Tadashi sent 2000 bits of data to Hiro via a noisy channel. Due to the noise, each bit may have an error with probability 0.05. If the errors occur independently, approximate the probability that Hiro receives less than 250 errors.

A tennis match of best of 5 sets is played by two players A and B. The probability that first set is won by A is 1/2 and if he loses the first, then probability of his winning the next set is 1/4, otherwise it remains same. Find the probability that A wins the match.

If 9 people are randomly​ selected, find the probability that no 2 of them have the same birthday. Ignore leap years.

a certain city, projections for the next year indicate there is a 20% chance that electronics jobs will increase by 1400, a 50% chance that they will increase by 400, and a 30% chance they will decrease y 700. Find the expected change in the number of electronics jobs in that city in the next year. he expected change is an increase of jobs.

If two dice are rolled one time, find the probability of getting a sum of 4. Can be written either as a fraction or decimal rounded to 3 places.

There are 6 male students and 17 female students in a class.If you choose 2 students at random, find the probability that both are female.Answer with a fraction or give four decimal places.

Lydia is a project manager and submitted proposals for two different projects, Project X and Project Y to her boss. The probability of getting project X approved is 0.65. The probability of getting project Y approved is 0.77. The probability of getting at least one of the projects approved 0.90. The two projects are independent. True or False

It is equally probable that two signals reach a receiver at any instant of the time T. The receiver will be jammed if the time difference in the reception of the two signals is less than T. Find the probability that the receiver will be jammed.

John can take one of two highways, Interstate A and Interstate B, to get to work each day. The probability that there will be a traffic jam on Interstate A on a given day is 0.65, and the probability that there will be a traffic jam on Interstate B is 0.2. The probability that there will be a traffic jam on at least one of Interstate A or Interstate B is 0.8. Determine the probability that both Interstate A and B will be congested. 0.235 None in the list 0.050 0.062 0.765 Submit Answer Tries 0/3 Determine the probability that Interstate B is congested given that Interstate A is congested. 0.250 0.077 0.812 0.062 None in the list Submit Answer Tries 0/3 Determine the probability that there is a traffic jam on Interstate A given that at least one of the Interstates has a traffic jam. 0.062 None in the list 0.250 0.812 0.077

The sum of two positive quantities is equal to 2n. Find the probability that their product is not less than 3/4 times their greatest product.