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how do you find the summation on the calculator when using bernoulli to binomial?


The heights of WNBA basketball players are normally distributed. What percentage of these heights is within 2 standard deviations of the mean? 



The age of the population in Wakanda is shown in the following table in the form of a grouped frequency distribution.

  Age (years)

  Number (‘000)

 0 Under 5

5 under 15 15 under 30 30 under 50 50 under 65 65 under 80 80 under 100

Total

Use the data in the table above to estimate for of population in Wakanda the:

1 375.3 2 750.5 4 514.7 6 137.7 3 821.7 2 045.7 783.2

        100 under 110

what is the modal age?



what is the solution of 99th percentile?


(c) A group of amateur athletes ran 1000 m. The mode, median, and mean times were 230 seconds, 235 seconds, and 240 seconds respectively. The standard deviation of the times is 40 seconds.


i. Explain why the times cannot be normally distributed.


ii. Sketch a possible curve to show the distribution of the times.


Thirty of these athletes are selected at random. Find the probability that the average of their times is more than 255 seconds. Explain why it is possible to use the normal distribution to find this probability.


 The owner of a mobile phone store in Greenhills shopping center was not happy when he learned that the average number of cellphones sold daily was 8 items only. He hired a new seller and was told to tally the daily sales for 20 days. The new sale records are 9, 9, 9, 8, 9, 9, 11, 12, 12, 16, 10, 12, 8, 11, 17, 18, 15, 14, 17, and 14. by using the default significant level do the collected data enough to indicate that their sale got increased?


In a study designed to determine patient acceptance of a new pain reliever, 100 physicians

each selected a sample of 25 patients to participate in the study. Each patients, after trying the

newpain relief for a specified period of time, was asked whether it was preferable to the pain

reliever used regularly in the past. The results of the study are shoewn in the table given below.

No.of patients out of 25 preferring new pain reliver

X

0 1 2 3 4 5 6 7 8 9 10

number of doctors reporting this number

Frequency

5 6 8 10 10 15 17 10 10 9 0

We are interested in determining whether or not these data are compatible with the hypothesis

that they are drawn from a population that follows a binomial distribution.


On a test in Statistics, the mean is 45 and the standard deviation is 5. Assuming normality, what is the standard score of a student who receives a score of 40?


Find the area under the normal curve between z = -0.46 and z = 1.55


let X1 , X2 ,...,Xn be independent and identically distribution b (1,p) random variables. obtain a confidence internal for p using chebychev's inequality


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