using unfair coin with P(H)=0.565 and P(T) = 0.435
let the random variable x be number of H in 480 flipping
P(275<= X <=285) is ? ( using normal approximation )
X: number of H
X~B(n=480, p=0.565)
X~N(mean=np=271.2, sd=10.86)
using unfair coin with P(H)=0.565 and P(T) = 0.435 let the random variable x be number...
Tossing an unfair coin with P(H) = 0.6 and P(T) = 0.4. The coin is tossed 10 times (each toss is independent from others) and in any turn it shows heads, it is tossed again. We want to count the cases where the coin is tossed twice and the second toss, too, is head. For example, H T T T T T T T H T H T In this case, the count will be 1. Only the first turn...
A coin is tossed twice. Let
the random variable X denote the number of tails that occur in the
two tosses. Find the P(X ≤ 1)
Question 2: A coin is tossed twice. Let the random variable X denote the number of tails that occur in the two tosses. Find the P(Xs 1) a. 0.250 b. 0.500 c. 0.750 d. 1.000 e. None of the above
Conduct the random experiment of flipping a coin five times. Let X be the number of heads. (a) Compute P(X > 3). (Round your answer to four decimal places.) (b) Compute E(X).
probability: please solve it step by step. thanks
An unfair coin has probability of heads equal to p. An experiment consists of flipping this unfair coin n times and then counting the number of heads. a. Let Y; be a random variable which is 1 if the ith flip is heads and 0 if the ith flip is tails, where 1 sisn. Show that E (Y) = p and V(Y) = p-p2. b. Derive the moment-generating function of Y. c....
I have an unfair coin for which P(H) = p, where 0 < p < 1. I toss the coin repeatedly until I observe heads for the first time. Let Y, be the total number of coin tosses. Find the distribution of Y. Hint: the range of Y is {1,2,3...}.
Problem(13) (10 points) An unfair coin is tossed, and it is assumed that the chance of getting a head, H. is (Thus the chance of setting tail, T. is.) Consider a random experiment of throwing the coin 5 times. Let S denote the sample space (a) (2 point) Describe the elements in S. (b) (2 point) Let X be the random variable that corresponds to the number of the heads coming up in the four times of tons. What are...
3. A coin is tossed repeatedly. Let the random variable x be the number of the toss at which a head first appears. Find the probability P that x-n, for n 1,20. Show that the probabilities sum to unity. Calculate the expectation value (average) of x. Calculate the variance of x. First do these calculations numerically out to x- 20 using a spread sheet (by that point you should be very close to the exact result). Attach a print-out of...
Let X be a binomial random variable with n = 150 and p = 0.4. Use the normal approximation to find the following. Do not solve this as a binomial distribution problem. You must set up and use the normal approximation to receive credit. Express the final answer using 4 decimal places. a) P(48 ≤ X ≤ 66) b) P(X > 69)
Let X be the random number of fair coin tosses till the third head appears. For example, if the outcomes are h, t, h, t, h, then X-б. Find E(X).
Let x be a random variable from a binomial distribution with n = 40 and p = 0.9. If a normal approximation is appropriate, give the distribution of x' that would be used in the approximation. a) x' ~ N(40, 0.92) b) x' ~ N(36, 3.62) c) x' ~ N(36, 1.92) d) normal approximation is not appropriate