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Mwema plays a game in which a fair die is thrown once. If the score is 1,2or 3 Mwema loses £10. If the score is 4 or 5 Mwema wins £x..If the score is 6, Mwema wins £2x.


Find the area under the normal curvw to the right of z = 1.63


10.Suppose that a die is rolled twice. What are the possible values that the 

following random variables can take on:

(a) the maximum value to appear in the two rolls;

b) the minimum value to appear in the two rolls;

(c) the sum of the two rolls;

(d) the value of the first roll minus the value of the second roll?


On the basis of 5 years of data the following probability function for a company’s

 

weekly demand for wool was:

Amount of wool (kg) 2500 3500 4500 5500

 Probability 0.35 0.45 0.20 0.05

What was the expected weekly demand for wool based on the distribution?


if all the students with an iq of 87 and lower will be required to attend the remedial program, how many are they?



 

What type of measure scale is being used? Nominal, Ordinal, Interval or Ratio.

a. In month of June, Karachi daily temperature in Fahrenheitfor last five days: 105, 101, 109, 115, 113.

b. School badminton team players categorized by their physical capability: Exceptional, Normal, Weak.

c. The leap years 1984, 1988, 1996, 2008, 2000.

d. Bank Account numbers.

e. Loan in rupees.

f. A questionnaire to assess customer taste about food in a restaurant by number: 1 Excellent, 2 Good, 3 Bad, 4 Poor.

g. Time of order and delivery of food.

h. The dimensions of a picture frame in feet.

i. The 8 colors of paints in a box.



3.The ave. weekly income of IT worker is $719. Given the standard deviation is $70. Compute the probability with earnings of 720 dollars/week for a random sample Of 60 IT workers. DO we need to assume the normal distribution? Explain. (Round-up youranswerforz-score to 2 decimal place.)


In a 90-story office building, the amount of time spent waiting on an elevator after pushing the call button is uniformly distributed between 15 seconds and 120 seconds.

Let X = the amount of time spent waiting on the elevator after pushing the call button.

Find the following probabilities. Round your answers to 4 decimal places, if needed.

What is the probability that a randomly selected person will wait more than a minute for the elevator to arrive?  

P(x < 55) =  

Find the probability that a randomly-selected person will wait between 75 and 100 seconds for an elevator to arrive.  

Find the 80th percentile.   seconds

P(x < 30 | x < 90) =  



A random sample of 337 college students was asked whether or not they were registered to vote. We wonder if there is an association between a student's sex and whether the student is registered to vote. The data are provided in the tables below (expected counts are in parentheses). (All the conditions are satisfied — don't worry about checking them.)


Men Women Total

Registered 104 (102) 147 (149) 251

Not Registered 33 (35) 53 (51) 86

Total 137 200 337


A) write appropriate hypothesis

B) suppose the expected values had not been given. show how to calculate the expected number of men who are registered to vote

C)show how to calculate the component of chi2 for the first cell

D) how many degrees of freedom are there?

E)find the P-value for this test

F)state your complete conclusion in context.


Given Data

dependent variable: Wingspan

sample size: 24

R-sq= 0.8026696

s: 2.1512606


coefficient estimate Std. Err T-Stat P-Value

constant -13.024544 8.5719795 -1.5194324 .1429

height 1.1909246 .125893 9.459816 <.0001


A) write the equation of the regression line. make sure to define all the variables in your equation.

B)interpret the slope of the regression equation in context

C) interpret the value of s in context

D)find and interpret a 95% confidence interval for slope

E) is the relationship wingspan and height a strong relationship? why? give two reasons to justify your answer


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