Get college assignment help at uniessay writers A new car salesperson knows that he sells cars to one customer out of 20 who enter the showroom. The probability that he will sell a car to exactly two of the next three customers is
Suppose a simple random sample of size 46 is selected from a population with = 10. Find the value of the standard error of the mean in each of the following cases (use the finite population correction factor if appropriate).
From several yars of sales records, store management has determined that a week demand for some items has a normal distribution with the mean of 563 units, and the standard deviation of 112 units.. What is the probability that the demand for this item in the upcoming week will be between 600 and 700 units
People with albinism have little pigment in their skin, hair, and eyes. The gene that governs albinism has two forms (called alleles), which we denote by a and A. Each person has a pair of these genes, one inherited from each parent. A child inherits one of each parent’s two alleles. independently with probability 0.5. Albinism is a recessive trait, so a person is albino only if the inherited pair is aa. (c)Beth is not albino. What are the conditional probabilities for Beth’s possible genetic types, given this fact? (Use the definition of conditional probability.) Beth knows the probabilities for her genetic types from part (c) of the previous exercise. She marries bob, who is albino. Bob’s genetic type must be aa. (a)What is the conditional probability that a child of Beth and Bob is non-albino if Beth has type As. What is the conditional probability of a non-albino child if Beth has type AA? (b)Beth and Bob’s first child is non-albino. what is the conditional probability that Beth is a carrier, type Aa?
Here is a simple probability model for multiple-choice test. Suppose that each student has probability p of correctly answering a question chosen at random form a universe of possible questions. (A strong student has a higher p than a weak student.) The correctness of an answer to a question is independent of the correctness of answers to other questions. Jodi is a good student for whom p=0.85. (a)Use the Normal approximation to find the probability that Jodi scores 80% or lower on a 100-question test. (b)If the test contains 250 questions, what is the probability that Jodi will score 80%or lower? (c)How many questions must the test contain in order to reduce the standard deviation of Jodi’s proportion of correct answers to half its value for a 100-item test? (d)Laura is a weaker student for whom p=0.75. Does the answer you gave in (c) for the standard deviation of Jodi’s score apply to Laura’s standard deviation also?
“North Carolina State University posts the grade distributions for its courses online. Students in one section of English 210 in the spring 2006 semester received 31% A’s, 40% B’s, 20% C’s, 4% D’s, and 5% F’s. (a)Using the common scale A=4, B=3, C=2, D=1, F=0, take X to be the grade of a randomly chosen English 210 student. Use the definitions of the mean and standard deviation for discrete random variables to find the mean μ and the standard deviation σ of grades in this course. (b)English 210 is a large course. We can take the grades of an SRS of 50 students to be independent of each other. If x-bar is the average of these 50 grades. what are the mean and standard deviation of x-bar? (c)What is the probability P(X≥3) that a randomly chose English 210 student gets a B or better? What is the approximate probability P(x-bar≥3) that the grade for 50 randomly chosen English 210 students is B or better? ”
A certain type of digital camera comes in either a 3-megapixel version or a 4-megapixel version. A camera store has received a shipment of 16 of these cameras, of which 7 have 3-megapixel resolution. Suppose that 5 of these cameras are randomly selected to be stored behind the counter; the other 11 are placed in a storeroom. Let X = the number of 3-megapixel cameras among the 5 selected for behind-the-counter storage.
Suppose X has a uniform distribution on [0,100], calculate the expectation of X given that X > 50
A large cross sectional study reports mutually adjusted odds ratios for associations between waist size, age and sex and the presence of diabetes, as shown in the table below. The study also reports that there was no evidence that the effect of waist circumference on diabetes varied with age or sex, i.e. there was no evidence of statistical interaction or effect modification. What is the odds ratio for diabetes in a man aged 65 compared with a woman aged 60 (both have the same waist circumference)? Explanatory Variable – Adjusted Odds Ratio (95% Confidence Interval) Waist (per cm) 1.05 (1.02,1.07) p0.006 Male Sex 0.75 (0.65, 0.99) p0.001 Age (per year) 1.10 (1.07, 1.12) p<0.001
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1. Write a short report (60 words) explaining the optimal solution (include all the information that you consider relevant) 2. The managers of the company consider that the shipping cost of the route Juarez-New York can be reduced to $5. Would this reduction change the optimal strategy? And the overall cost? 3. The plant in Tel Aviv could increase the production capacity to 250 units with a fixed cost of $300. Would it be worth to increase the capacity? 4. If you could increase the production capacity in one of the plants of your choice. Which one would be the best? Why?”
you are taking a multiple choice quiz that consists of five questions. Each question has four possible answers, only one of which is correct. To complete the quiz, you randomly guess the answer to each question. Find the probability of guessing (a) exactly three answers correctly, (b) at least three answers correctly, and (c) less than three answers correctly
Q1. What are the five (5) broadly divided categories of Statistics and their associate definitions or explanations? The following distribution data is given and apply to Q2 to Q5: Marks less than 10 20 30 40 50 60 70 80 90 No. of Students 4 6 24 46 67 86 96 99 100
A package of candy contains 12 brown, 5 red, and 8 green candies. You grab three pieces from the package. Give the sample space of colors you could get. Order is not important
Mileage test are conducted for a particular model of automobile. If a 98% confidence interval with a margin of error of 1 mile per gallon is desired, how many automobiles should be used in the test? Assume that preliminary mileage tests indicate the standard deviation is 2.6 miles per gallon.
Mean 70 inches and standard deviation of 3 inches. what percent of men would just pass through the door (without any clearance) if the door was 73 inches high?
A computer store has 50 printers of which 35 are laser printers and 15 are ink jet printers. If a group of 10 printers is chosen at random from the store, find the mean and variance of the number of ink jet printers. Please show me the steps to get to the answer
a coin was flipped 60 times and came up heads 38 times (a) at the time .10 level of significance is the coin based towards heads? show your decision rule and calculations (b) calculate a p valu and interpet
On a Saturday evening, 34% of the people in Chicago go out to dinner, 18% see a movie, 13% have a party, and 35% stay home. Seventeen people are randomly selected. Can the probability that exactly 4 of them stay home be computed using a binomial model?
Problem 3 Alice thinks of a number that is either -1 or 1 with equal probability. She tells this number to Tom who is supposed to relay the number to Bob. However, it is known that Tom lies with probability p, where 0 p 1. For example, suppose that Alice told the number 1 to Tom, Tom will tell the number -1 to Bob with probability p, or the number 1 to Bob with probability 1 ô€€€ p. (a) Determine the MAP decision rule that Bob will employ to guess the number Alice chose. Draw a figure to illustrate the decision rule. (Hint: Consider each of the two cases p 0:5; and p > 0:5 separately.) (b) What is the probability of error, i.e. what is the probability that Bob guesses wrongly. (c) For what value of p will the probability of error be the largest? Justify your answer.
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