ISAT - International Student Admissions Probability and Statistical Analysis 2

Question 1

Bag: 5 red, 3 blue, 2 green. Two drawn without replacement. Probability both are red?

Accepted Answer

2/9

Answer

1/4

Answer

5/18

Answer

1/5

Question 2

500 students, heights normally distributed: mean=170cm, SD=8cm. How many are taller than 186cm?

Accepted Answer

About 12-13

Answer

About 25

Answer

About 1-2

Answer

About 50

Question 3

Probability of drawing a King OR a Heart from a standard 52-card deck?

Accepted Answer

4/13

Answer

17/52

Answer

16/52

Answer

1/4

Question 4

A test: 95% sensitivity, 90% specificity. Disease prevalence: 1%. What is the probability a positive result is a true positive?

Accepted Answer

Approximately 8.8%

Answer

95%

Answer

90%

Answer

About 50%

Question 5

Dataset: 12, 15, 18, 18, 20, 22, 25, 28, 30, 35. Calculate the interquartile range.

Accepted Answer

10

Answer

13

Answer

15

Answer

12

Question 6

A fair die rolled three times. Probability of exactly two 6s?

Accepted Answer

5/72

Answer

1/36

Answer

25/216

Answer

15/216