The grade of a course is based on two exams: the midterm and the final, each of 100 points maximum and counts 50% of the grade. The professor grades the midterm by randomly assigning each student a score independently of other scores of mean 73 and standard deviation (which is the square root of the variance) of 15. The professor grades the final by randomly assigning each student a score independently of other scores of mean 68 and standard deviation of 10. The number of students in the class is 64. 1. Estimate the probability that the midterm class average is 70% or more.
2. Estimate the probability that the final class average is 70% or more.
3. Estimate the probability that the course class average is 70% or more.
Use the Central Limit Theorem. Give numerical answers.

see below

step-by-step explanation:

7.   there are 10 data points in the set.   the middle point is between 5 and 6.   the middle point in the top half is 8   and the middle point in the bottom half is 3. to find the iqr , take point 8 and subtract point 3

mid term   point 8 = 100   point 3 = 88

iqr = 100-88 = 12

final   point 8 = 93   point 3 = 78

iqr = 93 - 78 = 15

the final has the greatest iqr

6.   b - there is a high data value that causes the data set to be asymmetrical for the males: the data for males are high and asymmetrical .   there is an outlier for the males that skews the data

5.   the   iqr is a better measure of spread for the movies and basketball games.   since the basketball game has an outlier, we do not want to use standard deviation for measurement.  

3.   the exam median is much higher than the class median.   the median line is farther to the right on the exams

2.   there is no way to tell what the means are from the box and whisker plots.  

rick has $1400 and sally has $1500

step-by-step explanation:

to find amount of money rick has after 10 years :

principal = $1000 , time = 10 years , rate = 4% annually

to find amount of money sally has after 10 years :

her friend gives to pay her $50 per year, therefore money she has after 10 years = 50 × 10 = $500

also, sally gets $1000 after 10 years,

therefore, total amount of money sally has after 10 years = 500 + 1000 = $1500

so, after 10 years : rick has $1400 and sally has $1500

what graph

step-by-step explanation:

according to egenuity the answer is

step-by-step explanation:

d. 344.22