10 marks for a The following table shows the number of candidates who scored 0, 1, . particular question in an examination. Mark 1 3 4 5 6. 7 8. 9 10 No.of Candidates 8. 10 49 112 98 86 54 37 28 12 Calculate the mean, median and mode of the distribution of marks. What feature of the distribution is suggested by the fact that the mean is greater than the median?
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- When dragons on planet Pern lay eggs, the eggs are either green or yellow. The biologists have observed over the years that 34% of the eggs are yellow, and the rest green. Next spring the lead scientist has permission to randomly select 51 of the dragon eggs to incubate. Consider all the possible samples of 51 dragon eggs.What is the mean number of yellow eggs in samples of 51 eggs? (that is the same as asking for the expected value of the number of yellow eggs)(Give answer correct to at least one decimal place.)mean = What is the standard deviation in the number of yellow eggs in samples of size 51?(Give answer correct to at least one decimal place.)standard deviation = What is the variance in the number of yellow eggs in samples of size 51?(Remember to calculate the answer using at least 5 decimal places, then give answer correct to at least one decimal place.)variance =The sales rep of a waterbed claims that 25% of the Filipino died because of cardiovascular diseases. A researcher wants to test this claim. A hospital record shows that out of a random sample of 200 dead patients, 55 patients died because of cardiovascular diseases. Does the data provide sufficient evidence to support the claim of the sales rep? Use 0.03 level of significance.The manager of a certain bank has recorded the amount of time, recorded to thenearest tenth of a minute, a sample of customers spent waiting in line during peakbusiness hours on a Monday in two of the bank’s branches (one located in the centralbusiness district while the other located in the suburb). REQUIRED: Compute for the sample mean waiting time of customers for each of the twobranches. How do the two branches compare in terms of the mean waiting time?