Question 8

The daily sales at a convenience store produce a distribution that is approximately normal with a mean of 1150 and a standard deviation of 111.

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In your intermediate calculations, round z-values to two decimal places.

The probability that the sales on a given day at this store are more than \$1405, rounded to four decimal places, is: [removed].
The probability that the sales on a given day at this store are less than \$1305, rounded to four decimal places, is: [removed].
The probability that the sales on a given day at this store are between \$1200 and \$1300, rounded to four decimal places, is: [removed].

Question 3

The following table gives the cumulative frequency distribution of the commuting time (in minutes) from home to work for a sample of 400 persons selected from a city.

 Time (minutes) f 0 to less than 10 64 0 to less than 20 156 0 to less than 30 226 0 to less than 40 287 0 to less than 50 357 0 to less than 60 400

The sample size is:

[removed]

The percentage of persons who commute for less than 30 minutes, rounded to two decimal places, is:

[removed]%

The cumulative relative frequency of the fourth class, rounded to four decimal places, is:

[removed]

The percentage of persons who commute for 40 or more minutes, rounded to two decimal places, is:

[removed]%

The percentage of persons who commute for less than 50 minutes, rounded to two decimal places, is:

[removed]%

The number of persons who commute for 20 or more minutes is:

[removed]

Question 5

The following table gives the two-way classification of 500 students based on sex and whether or not they suffer from math anxiety.
 Suffer From Math Anxiety
 Sex Yes No Male 140 100 Female 195 65

If you randomly select one student from these 500 students, the probability that this selected student is a female is: [removed] (round your answer to three decimal places, so 0.0857 would be 0.086)

If you randomly select one student from these 500 students, the probability that this selected student suffers from math anxiety is: [removed] (round your answer to three decimal places, so 0.0857 would be 0.086)

If you randomly select one student from these 500 students, the probability that this selected student suffers from math anxiety, given that he is a male is: [removed] (round your answer to three decimal places, so 0.0857 would be 0.086)

If you randomly select one student from these 500 students, the probability that this selected student is a female, given that she does not suffer from math anxiety is: [removed] (round your answer to three decimal places, so 0.0857 would be 0.086)

Which of the following pairs of events are mutually exclusive?

 [removed] Female and no
 [removed] Female and male
 [removed] Female and yes
 [removed] Male and no
 [removed] Male and yes
 [removed] No and yes
Are the events “Has math anxiety” and “Person is female” independent or dependent? Detail the calculations you performed to determine this.
INDEPENDANT OR DEPNEDANT

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