Question

Homework #6

which of the following values cannot be probabilities of events.

select all that apply.

15, 0.94, -0.59, 1.58, 53, 0.0, -27, 1.0

#3.
In a group of people, some are in favor of a tax increase on rich people to reduce the federal deficit and others are against it. (Assume that there is no other outcome such as "no opinion" and "do not know.") There persons are selected at random from this group and their opinions in favor or against raising such taxes are noted. How many total outcomes are possible?

#4. Show outcomes and classify events are simple and compound.

An automated teller machine at a local bank is stocked with $10 and $20 bills. when a customer withdraws $40 from the machine, it dispenses either two $20 bills or four $10 bills

Let T= the ATM dispenses two $20 bills.
Let F= the ATM dispenses four $10 bills.
Two customers withdraw $40 each

Part 1.

How many outcomes are there?

#5. A hat contains 33 marbles. Of them, 18 are red and 15 are green. If one marble is randomly selected out of this hat, what is the probability that this marble is green?

Round your answer to two decimal places.

P(A)=

#6. A regular, six-sided die is rolled once .

Round your answers to four decimal places.

(a) What is the probability that a number less than 4 is obtained?

P( a number less than 4 is obtained)=

(b) what is the probability that a number 3 to 6 is obtained?

P( a number 3 to 6 is obtained)=

#7. A random sample of 1498 adults showed that 812 of them have shopped at least once on the internet. What is the (approximate) probability that a randomly selected adult has shopped on the internet.

Round your answer to three decimal places.

#8 Out of the 3572 families who live in an apartment complex in New York City, 623 paid no income tax last year. What is the probability that a randomly selected family from these 3572 families paid income tax last year?

Round your answer to three decimal places.

#9. A television game show has a game called the shell game. The game has six shells, and one of those six shells has a ball under it. The contestant chooses one shell. If this shell contains the ball, the contestant wins. If a contestant chooses one shell randomly, what is the probability of each of the following outcomes.

(a) contestant wins?

Round your answer to two decimal places.

P( the contestant wins)=

(b) contestant loses

Round your answer to two decimal places.

P( the contestant loses)

Do these two probabilities add up to 1.0?

#10. In a large city, 15,000 workers lost their job last year. Of them, 7900 lost their jobs because their companies closed down or moved, 4200 lost their jobs due to insufficient work, and the remainder lost their jobs because their position were abolished.

(a) If one of these 15,000 workers is selected at random, find the probability that this worker lost his or her job because the company closed down or moved.

The Probability is=

(b) If one of these 15,000 workers is selected at random, find the probability that this worker lost his or her job due to insufficient work.

The probability is=

(c) If one of these workers is selected at random, find the probability that this worker lost his or her job because the position was abolished.

The Probability is=

Do these probabilities add up to 1.0?

Answer 1

#6

which of the following values cannot be probabilities of events.

select all that apply.

15, 0.94, -0.59, 1.58, 53, 0.0, -27, 1.0

Ans: Probability of the event is always lies between 0 to 1. Hence 15 , -0.59 , 1.58 , 53, -27 these values can not be the probabilities.

#3.
In a group of people, some are in favor of a tax increase on rich people to reduce the federal deficit and others are against it. (Assume that there is no other outcome such as "no opinion" and "do not know.") There persons are selected at random from this group and their opinions in favor or against raising such taxes are noted. How many total outcomes are possible?

Ans: There are total 3 outcomes are possible.

first possibility is all the people in favor of a tax increase on rich people

second possibility is all the people against a tax increase on rich people

and third possibility is that mixture of first and second possibilities.

#5. A hat contains 33 marbles. Of them, 18 are red and 15 are green. If one marble is randomly selected out of this hat, what is the probability that this marble is green?

Round your answer to two decimal places.

P(A) = 15/33 = 0.45.

#6. A regular, six-sided die is rolled once

Round your answers to four decimal places.

(a) What is the probability that a number less than 4 is obtained?

P( a number less than 4 is obtained) = Pr( number will be 1 or 2 or 3 ) = (1/6 + 1/6 + 1/6 ) = 3/6 = 0.5000

(b) what is the probability that a number 3 to 6 is obtained?

P( a number 3 to 6 is obtained) = Pr( number will be 3 or 4 or 5 or 6 ) = ( 1/6 + 1/6 + 1/6 + 1/6 ) = 4/6 = 0.6667

#7. A random sample of 1498 adults showed that 812 of them have shopped at least once on the internet. What is the (approximate) probability that a randomly selected adult has shopped on the internet.

Pr ( a randomly selected adult has shopped on the internet ) = 812/1498 = 0.542

Round answer to three decimal places.

#8 Out of the 3572 families who live in an apartment complex in New York City, 623 paid no income tax last year. What is the probability that a randomly selected family from these 3572 families paid income tax last year?

Ans: Out of the 3572 families who live in an apartment complex in New York City, 2949 ( 3572 - 623) paid income tax last year.

Pr ( a randomly selected family from these 3572 families paid income tax last year ) = 2949/3572 = 0.826

Round answer to three decimal places.