494 Answered Questions for the topic Finite Mathematics

Finite Mathematics

05/04/15

A bised coin with Pr(?)=0.6 is tossed 85 times
 A bised coin with Pr(θ)=0.6 is tossed 85 times. Compute the expected number of times head comes up 
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Finite Mathematics Math Probability Math Help

05/03/15

Compute Pr(-1.54<Z<1.33)
Suppose that Z is standard normal random variable. Compute Pr(−1.54<Z<1.33).(If needed, round answers to 3 decimal places)
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Finite Mathematics Math Probability Math Help

05/03/15

Compute Pr(Z<-1.54)
Suppose that Z is a standard normal random variable. Compute Pr(Z<−1.54).(If needed, round answers to 3 decimal places)
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Finite Mathematics

04/22/15

A fair, 6-sided die is rolled 2 times. Let X denote the value of the first outcome and Y denote the value of the second outcome.
What is Pr(X+Y≤4)?     Once again, I would really appreciate some explanation on how you got the answer. The more details the better! Thanks!
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Finite Mathematics

04/22/15

Finite: A fair coin is tossed 4 times with the outcomes (tails or heads) recorded each time. Define X to be the number of heads recorded. Find Pr(X=3).
I have no idea how to do this. An explanation on how you got to the answer would be really great!
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04/20/15

How many different values are possible for the random variable Y?
involving drawing calculators from a box of working and broken calculators. Assume that the box contains 14 calculators: 12 that work and 2 that do not work. A sample of 3 calculators is selected... more
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04/20/15

How many different values are possible for the random variable X
Assume that the machine yields the item selected 70 percent of the time, and returns nothing 30 percent of the time. Three individuals attempt to use the machine. Let X be defined as the number of... more
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04/20/15

How many different values are possible for the random variable X?
involving the selection of two students from a committee of students. Assume that the committee is made up of 2 males and 5 females. Two are selected at random, and a random variable X is defined... more
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04/20/15

What is the expected value of the coin selected (in cents)?
Assume that the drawer contains 12 coins: 3 quarters, 5 dimes, and 4 nickels. One coin is randomly selected.What is the expected value of the coin selected (in cents)?
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04/15/15

(1) What is the probability that she remembers to bring her briefcase every day in one week (5 days)?
about the professor who sometimes forgets to bring her briefcase to the office, but assume that, each day, the probability that she forgets the briefcase is 1/6. Assume that her forgetting is a... more
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04/15/15

What is the probability that at least one mouse is female, given that exactly one is gray?
Assume that you have 10 mice in the cage: 4 white males, 3 gray females, and 3 gray males. Two mice are selected simultaneously and at random, and their colors are noted.What is the probability... more
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04/15/15

Find Pr[A?B] under each of the following conditions:
events A and B of a sample space S, but assume that Pr[A] = 0.35 and Pr[B] = 0.5. Find Pr[A∪B] under each of the following conditions: (1) If A ⊂ B, then Pr[A∪B] = . (2) If A ∩ B = ∅, then Pr[A∪B]... more
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04/15/15

What is the probability that both balls are red given that the first ball you drew was red?
Assume that each bag contains 5 balls. Bag a contains 3 red and 2 white, while bag b contains 1 red, 3 white, and 1 blue. You randomly select one ball from bag a, note the color, and place the ball... more
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04/15/15

What is the probability that at least one inspector will find a defective widget?
Assume that the box contains 2 defective widgets and 10 acceptable widgets. There are 4 inspectors, each of whom selects a widget from the box at random, inspects it, and then replaces it in the... more
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04/10/15

What is the probability that the student attends at least one class on Monday?
involving a student's attendance at math and accounting classes on Mondays. Assume that the student attends math class with probability 0.65, skips accounting class with probability 0.25, and... more
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04/10/15

What is the probability that the Toyota leaves first?
Assume that there are 8 cars: 2 Chevrolets, 5 Fords, and 1 Toyota. Two cars leave at random, one after the other. Draw a tree diagram and use it to answer the following questions.(1) What is the... more
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04/10/15

What is the probability of getting exactly 4 correct answers?
about a multiple-choice test in which each question has 4 choices only one of which is correct. Assume that 9 questions are answered by guessing randomly.What is the probability of getting exactly... more
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Finite Mathematics Probability Story Problems Sets

04/10/15

What is the probability that the business makes a profit in exactly two of its first three years?
Assume that the business makes a profit with probability 0.3 in the first year. For each year thereafter, the business makes a profit with probability 0.6 if it made a profit in the previous year,... more
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04/10/15

What is the probability that the sum is 11, given that at least one of the numbers rolled is even?
involving the rolling of two fair dice. Answer the following questions.(1) What is the probability that the sum is 11, given that at least one of the numbers rolled is even? (2) What is the... more
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Finite Mathematics

04/09/15

Drawing probability
You're back at it, drawing more stuff at random from a bag. This bag is different, with 5 pieces of chocolate, 2 Starbursts, 6 gummy bears, and 1 gold-encrusted jellybean. You only have three... more
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Finite Mathematics

04/09/15

Probability
There is a 17% probability that Shirley will eat steak for her birthday, and there is a 20% chance that she will eat cake.  If there is a 10% chance that she will eat steak or cake, what is the... more
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04/08/15

Compute the following conditional probabilities
about independent events A and B in a sample space S, but assume that Pr[A] = 0.25 and Pr[B] = 0.3. Compute the following conditional probabilities: (1) Pr[A | B] = (2) Pr[B | A] =
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04/08/15

(1) What is Pr[B] if A and B are independent events? (2) What is Pr[B] if A and B are disjoint events?
For this problem, assume that Pr[A ∪B] = 0.6 and Pr[A] = 0.35.(1) What is Pr[B] if A and B are independent events? (2) What is Pr[B] if A and B are disjoint events?
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04/08/15

Compute the following conditional probabilities
independent events E and F in a sample space S, but assume that Pr[E] = 0.4 and Pr[F] = 0.15. Compute the following conditional probabilities: (1) Pr[E′| F] = (2) Pr[E | F′] =
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04/08/15

Find the associated weights for each outcome.
involving weights of outcomes in a sample space S = { O1, O2, O3, O4 }. Assume that Pr[ { O1, O2 } ] = 0.51, Pr[ { O1, O3 } ] = 0.56, and Pr[ { O1, O2, O3 } ] = 0.77. Find the associated weights... more
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