The scores from the first test for students in my statistics class have an average of 70 and a standard deviation of 3. The scores from the second test has the same average and standard deviation as scores from the first test. The variance of the score from the second test given that the score in the first test is 65, is 2. Assume the scores of the students in the first test and second test are positively correlated and have a bivariate normal distribution. Calculate the average scores of the students in the second test given that the scores in the first test are 65.

Step-by-step explanation:

From the question we are told that:

Mean

Standard Deviation

Variance

Generally the equation for Variance of Prediction is mathematically given by

Where

Therefore

Therefore

The Average score of student in 2nd test  

total amount of money that he should pay if he has not used his duty free exemption is $98

step-by-step explanation:

given a united states citizen returning to the states declares the following items at the customs office: 3 shirts at $8.50 each 2 dresses at $27.50 each 1 pair of gold cuff links at $17.50 per pair. we have to find how much he pay

cost of 3 shirts if one cost at $8.50 is

cost of 2 dresses if one cost at $27.50 is  

cost of 1 pair of gold cuff at $17.50

so, total amount of money that he should pay if he has not used his duty free exemption is   $25.5+$55+$17.50=$98