3.1 An experiment consists of tossing a fair coin 5 times. (a) Find the probability mass...
Homework Answers
a) here as number of trails are independent and probability of head on each event is fixed ; therefore it is binomial distribution with parameter n=5 and p=0.5
hence probability mass function of X:
P(X=x)=
frm above P(X=0)=
=0.03125
P(X=1)=
=0.15625
P(X=2)=0.3125
P(X=3)=0.3125
P(X=4)=0.15625
P(X=5)=0.03125
probbaility distribution function F(x) of X is as follows:
| 0 | x<=0 | ||
| 0.03125 | 0<=x<1 | ||
| 0.1875 | 1<=x<2 | ||
| F(x)= | 0.5 | 2<=x<3 | |
| 0.8125 | 3<=x<4 | ||
| 0.96875 | 4<=x<5 | ||
| 1 | x>=5 |
b)
P(realizing at least 3 heads out of 5) =P(X=3)+P(X=4)+P(X=5) =0.3125+0.15625+0.03125=0.5
Add Answer to:
3.1 An experiment consists of tossing a fair coin 5 times. (a) Find the probability mass...
An experiment consists of tossing a coin 14 times
An experiment consists of tossing a coin 14 times. (a) How many different outcomes are possible? (b) How many different outcomes have exactly 9 heads? (c) How many different outcomes have at least 2 heads? (d) How many different outcomes have at most 10 heads?
An experiment consists of tossing a fair coin (head H, and tail T) three times. The...
An experiment consists of tossing a fair coin (head H, and tail T) three times. The sample space S in this experiment is S = {H, T}, and a possible event E could be E = {H,H}. (1) True. (2) False.
7. A random experiment consists of tossing a coin 4 times. Describe the sample space of...
7. A random experiment consists of tossing a coin 4 times. Describe the sample space of this experiment. In what proportion of all outcomes of the experiment will there be exactly 2 heads?
An experiment consists in throwing a fair coin four times. Findthe pmf and the cdf of...
An experiment consists in throwing a fair coin four times. Findthe pmf and the cdf of the following random variables: (a)the number of heads minus the number of tails; (b)the number of heads times the number of tails.
Find the probability of tossing exactly 2 heads on 3 tosses of a fair coin
Find the probability of tossing exactly 2 heads on 3 tosses of a fair coin.
Example : In tossing a coin once , Find the probability of events ? 1) The...
Example : In tossing a coin once , Find the probability of events ? 1) The event A is the first tossing is heads 2) The event B is the first tossing is tails 3) The event c is the getting is one at least heads 4) The event c is the getting is one at most tails -------------------------------- Example : In tossing a coin once , Find the probability of events ? 1) The event A is the first...
Consider the experiment of simultaneously tossing a fair coin and rolling a fair die
Consider the experiment of simultaneously tossing a fair coin and rolling a fair die. Let X denote the number of heads showing on the coin and Y the number of spots showing on the die. a. List the outcomes in S.b. Find Fx,y(1,2).Part a is easy. It's part b that I don't understand. The answer given in the book is 4/12 but I don't see how they got that.
3. (PMF – 8 points) Consider a sequence of independent trials of fair coin tossing. Let...
3. (PMF – 8 points) Consider a sequence of independent trials of fair coin tossing. Let X denote a random variable that indicates the number of coin tosses you tried until you get heads for the first time and let y denote a random variable that indicates the number of coin tosses you tried until you get tails for the first time. For example, X = 1 and Y = 2 if you get heads on the first try and...
Problem 10) A fair coin is tossed 20 times. A fair coin means that the probability...
Problem 10) A fair coin is tossed 20 times. A fair coin means that the probability of getting a head is the same as the probability of getting a tril. Let X be the number of coins of getting head. Note that there are only two possible outcomes: getting head or tail after tossing the coin X follows a binomial distribution with n =20, p=0.5. Answer the following questions (Question) Find PX-17).
4 PROBABILITY (16) An experiment consists of tossing a fair coin (head and tail T) three...
4 PROBABILITY (16) An experiment consists of tossing a fair coin (head and tail T) three times. The sample space S in this experiment is S - (HT), and a possible event Ecould be E = {H,H). (1) True. (2) False (17) Which of the following statements is true? (1) The set of all possible events of an experiment is called the sample space, S. (2) If an experiment is performed more than once, one and only one event can...
An experiment consists of tossing a fair coin (head H, and tail T) three times. The sample space S in this experiment is S = {H, T}, and a possible event E could be E = {H,H}. (1) True. (2) False.
7. A random experiment consists of tossing a coin 4 times. Describe the sample space of this experiment. In what proportion of all outcomes of the experiment will there be exactly 2 heads?
3. (PMF – 8 points) Consider a sequence of independent trials of fair coin tossing. Let X denote a random variable that indicates the number of coin tosses you tried until you get heads for the first time and let y denote a random variable that indicates the number of coin tosses you tried until you get tails for the first time. For example, X = 1 and Y = 2 if you get heads on the first try and...
Problem 10) A fair coin is tossed 20 times. A fair coin means that the probability of getting a head is the same as the probability of getting a tril. Let X be the number of coins of getting head. Note that there are only two possible outcomes: getting head or tail after tossing the coin X follows a binomial distribution with n =20, p=0.5. Answer the following questions (Question) Find PX-17).
4 PROBABILITY (16) An experiment consists of tossing a fair coin (head and tail T) three times. The sample space S in this experiment is S - (HT), and a possible event Ecould be E = {H,H). (1) True. (2) False (17) Which of the following statements is true? (1) The set of all possible events of an experiment is called the sample space, S. (2) If an experiment is performed more than once, one and only one event can...
Most questions answered within 3 hours.
-
4) Air at 101 kPa and 360 K flows at 15 m/s over a flat plate...
asked 3 seconds ago -
X
company had actual overhead costs of 25,000 in 2007. In its costing
system $30,000 of...
asked 2 minutes ago -
Test the claim that the mean GPA of night students is smaller
than 2.3 at the...
asked 2 minutes ago -
I
don't really undertand what the problems are asking me can someone
help?
142 Chapter 8....
asked 2 minutes ago -
From the following data, C(graphite) + O2(g) → CO2(g) AHrxn = -393.5 kJ/mol H2(g) + O2(g)...
asked 1 year ago -
Q2) All sub problems are related. Show all steps for full credit. Let U and V...
asked 10 minutes ago -
QUESTION 6 Perform the operation and express your answer in scientific notation. 16,000 × 0.0405 0.0003...
asked 23 minutes ago -
6. Please help me solve the following Differential
Equations question. please show work.
Determine the longest...
asked 12 minutes ago -
8. How many gram Na in 5.00g
Na2SO4?
A. 0.035
g
B. 1.31
g
asked 15 minutes ago -
(1 point) A first order linear equation in the form y' + p(x)y = f(x) can...
asked 19 minutes ago -
I need help answering this question A, B, C,D
subset
53. (4 pts.) Two receptors: Muscarinic...
asked 21 minutes ago -
7.- Write a ladder diagram for detecting and controlling the minimum and maximum liquid level in...
asked 27 minutes ago