Analyze the scenario and complete the following:i. Complete the discrete probability distribution for the given variable.ii. Calculate the expected value and variance of the discrete probabilitydistribution.The value of a ticket in a lottery, in which 2,000 tickets are sold, with 1 grand prizeof $4,500, 10 first prizes of $400, 20 second prizes of $100, and 70 third prizes of$50.ii.HP(x)0Round probabilities to 4 decimal placesE(X)=Round to 2 decimal places50Var (X) =Round to 2 decimal places1004004,500

Here the given information is The value of a ticket in a lottery, in which 2,000 tickets are sold,…

Answered: Analyze the scenario and complete the…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

B. Answer the following: 1. MEAN OF DISCRETE RANDOM VARIABLE Find the Expected value or Mean of the following. Show your complete solution. Rafael plays a gambling game where it is possible to lose $2.00, break even, win $4.00, or win $15.00 each time he plays. The probability distribution for each outcome is provided by the following table: a. Outcome -$2.00 $0.00 0.40 $4.00 0.20 $15.00 Probability 0.30 0.10 b. Suppose that the casino decides that the game does not have an impressive enough top prize with the lower payouts, and decides to double all of the prizes, as follows: -$5.00 0.25 -$1.00 0.35 $6.00 0.25 Outcome $10.00 Probability 0.15 c. As in the case of the mean, consider the gambling game in which the casino chooses to lower each payout by $1.00, then double each prize. The resulting distribution is the following: -$6.00 0.30 Outcome -$3.00 $6.00 $12.00 Probability 0.40 0.20 0.10 eLea Com ASCENDENS ASIA
The quality of computer disks is measured by the number of missing pulses. For a certain brand of disks, 80% are generally found to contain no missing pulses. If 100 such disks are inspected, find the probability that 15 or fewer contain missing pulses. Paragraph BI
In the binomial distribution the important point is that the two a. Events and expected b. Events are complementary C. All Above d. outcomes are complementary
Construct a probability distribution curve for the experiment and random variable. a. EXPERIMENT: Randomply picking 3 children in an orphanage with equal number of boys and girls to join a family. (B = boy ; G = girl) b. RV: Y which represents the number of girl to be picked.
3. Construct a probability distribution for the data and draw a histogram for the following: a. A die is loaded in such a way that the probabilities of getting 1, 2, 3, 4, 5, and 6 are 1/2, 1/6, 1/12, 1/12, 1/12, and 1/12 respectively. P(X) b. A box contains 3 $1 bills, 2 $5 bills, 1 $10 bill, and 1 $20 bill. P(X)
The national soccer team headed by Daniel plays soccer 3 times a week. The team plays soccer, 0 days is 0.2 probability, they play 1 day is 0.25 probability, they play 2 days is 0.5, and they play 3 days otherwise. a. Construct a probability distribution table. b. Find the long-term average, or expected value of the days per week the national soccer team plays soccer.
. If tossing a loaded coin gives heads 60% of times, what is the likelihood (probability) of observing heads 50 times or fewer out of 100 tosses? 12 The probability of observing heads 50 times or fewer out of 100 would be 0.03 or 3 percent. use excel.
3. For each experiment, fill in the blank with the letter for the probability histogram that corresponds to the quantity indicated. Experiment 1: A gambling game has a 30% chance of winning $2 and a 70% chance of losing $1. We play the game 100 times and keep track of the net amount won or lost. Experiment 2: We flip a coin 40 times and keep track of the number of heads. 0.08 90'0 0.12 0.08 0.04 000 0 0 20 10 40 20 60 8 80 30 (a) 100 (c) (e) 40 0.00 0.012 0.008 1000 0000 -100 -50 -100 -50 0 0 50 T 50 (b) 100 150 200 30 (d) (f) 100 150 200
4. The election return showed that a certain candidate received 65% of the votes. Find the probability that two random samples, each consisting of 200 voters, indicated a greater than 10% difference in the proportions that voted for the candidate.
2. A police lieutenant records the number of police blotter filed each day in their city. Based on his records, the probability distribution of the number of police blotters filed each day is in the table below. The city mayor claims that the crime rate is in its all-time low with only 2 blotters being filed each day. Determine the mean of the probability distribution shown and decide if the mayor's claim is valid. Number of students (X) 0. 1 2 3 4 Probability P(X) 0.33 0.13 0.23 0.15 0.16 Show your solutions here: P (X) X.P (X) SPOR 0.33 1 0.13 दश्य 0.23 2188.9 3 0.15 4 0.16 300 2500.10/ 70.0/- 24.0 20.2 2000.0 20.0- 2.

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS