FST Ch 8 Review

Question 1

On a pair of die, event A = getting a sum of 5; event B = rolling a 2. Are they independent?

Accepted Answer

no

Question 2

Give a recursive formula for the sequence if the explicit is an = 3 + 2(n-1)

Accepted Answer

a1 = 3; an = an-1 + 2

Question 3

What is the probability that a card drawn for a regular deck is either a jack or a spade?

Accepted Answer

16/52

Question 4

Which of these sequences is geometric?

Accepted Answer

3, 9, 27, 81, 243

Question 5

The first four terms of an artihmetic sequence are 84, 67, 50, 33. Write the explicit formula

Accepted Answer

an = 84 - 17(n-1)

Question 6

Expand the binomial (2x + 5y)3

Accepted Answer

8x3+60x2y+150xy2+125y3

Question 7

What is the coefficent of x3y5 when you expand (2x + y)8?

Accepted Answer

56, 448

Question 8

Does the sequence 80, 60, 45, 33.75, ... have a limit? What is it?

Accepted Answer

yes, 0

Question 9

Can two events be mutually exclusive and independent? If so, what has to occur?

Accepted Answer

yes, either P(A) or P(B) must be zero

Question 10

Complementary events are mutually exclusive...

Accepted Answer

always

Question 11

A committee of three is to be chosen from 13 teachers. How many ways can this occur?

Accepted Answer

286

Question 12

Event A = getting a sum of 5; event B = rolling a 2. Are they mutually exclusive?

Accepted Answer

no

Question 13

Each one of 5 children like 80% of their dinners. Find P(at least 4 like dinner)

Accepted Answer

~74%

Question 14

Which infinite series converges to 35?

Accepted Answer

7 + 5.6 + 4.48 + ...

Questions 14