Question:

Assume you have two boxes An and B. Box A contains 7 dark marbles, 4 white marbles. Box B contains 7 white and 4 dark marbles. An arbitrary test is acted in two consecutive preliminaries by first drawing a marble arbitrarily from enclose An and putting to Box B. In the second preliminary after the principal preliminary, a marble is drawn arbitrarily from box B.

Answer the accompanying inquiries.

Are the two preliminaries autonomous or subordinate? Offer motivations to help your response

Draw a likelihood tree outline to show the execution of this arbitrary trial.

What is the likelihood of drawing a white marble from box B toward the finish of second preliminary?

What is the likelihood of drawing a dark marble from box B toward the finish of second preliminary?

Distinguish every one of the totally unrelated occasions present in the given situation and check that they

are fundamentally unrelated.

In the event that we switch the situation, what is the likelihood of drawing a dark marble from

box A given that a white marble is drawn from box B.

Toward the finish of summer, the complete load of seeds aggregated by a home of seed-assembling insects will fluctuate from one home to another. On the off chance that the normal all out weight of seeds assembled by an arbitrarily picked home is 5 pounds, and the standarddeviationis0.5pounds,whatistheprobabilitythatthetotalcombinedweightoftheseedsgatheredby100 homes will be bigger than 495 pounds before the finish of the following summer? To respond to this inquiry most precisely, given the data accessible, we would utilize:

(8)

1. Chebyshev's hypothesis 2.Markov's hypothesis (3.The Central Limit Theorem 4.The joint likelihood that the heaviness of seeds is bigger than 5 pounds in each home.

Assume you have two boxes An and B. Box A contains 7 dark marbles, 4 white marbles. Box B contains 7 white and 4 dark marbles. An arbitrary test is acted in two successive preliminaries by first drawing a marble haphazardly from enclose An and putting to Box B. In the second preliminary after the principal preliminary, a marble is drawn haphazardly from box B.

Answer the accompanying inquiries.

What is the likelihood of drawing a dark marble from box B toward the finish of second preliminary?

Distinguish every one of the totally unrelated occasions present in the given situation and check that they are totally unrelated.

Assuming we invert the situation, what is the likelihood of drawing a dark marble from box A given that a white marble is drawn from box B.

Assume in a class there are 170 understudies. Of those 170 understudies, 90 are guys and 80 are females. Among 90 male understudies, 55 like playing the sport of football and 35 don't care for it. Among 80 female understudies, 10 like playing the sport of football and 70 don't care for it.

Address this data as a cross classification or likelihood possibility table.

Show likelihood tree outlines for every one of the conceivable irregular occasions that can happen (with their probabilities) if an understudy is picked haphazardly in this class.

3. What are the two types of variance that are examined when conducting an analysis of variance? Simple analysis of vaptanwe the way analysis of rananu 4. Which type of variance is related to the effect of a treatmem" 5. Does the analysis of variance test differences between two specific groups? Use the One-way ANDVA function in SPSS to answer the questions based on the following scenario. (Assume a critical level of significance of 05). A researcher is interested in determining if participation in extracurricular activities affects academic performance. High school students are randomly assigned to one of three conditions; no activities, some activities, many activities. The data from the final exam scores are as follows: No activities: 75 74 66 79 62 68 59 73 76 69 Some activities: 78 85 85 77 81 76 90 85 73 80 Many activities: 58 70 58 59 62 55 58 63 67 59 6. Write an appropriate null hypothesis for this analysis. There is rodul mean score of students when they a assigned To 7. What is the observed or computed value of F? 8. How would you explain the procedure for determining the degrees of freedom the Between Groups variance (numerator)? 9, How would you explain the procedure for determining the degrees of freedom the Within Groups variance (denominator)? Wo. What is the value of the Between Groups degrees of freedom? 11. What are the value for the Within Groups degrees of freedom? 12. What is the reported level of significance? 13. Based on the reported level of significance. would you reject the null hypoWhich of the following statements is true about the correlation coefficient? Multiple Choice O A negative correlation coefficient indicates a direct relationship between two quantitative variables, O A positive correlation coefficient Indicates an indirect relationship between two quantitative variables. O A correlation coefficient of zero means that two quantitative variables are not linearly related to each other O The correlation coefficient ranges in value from -3 to +3,Select the following statements which are true about correlation coefficient. C] Correlation coefficients can be either positive or negative, but must be within 1 and 1. C] Aweak, positive relationship could have a correlation coefficient of 0.86. C] Correlation coefficients ignore all outliers, providing an overview on the strength and direction of the general association. C] Correlation coefficient measures the direction and strength of any association. C] A strong, negative relationship could have a correlation coefficient of O.86. C] Correlation coefficient shares the same units as variance, that is, units squared. C] As correlation coefficient approaches infinity, the correlation gets stronger. For example, a correlation coefficient of 500 would be much stronger than a correlation coefficient of 100. Select the following statements which are true about correlation coefficient. [3 A weak, positive relationship could have a correlation coefficient of 0.86. [3 As correlation coefficient approaches infinity, the correlation gets stronger. For example, a correlation coefficient of 500 would be much stronger than a correlation coefficient of 100. C] Correlation coefficients ignore all outliers, providing an overview on the strength and direction of the general association. [3 Correlation coefficient shares the same units as variance, that is, units squared. [:J A strong, negative relationship could have a correlation coefficient of 43.86. [3 Correlation coefficients can be either positive or negative, but must be within 1 and -1. [3 Correlation coefficient measures the direction and strength of anyr association