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ou draw two cards from a standard deck of 52 cards without replacing the first one before drawing the second.

(a) Are the outcomes on the two cards independent? Why?

No. The probability of drawing a specific second card depends on the identity of the first card.

No. The events cannot occur together.

Yes. The probability of drawing a specific second card is the same regardless of the identity of the first drawn card.

Yes. The events can occur together.

(b) Find P(3 on 1st card and 10 on 2nd). (Enter your answer as a fraction.)

(c) Find P(10 on 1st card and 3 on 2nd). (Enter your answer as a fraction.)

(d) Find the probability of drawing a 10 and a 3 in either order. (Enter your answer as a fraction.)

what is the standard deveation

Please help me get the best answer

Statistic and probability cource

This is for FARE 3310. Thanks!

Hey this is from my “Operations Management” course (FARE 3310). I cannot do it, please help. 

Suppose that the waiting time for a license plate renewal at a local office of a state motor vehicle department has been found to be normally distributed with a mean of 30 minutes and a standard deviation of 8 minutes. Suppose that in an effort to provide better service to the public, the director of the local office is permitted to provide discounts to those individuals whose waiting time exceeds a predetermined time. The director decides that 15 percent of the customers should receive this discount. What number of minutes do they need to wait to receive the discount?

Carpet company advertises that it will deliver your carpet within 6 days of purchase. A sample of 36 past customers is taken. The average delivery time in the sample was 6.8 days. The population standard deviation is known to be 2.7 days. Test to determine if their advertisement is legitimate at a significance level 0.05. (Show all steps)

Let X1, . . . , Xn be independent r.v.’s having the Gamma distribution with α

known and β unknown.

(i) Construct the MP test for testing the hypothesis H0: β = β1 against the

alternative HA: β = β2 (β2 > β1) at level of significance α.

(ii) By using the m.g.f. approach, show that, if X ∼ Gamma (α, β), then

X1 +°§ °§ °§+Xn ∼ Gamma (nα, β), where the Xi’s are independent and

distributed as X.

(iii) Use the CLT to carry out the test when:

n = 30, α = 10, β1 = 2.5, β2 = 3, and α = 0.05.

(iv) Compute the power of the test, also by using the CLT.

An assumption made about the value of a population parameter is called

In a sample of 150 men, 135 said that they had less leisure time today than they had 10 years ago. In a random sample of 250 women, 239 women said that they had less leisure time than they had 10 years ago. At α  = 0.10, is there a difference in the proportions?

A data set contains information from a random sample of 120 different female dogs who have bred,
40 of which are labradors, 40 are golden retrievers, and 40 are German shepherds.
The variables are:
• Breed: breed of the dog
• LitterSize: the number of pups in the dog’s most recent litter
The data are contained in the file dogs.sav.

(a) [6 marks] Is there evidence of a difference in the population mean litter sizes for the three
breeds? Be sure to state the null and alternative hypotheses, test statistic, null distribution,
p-value, decision, and an appropriate conclusion in plain language.

(b) [3 marks] If appropriate, perform post-hoc tests to determine which breeds have significantly
different mean litter sizes. If post-hoc tests are not appropriate, explain the purpose of a post-hoc
test and why it’s not appropriate in this example.

(c) [2 marks] Report the 95% pairwise confidence interval for the mean difference in litter sizes
between golden retrievers and German shepherds. Interpret this interval with a sentence in plain
language.

(d) [3 marks] What are the assumptions of the analysis performed in part (a)? State whether
each assumption is reasonable with reference to appropriate SPSS output.

Need help ASAP, thank you! 

A detergent manufacturer claims that the net weights of the boxes sold are 16 kg. This is because the distribution of the weights of all boxes has a normal distribution with a standard deviation of 0.4 kg. You can choose a random sampling. The sampling average of the weights of 16 boxes is 15.84 kg. Test whether the average weight of the population with 16 kg is 10% significance.

Look at the following LP Formulation and identify the parts of the problem by using the matching options below.

-----------------------------------------------------------------------

x = the # of product 1 units made

y = the # of product 2 units made

Max Z = 3x + 4y

S.T.

Raw Materials Constraint 2x + 5y <= 25 pounds

Processing Time Constraint 4x + 1y <= 480 minutes

Non-negativity Constraints x, y >= 0 units

-----------------------------------------------------------------------

4x + 1y <= 480 minutes

Answer 1

x = the # of product 1 units made

y = the # of product 2 units made

Answer 2

Raw Materials Constraint

Answer 3

x, y >= 0 units

Answer 4

pounds, minutes, units

Answer 5

Max Z = 3x + 4y

Answer 6

Suppose that during a recent 45​-year period, there were eight volcanic eruptions sufficiently powerful to reduce the amount of power generated by solar panels by at least 20​% for a period of a year. Call these​ "Class D 20​" volcanoes. Suppose that the return on investment from installing solar panels is often calculated over a 25​-year period. What is the probability​ that, during a 25​-year period, there will be two or more​ "Class D20​" volcanic​ eruptions?

