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Assume a class has scores which follow normal distribution with mean of 75 and standard deviation of 15 N~(75,15). An 80 or above is an "A". Randomly pick 5 students.
Suppose adults have IQ scores which are normally distributed with mean of 100 and standard deviation of 15. Determine the probability that a randomly selected adult has IQ < 115
Suppose x is continuous random variable and c a constant. Verify following very significant identities using the definitions of mean and variance of random variable.
If the fraction of defective parts on a production line is known to be 3%: What is the probability that a sample of 40 parts will contain exactly 2 defectives?
Determine the total of the sum of squares and degrees of freedom? What is the mean squares of treatment and error? What is the F-test statistic of Treatment?
You're interested in knowing the GPA of each of your students in your English class. The class has 18 students and average GPA of 3.31. In order to find out the individual GPA's you ask each student
Point out why a correlation would be the appropriate analysis for this research question. Explain the variables and their scale of measurement. Describe the expected outcome (i.e., positive, negative,
What is chance of obtaining 5 heads and 15 tails when we toss the fair coin 20 times? Answer should be simplified fraction a/b. Hint: The answer can be found using n =20 in pascal triangle or using
The director of career advising at the Orange Community College desires to employ decision analysis to give information to help students decide which 2-year degree program they should pursue.
A player joins the game and strangely loses the first 5 games. Determine the probability that it would take more than 5 games in order to win her first game?
AAA Oil Company sells cans of oil that have 33.814 ounces of their product. Government regulators say that at least 98% of cans should contain 33.814 ounces ounces or more.
A security consultant has observed that attempts to breach the security of the company's computer system occurs according to a Poisson process with a mean rate of 2.2 attempts per day. (The system i
Throughout rush hour, vehicles pass through junction at average rate of 360 vehicles per hour. Based upon this information: Compute the probability that no cars pass through this junction in a given m
A volleyball team has 70% chance of winning each point while it is the serving team. As soon as the serving team fails to score, it should give up service. Determine the probability that the score w
1) Assume that a bowl contains 3 red chips and 3 blue chips. Two chips are withdrawn and discarded. Then the third chip is withdrawn. Given that the third chip is red, determine the probability that
For the draw of single card from a well shuffled deck, show that the events H, J, that is the card is a heart or jack respectively, are independent.
The commute time, in minutes, of residents of Ontario County is known to follow a skewed right distribution with µ = 20 minutes and ? = 10.5 minutes.
Determine three conditions where the measured output of process has a small variation and three situations where the variation is larger (for instance, the time for a phone call to ring the other ph
Why, when dealing with two independent samples where you cannot assume the population variances are equal, should the degrees of freedom be adjusted?
There are two children in family. At least one is boy born on Wednesday. Suppose a uniform distribution of births upon each of the 7 days of the week: 1/7th each day from Sunday through 1/7th upon S
Translate the excerpt below in confidence interval for p and approximate the value of the level of confidence, C In a survey of 8414 adults, 31.2% said they were taking vitamin E as a supplement. Th
Determine your expected winning in this game? (Show work and round the answer to two decimal places). Determine the standard deviation of the probability distribution? (Show work and round the answer
loth is sold by bolt where the bolt is 15 yards of material. If the expected number of blemishes per yard is 0.1 find the probability that:
Determine the probability that the number of requests in hour is between 8 and 10 inclusive? Provide your answer to four decimal places.
Assume you've a single data value M sampled from Gamma(6, P) distribution and you'd like to develop a confidence interval for P. But, you have only a M2 table of percentiles available.