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x= 0, 1, 2, 3, 4, 5

p(x)= 0.1,0.3,0.4,0.1,?,0.5

find p(4)

construct probability histogram to describe p(x)


Construct a t-distribution with a sample size of 16 and a confidence level of 97.5%, where




in the critical value is on the left tail

pls include solutions

Toss a coin five times.

a. Draw the diagram.

b. List the number of heads that will occur.

c. Tabulate the probability distribution for the number of heads.


why does the alternative hypothesis is greater than even though there's no word in a claim that simbolizes that its greater than?

a printer manufacturing company claims that its new ink-efficient printer can print an average of 1600 pages of word documents with standard deviation of 62. thirty-five of those printers showed a mean of 1585 pages. does this support the company’s claim? use 95% confidence level.


In a learning style study,1200 respondents were asked if they can assimilate concepts while watching television 586 said yes find a 90% confidence interval for the population proportion p.



The error is approximately:


The lower limit and the upper limit are?

The mean gasoline consumption of 10 cars is 28 liters with standard deviation of 1.6 liters.Find the point interval estimates using 35% confidence level.



The lower limit is approximately:


The upper limit is approximately:

Please give also the solution:)

Toss a coin five times.

a. Draw the diagram.

b. List the number of heads that will occur.

c. Tabulate the probability distribution for the number of heads.


1. The owner of a factory that sells a particular bottled fruit juice claims that




the average capacity of a bottle of their product is 250mL and standard




deviation of 3 ml. A random sample of 50 bottles of fruit juice have a mean




volume of 245 ml. At a level of significance of 5%, is there a sufficient




evidence to the support the claim of the owner?




a. What is the null hypothesis?




__________________________________________________




b. What is the alternative hypothesis?




__________________________________________________




c. What is the level of significance?




__________________________________________________




d. What is/are the critical value/

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