Astudent randomly guesses on 10 true or false questions. use the binomial model to determine the probability that the student gets 5 out of the 10 questions right. show all your steps.

0.02734375

Step-by-step explanation:

Here, the total observation r trials, n = 10

Selected outcomes, r = 5

The probability of getting a right answer, p =

Since, the probability of not getting a right answer, q = 1 - p = 1- 0.5 = 0.5

Thus, By the binomial model,

The probability that of getting r outcomes in the n observation,

Thus, The probability that the student gets 5 out of the 10 questions right,

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< 4, -5>

step-by-step explanation:

starting from g. we move 4 right and then 5 down to get to h. that means the vector is < 4, -5>

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.