1. Use Multiplication Principle to calculate in how many ways you can select a 3-digit number code...

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Question:

1. Use Multiplication Principle to calculate in how many ways you can select a 3-digit number code for your locker. All single digits (0,1,2,3,4,5,6,7,8,9) should be different. Like 235 or 870 or 061 and so on. To find total number of choices multiply number of choices for the first digit by number of choices for the second digit, times number of choices for the third digit

a) 27

b) 30

c) 720

d) 1000

2. The probability that a college student belongs to a health club is 0.3.

The probability that a college student lives off-campus is 0.4.

The probability that a college student belongs to a health club and lives off-campus is 0.12.

Find the probability that a college student belongs to a health club OR lives off-campus.

P(A or B) = P(A) + P(B) - P(A and B)

a) 0.54

b) 0.58

c) 0.70

d) 0.82

3. x P(x)

0 0.10

2 0.45

3 0.30

Use the requirement for the Sum of All Probabilities in Discrete Distribution to find missing probability in the given table.

a) 0.25

b) 0.20

c) 0.15

d) 0.10

4. x P(x)

0 0.05

1 0.30

2 0.50

3 0.15

Calculate Mean (Expected Value) for Discrete Distribution given in the table.

a) 0.75

b) 1.15

c) 1.50

d) 1.75

Based on the given data calculate the probability that randomly selected student is a boy OR student likes football. Use formula P(A or B) = P(A) + P(B) - P(A and B) For P(A and B) take number of students who are in cell (Boy and Likes Football) and divide by total number of students in this table. Simplify the final fraction.

a) 13

b) 11/16

c) 13/80

d) 5/8