Question

# An unbiased coin is tossed 15 times. 1. Find the probability that the coin lands heads...

An unbiased coin is tossed 15 times.

1. Find the probability that the coin lands heads exactly 9 times. a. 0.0003 b. 0.3571 c. 0.6429 d. 0.1527 e. 0.4213

2. Find the probability that the coin lands tails at most 3 times. a. 0.0002 b. 0.0037 c. 0.5000 d. 0.0176 e. 0.8723

3. Find the probability that the coin lands heads at least 3 times. a. 0.0005 b. 0.9963 c. 0.9333 d. 0.0003 e. 0.8890

A computer stores receives a box of a certain video game. The box contains 35 games of which 4 are defective. A quality-control inspector randomly chooses 6 games from the box.

4. What is the probability that exactly 2 are defective? a. 0.0111 b. 0.0075 c. 0.1667 d. 0.8333 e. 0.1163

5. What is the probability that 0 are defective? a. 0.05410 b. 0.45361 c. 0.15473 d. 0.00029 e. 0.92445

6. What is the probability that at most 3 are defective? a. 0.9997 b. 0.6102 c. 0.5464 d. 0.8957 e. 0.2189

Carrie draws 5 cards simultaneously from a well-shuffled deck of 52 playing cards.

7. What is the probability that she chooses 3 spades and 2 cards that are not spades? a. 0.7692 b. 0.0782 c. 0.2308 d. 0.2743 e. 0.0815

8. What is the probability that she chooses 2 red face cards? a. 0.4308 b. 0.2273 c. 0.0876 d. 0.0962 e. 0.1736 Use the following problem to answer questions 9 and 10. A group of 27 people contains 13 males and 14 females. Six people are chosen at random.

9. What is the probability that 1 female is chosen? a. 0.1826 b. 0.0011 c. 0.0654 d. 0.3442 e. 0.0609

10. What is the probability that at most 1 male is chosen? a. 0.3021 b. 0.0981 c. 0.0909 d. 0.2044 e. 0.6596

1)

probability that the coin lands heads exactly 9 times=15C9(0.5)9(0.5)6 =0.1527

2)probability that the coin lands tails at most 3 times=0.0176

3) probability that the coin lands heads at least 3 times=0.9963

4) probability that exactly 2 are defective=0.1163

5)probability that 0 are defective=0.4536

6)probability that at most 3 are defective =0.9997

7)probability that she chooses 3 spades and 2 cards that are not spades=0.0815

8)probability that she chooses 2 red face cards=0.0876

9) probability that 1 female is chosen=0.0609

10) probability that at most 1 male is chosen=0.0981

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