What is the most likely value of the random variable “number of heads” resulting from ten...

Question

Question

What is the most likely value of the random variable “number of heads” resulting from ten tosses of a fair coin?

math Statistics-And-Probability

Answer 1

Answer #1

Probability of a head in a toss of a fair coin =

Number of tosses =

Hence, the most likely value of the random variable “number of heads” resulting from ten tosses of a fair coin =

Answer 2

Similar Homework Help Questions

Q7. (2096) Let W be a random variable giving the number of heads minus the number...

Q7. (2096) Let W be a random variable giving the number of heads minus the number of tails in three tosses of a coin. Assume that the coin is biased so that a tail is twice as likely to occur as a head.List the elements of the sample space for the three tosses of a coin and to each sample point assign a value w of a) Find the probability distribution (p.m.f) of the random variable w. b) Find the...
Let W be a random variable giving the number of heads minus the number of fails...

Let W be a random variable giving the number of heads minus the number of fails in three tosses of a coin Assuming that a head is one-sixth as likely to occur, find the probability distribution of the random variable W Complete the following probability distribution of W W 3 1 - 1 - 3 f(w) (Type integers or simplified fractions)
Let W be a random variable giving the number of heads minus the number of tails in three tosses of a coin

3. Let W be a random variable giving the number of heads minus the number of tails in three tosses of a coin. List the elements of the sample space S for the three tosses of the coin and to each sample point assign a value w of W.

The random variable (x) below represents the number of heads appearing in four tosses of a...

The random variable (x) below represents the number of heads appearing in four tosses of a fair coin: 1) 2 6/16 4 1/16 P(r) 1/16 4/16 4/16 a) Verify that the expected value of (u) of x is 2.0 (show calculations). b) Calculate the standard deviation ofx.
Define a random variable X1: = Number of 'heads' resulting in 5 launches Record 20 values...

Define a random variable X1: = Number of 'heads' resulting in 5 launches Record 20 values of X1. This implies that you must throw the coin 5 x 20 = 100 times. Make a graph x, and where the x-axis shows the possible values of X1 and the y-axis show the frequency (the number of times a particular value of X1 occurred).
A fair coin is flipped independently until the first Heads is observed. Let the random variable...

A fair coin is flipped independently until the first Heads is observed. Let the random variable K be the number of tosses until the first Heads is observed plus 1. For example, if we see TTTHTH, then K = 5. For k 1, 2, , K, let Xk be a continuous random variable that is uniform over the interval [0, 5]. The Xk are independent of one another and of the coin flips. LetX = Σ i Xo Find the...

a. Suppose that a fair coin is tossed 15 times. If 10 heads are observed, determine...

a. Suppose that a fair coin is tossed 15 times. If 10 heads are observed, determine an expression / equation for the probability that 7 heads occurred in the first 9 tosses. b. Now, generalize your result from part a. Now suppose that a fair coin is to be tossed n times. If x heads are observed in the n tosses, derive an expression for the probability that there were y heads observed in the first m tosses. Note the...
Q–2: [5+2+3 Marks] Let X be a random variable giving the number of heads minus the number of tail...

Q–2: [5+2+3 Marks] Let X be a random variable giving the number of heads minus the number of tails in three tosses of a coin. a) Find the probability distribution function of the random variable X. b) Find P(−1 ≤ X ≤ 3). c) Find E(X).
A coin is tossed three times. X is the random variable for the number of heads...

A coin is tossed three times. X is the random variable for the number of heads occurring. a) Construct the probability distribution for the random variable X, the number of head occurring. b) Find P(x=2). c) Find P(x³1). d) Find the mean and the standard deviation of the probability distribution for the random variable X, the number of heads occurring.

Let random variable x represent the number of heads when a fair coin is tossed two...

Let random variable x represent the number of heads when a fair coin is tossed two times. a) construct a table describing probability distribution b) determine the mean and standard deviation of x (round to 2 decimal places)