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- 1. A random variable, X, follows a hypergeometric distribution with N=50, a=10 and n=6. Which of the following is NOT a possible value for X? A. 0 A. 25% 2. A random variable, X, has a mean of 100 and variance of 64. Which of the following is not a possible value for P(84 8) C. 6 A. binomial 3. It is known that the number of misprints on a textbook page follows a Poisson distribution with a mean of 0.004. Which of the following is the standard deviation of the number of misprints on a textbook of 475 pages? B. 0.063 C. 85% D. 10 C. 1.9 D. 95% 4. X is a discrete random variable, which of the following quantities is the same as P(X2 8)? B. 1-P(X 8) 5. Which of the following random variables could have a variance greater than its mean? C. geometric B. hyper-geometric D. 1.378 D. 1- P(X≤8) D. PoissonThe study cited in Exercise 5.3.1 reported an estimated mean serum cholesterol level of 183 for women aged 20–29 years. The estimated standard deviation was approximately 37. Use these estimates as the mean m and standard deviation s for the U.S. population. If a simple random sample of size 60 is drawn from this population, find the probability that the sample mean serum cholesterol level will be: (a) Between 170 and 195 (b) Below 175 (c) Greater than 190Assume that hybridization experiments are conducted with peas having the property that for offspring, there is a 0.75 probability that a pea has green pods. Assume that the offspring peas are randomly selected in groups of 14. Complete parts (a) through (c) below. a. Find the mean and the standard deviation for the numbers of peas with green pods in the groups of 14. The value of the mean is μ = 10.5 peas. (Type an integer or a decimal. Do not round.) The value of the standard deviation is o = (Round to one decimal place as needed.) Values of (Round to one decimal place as needed.) ... b. Use the range rule of thumb to find the values separating results that are significantly low or significantly high. peas. peas or fewer are significantly low. The result (Round to one decimal place as needed.) Values of peas or greater are significantly high. (Round to one decimal place as needed.) c. Is a result of 6 peas with green pods a result that is significantly low? Why or why not?…
- I need help with this question.Which of the following statements are true? There may be more than one true statement; check all that are true. Question 11 options: a) The only reason to carry out an observational study instead of an experiment is if we do not have enough money to run the experiment. b) The variance of the sample mean depends on the sample size and the population variance. c) For large sample sizes, the sample mean will tend to have a normal distribution, whereas for small sample sizes it will tend to have a uniform distribution. d) Randomization can be a useful tool in statistical studies, but only for large sample sizes.Suppose that all the students registered to the probability and statistics course have to buy textbook. The 28 % of all students demand a new book, on the other hand the other 72 % want a used text book. Consider randomly selecting 40 purchasers.a. What are the mean value and standard deviation of the number who want a new copy of thebook?b. What is the probability that the number who want brand-new books is more than 1.5σ awayfrom the mean value?c. The bookstore has 30 new and 30 used textbooks in stock. If 40 people come in one by one topurchase this text, what is the probability that all 40 will get the type of book they want fromcurrent stock? [Hint: Let X = the number who want a new copy. For what values of X will all 40get what they want?]
- PLEASE RESPOND TO THE FOLLOWING QUESTIONS USING THE INFORMATION ON THE IMAGE PROVIDED. 1. Determine and state the critical path for this project 2. What are the expected time and the variance of the project? 3. What is the probability that the project is completed in 22 or fewer weeks 4. What date should be set such that there is a 94% chance of completion within that time?Millo.09.The owner of a fish market has an assistant who has determined that the weights of catfish are normally distributed, with a mean of 3.2 pounds and a standard deviation of 0.8 pound. If a sample of 64 fish yields a mean of 3.5 pounds, what is probability of obtaining a sample mean this large or larger? Question 2 options: 0.0001 0.0013 0.0228 0.4987
- Use the empirical rule to answer the following: Monthly maintenance costs are distributed normally with a µ=$250 and σ=$50. 1) What percent of months have maintenance costs in the range of $200 to $300? 2) What is the chance (i.e. probability) that a randomly chosen month has a maintenance cost of $150 or less? Show your work.Someone claims to have developed a new lightbulb whose mean lifetime is 1800 hours with a standard deviation of 100 hours. Consider these to be your population parameters. One of these types of bulbs was selected at random. What is the probability that it will have a lifetime of less than 1770 hours? Question 5 options: The probability is 0.3821, or 38.21% The probability is -0.3000, or -30.00% The probability is 0.3000, or 30.00% The probability is 0.6179, or 61.79%Find C.