with and without the histogram correction. Which one is closer to the true answer? Now suppose you toss a fair coin 1000 times. (c) What is the probability of getting at least 520 heads? You can approximate this using...

If a fair coin is tossed 25 times, the probability distribution for the number of heads,...

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 ...

What’s the probability that a fair coin results in 12 or fewer heads from 40 flips?...

What’s the probability that a fair coin results in 12 or fewer heads from 40 flips? And What does that probability say about the fairness of the coin?

A coin is flipped seven times. What is the probability of getting heads six or fewer...

A coin is flipped seven times. What is the probability of getting heads six or fewer times? I know how to solve this with the probability equation. 2x2x2x2x2x2x2=128 total outcomes Which is p1+p2=1 -> p1=1-p2-=1-1/128= 127/128 is the answer. But whenever I try to solve it with the permutation formula I get a wrong answer n!/ k!(n!-k!) = 7!/6!(7!-6!) = 7 7/128 where am I wrong? can someone explain to me what am I doing wrong?

In tossing a fair coin 16 times, what is the probability of getting at most 4...

In tossing a fair coin 16 times, what is the probability of getting at most 4 tails?

A coin is tossed 400 times, landing heads up 219 times. Is the coin fair?

Question