At a university, 61% of the 7400 students are female. The student newspaper reports results of a survey of a random sample of 50 students about various topics involving alcohol abuse, such as participation in binge drinking. They report that their sample contained 26 females.

(a) Show the population distribution of gender at this university

(b) show the data distribution of gender for the sample

(c) Consider the sampling distribution of the sample proportion of females in samples of size 50. State the mean and standard error for this sampling distribution.

You are studying the ages of people afflicted with acne. You collected a random sample of 49 people that have acne and recorded their ages. Using this data, you find that the sample mean age is 18.2 years and sample standard deviation is 18.3 years. Assume that the ages are normally distributed.

To find a 91% confidence interval for the ages of people with acne, what z-value would you need to use?

According to the behavior risk factor surveillance, 58% of all americans have a sedentary lifestyle. Suppose you select a sample of twelve individuals and  find that ten of them do not excercise regularly, Assuming that the Surveillance System is correct, what is the probability that you would have obtained results as bad or worse than expected?

In a survey of college students, 840 said that they have cheated on an exam and 1795 said that
they have not. If one college student is selected at random, find the probability that the
student has cheated on an exam.

what is the standard deviation of this table 

At a university, 61% of the 7400 students are female. The student newspaper reports results of a survey of a random sample of 50 students about various topics involving alcohol abuse, such as participation in binge drinking. They report that their sample contained 26 females.

The company Pro Fish Sales Directors (PFSD ehf.) Maintains a sales department in Alaska and New York. The capelin shortage has put the company in a tight spot and either division needs to be closed. PFSD has obtained samples of sales figures from both places and wants to get you to help decide which department to close. The samples are independent and the company has decided that the decision will be made based on a 95% confidence interval on average sales. In Alaska, the average sale of the sample was ISK 580. a day. The number of sales examined was 29 and the standard deviation is ISK 27. a day. In New York, 11 sales were inspected, the average sales was ISK 500. per day and the standard deviation was ISK 99. a day.

a) PFSD ehf. assumes that the distribution in the sales of the departments is equal. Which division should the company close and why?

Which test should I use? I attached a t-test independent SPSS output. 

Statistics : finding critical value 

This is for Operations Management (FARE 3310). Thanks!

Can you help with short answer homework 

You are studying a small population's proficiency in an endangered language (a language that is at risk of being lost permanently). You have administered a language proficiency test on all those who speak this endangered language and found that their test scores are normally distributed with a mean of 59 points (out of 100 points) and a standard deviation of 4.8 points.
 
Within what range of points will 95% of the population score? (The the mean needs to be in the middle of your range)
The lower boundary of the range (in points) is:
The upper boundary of the range (in points) is:

The duration (in days) of human pregnancies follows approximately the N(266, 16) distribution. How many days would a human pregnancy need to last to be among the top 10% of all pregnancy durations?

Select all of the true statements about a placebo-controlled randomized comparative experiment.

The probability that an appliance is currently being repaired is .5. If an apartment complex has 100 such appliances, what is the probability that at least 60 are currently being repaired? Use the normal approximation to the binomial.

what is the standard deviation of this table 

A carpet company advertises that it will deliver your carpet within 6 days of purchase. A sample of 36 past customers is taken. The average delivery time in the sample was 6.8 days. The population standard deviation is known to be 2.7 days.
Test to determine if their advertisement is legitimate at a significance level 0.05. (Show all steps)

Help with homework

The final exam in a third-year organizational behaviour course requires students to write several essay-style answers. The numbers of pages for a sample of 25 exams were recorded. These data are shown here.
5 8 9 3 12 8 5 7 3 8 9 5 2
7 12 9 6 3 8 7 10 9 12 7 3
a. Draw a histogram.
b. Construct an ogive.
c. Describe what you have learned from the answers to parts a and b.

If A sample of final exam scores is normally distributed with a mean equal to 30 and a varience equal to 16, what raw score is the cutoff for the top 10% of scores?

A headline read, “More than half of Americans Say Federal Taxes Too High.” The headline was based on a random sample of 1026 adult Americans in which 534 stated the amount of federal tax they have to pay is too high.

a. State the null and alternative hypotheses.

b. Check whether np0(1-p0) is greater or equal to 10.

c. Manually calculate the test statistic.

d. Find p-value.

This is a statistics question I need help with finding the lower limit and upper limit.