A system contains two subsystems connected in parallel, such that the system can function properly if at least one subsystem can function properly. Let the probability is 0.85 for each subsystem to function properly and assume the subsystems function independently. What is the probability that the whole system can function properly

0.9775 or 97.75%

Step-by-step explanation:

The probability of each subsystem failing is 0.15. Since the system functions properly with at least one subsystem, the probability that it functions properly is 100% minus the probability of both subsystems failing:

The probability that the whole system can function properly is 0.9775 or 97.75%

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.  

two data sets with the same median will not have the same varaibility

step-by-step explanation: