Nasee construction Co. is analyzing the probability of a bidding for the construction of. a new building. In the past, Nasee's main competitor, Nana construction Co. has submitted bids 90% of the time. if NANA bids on a project, the probability that NASEE will get the project is 10%. However, if NANA does not bid on a project, NASEE's probability of getting the project increases to 70%. if NASEE gets the project, what is the probability that NANA did not bid.?

Nasee construction Co. is analyzing the probability of a bidding for the construction of. a new building. In the past, Nasee's main competitor, Nana construction Co. has submitted bids 70% of the time. if NANA bids on a project, the probability that NASEE will get the project is 20%. However, if NANA does not bid on a project, NASEE's probability of getting the project increases to 80%. if NASEE gets the project, what is the probability that NANA did not bid.?

Lifetime of a particular laptop is exponential random variable with average of 5 years. A company orders 100 of such laptops. Find the probability that there are more than 20 laptops still in operation after 6 years from the date of purchase. (Hint: First compute the probability of one laptop still being in operation after 6 years. That will be the probability of ”success”. Then compute the probability that you’ve at least 20 out of 100 with that property.)

The probability that an individual without a college education earns more than $100,000 is 0.2, whereas the probability that a person with a B.S. or higher degree earns more than $100,000 is 0.6. The probability that a person chosen at random has a B.S. degree is 0.5. What is the probability that a person has at least a B.S. degree if it is known that he or she earns more than $100,000? (Round your answer to four decimal places.)

(i) If volume is high this week, then next week it will be high with a probability of 0.9 and low with a probability of 0.1.
(ii) If volume is low this week then it will be high next week with a probability of 0.4.

Assume that state 1 is high volume and that state 2 is low volume.

(1) Find the transition matrix for this Markov process.

P =

[.9 .1]

[.4 .6]

What is the probability that volume will be high for three consecutive weeks?

An urn contains 6 red balls, 7 white balls, and 8 blue balls.

a) If three balls are sampled without replacement, find probability that all are different colors

b) If three balls are sampled with replacement, find the probability that are different colors.

c) i n balls sampled with replacement, find probability that all are red.

d) If nballs sampled with replacement, find the probability that all are the same color.

An ordinary deck of playing cards has 52 cards. There are four suits-​spades, ​hearts, diamonds, and clubs with 13 cards in each suit. Spades and clubs are​ black; hearts and diamonds are red. If one of these cards is selected at​ random, what is the probability for a nine, black, not a heart

The probability of selecting a nine is:
The probability of selecting a black card is:
The probability of selecting a card that is not heart is:
(type an integer or a simplified fraction for all answers)

Fire Fighters A house in Pana, Illinois was found to be so infested with cockroaches, that city council ordered fire fighters to burn it down rather than call in professional exterminators to deal with the problem. The town has three fire engines operating independently. The probability that a specific fire engine is available when needed is 0.96.

(a) What is the probability that none are available when needed?

(b) What is the probability that all three fire engine are available when needed?

(c) What is the probability that at least one engine is available?

(d) What is the probability that at least one engine is available?