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- Test results show that on the first ECON 225 exam 40% of the class received either a B or better. If three students were selected at random what is the probability that all three of them received a B or better.Q.1\ Proof that : AC and B are independent Q.2\ Roll a die, what is the probability that it is larger than or equal to 5, given that it is an even number? A: 25 , B:even numberPart B Assume that in a 6-day weeklong trip during the month of February at a ski resort, the probability of snow on any day is 0.3 Required: a) What is the probability that snow will fall on exactly 3 days of a weeklong trip to that ski resort in February? b) What is the probability that snow will fall on at most 1 day of a weeklong trip to that ski resort in February? (ark c) What is the probability that snow will fall on at least 2 days of a weeklong trip to that ski resort in February? EnP d) Find the expected value and the variance of the random variable x. Ek)
- 23 - 0.20 of a population are carriers of X disease. Find the probability that half of the 10 randomly selected people from this population are carriers of this disease. a) 0.032 B) 0.026 C) 0.075 D) 0.015 TO) 0.044Using a computer program that can generate randomintegers on the interval (0, 9) with equal probabilities, generate 1,000 such integers and use the frequency inter-pretation to estimate the probability that such a randomly chosen integer will have a value less than 1.Test results show that on the first ECON 225 exam 40% of the class received either a B or better. If three students were selected at random what is the probability that all three of them received a B or better.
- A specific apple disease cannot be detected without dividing the apple. In a particular apple batch where the disease occurs, the probability that a random selected apple is infected is set to 0.15. 15 apples are picked random from the apple batch. What is the probability that a) none of the apples are infected. b) one or more of the apples are infected?A message can follow different paths through servers on a network. The senders message can go to one of five servers for the first step, each of them can send to five servers at the second step, each of which can send to four servers at the third step, and then the message goes to the recipients server. (a) How many paths are possible? (b) If all paths are equally likely, what is the probability that a message passes through the first of four servers at the third step?A law professor observed that only 20% of the students who get admitted to the freshmen class usually reached fourth year. Assuming that this is correct, find the probability that among 15 randomly selected first year students, exactly 3 students will reach fourth year?
- Suppose your vehicle is licensed in a region that issues license plates that consist of 2letters (between A and Z) followed by 4 digits (between 0 and 9). If a license platenumber is selected randomly, what is the probability that a plate number selectedstarts with A or B and ends with 1 or 2.At a certain company, passwords must be from 4-6 symbols long and composed from the 26 uppercase letters of the Roman alphabet, the 10 digits 0- 9 and the 14 symbols !, @, %, .., +, {, and }. What is the probability that a password chosen at random has at least one repeated symbol?Number 3