Draw out the following

Lottery games are exceptionally mainstream, however what are the genuine probabilities that a ticket bought will win? Figure the likelihood of winning a portion of the more famous games.

A game that draws 3 digits from 0-9 from three separate machines.

What is the likelihood of winning a "straight" bet by coordinating with the three digits in the specific request?

What is the likelihood of winning a "container" bet by coordinating with the three digits in any request?

What is the likelihood of not coordinating with any numbers on a ticket?

A game that draws 4 digits from 0-9 from four separate machines.

What is the likelihood of winning a "straight" bet by coordinating with the four digits in the specific request?

What is the likelihood of winning a "case" bet by coordinating with the four digits in any request?

What is the likelihood of not coordinating with any numbers on a ticket?

A game that draws 5 digits from 1-49 from a similar machine. At the end of the day, numbers are drawn and not supplanted.

What is the likelihood of winning the big stake by coordinating with every one of the 5 numbers?

What is the likelihood of winning a significant prize by coordinating with 4 of the 5 numbers? Make the estimation accepting the initial 4 qualities are coordinated and the fifth one doesn't.

What is the likelihood of not coordinating with any numbers on a ticket?

A super-uber bonanza game that draws 6 numbers from 1 - 70 from a solitary machine and afterward a Super-Mega-Match ball numbered 1 - 30 from a different machine.

What is the likelihood of winning the Super-Mega big stake by coordinating with every one of the six numbers and the Super-Mega-Match ball?

What is the likelihood of winning the bonanza by coordinating with every one of the six numbers, however not coordinating with the Super-Mega-Match ball?

What is the likelihood of not coordinating with any numbers on a ticket.

State run lottery games will in general compensation out half of what the chances against winning are, gathered together. For example, if the chances against dominating in a match are 499 : 1, the lottery game will pay $250 for a triumphant $1 ticket. This is the manner by which the lottery fund-raises for the state. Complete the table underneath with anticipated payout values for winning $1 wagers utilizing this recipe.

3-Digit Drawing4-Digit Drawing5-Number DrawingSuper-Mega DrawingStraight win:Straight win:Match 5:Super-Mega JacpotBoxed win:Boxed win: Match 4:Jackpot:

Show all work and express the probabilities as the two parts and decimal qualities. Utilize logical documentation where proper.

Find the mean and standard deviation for each Poisson: a. A = 8 [Round your standard deviation to 3 decimal places.] Standard deviation b. x'L = 1? [Round your standard deviation to 3 decimal places] c. A = 3 {Round your standard deviation to 3 decimal places.) Mean Mean Standard deviation - Standard deviation A random sample is selected from a population with a u = 145 and a standard deviation of o' = 18. Determine the mean and standard deviation of the sampling distribution {round to 3 decimal places]. a. n = 14 Mean: Standard deviation: b. n = 25 Mean: Standard deviation: c. n = 3? Mean: Standard deviation: d. n = 55 Mean: Standard deviation: e. n = 115 Mean: Standard deviation: Question 21 (5 points) For the binominal distribution with 10 trials and the probability of success = 0.4, calculate the mean and standard deviation. ( 1) mean = 40, standard deviation = 1.55 ( 2) mean = 40, standard deviation = 2.4 ( 3) mean = 4.0, standard deviation = 1.55 4) mean = 4.0, standard deviation = 2.4 5) mean = 0.4, standard deviation = 2.4 6) mean = 0.4, standard deviation = 1.55