Please check my answers and help me understand what I did wrong. And, how I plug it in to my TI-84 calculator, i answered wrong?

1. Identify the parameter p in the following binomial distribution scenario. A basketball player has a 0.463 probability of making a free throw and a 0.537 probability of missing. If the player shoots 17 free throws, we want to know the probability that he makes no more than 6 of them. (Consider made free throws as successes in the binomial distribution.)

Do not include 'p=' in your answer.

My answer = .463

2. In a large population, about 10% of people do not like the taste of cilantro, an herb used in cooking. A researcher takes a random sample of 15 people and surveys whether they like cilantro.

Use the binomial distribution to compute the probability that exactly 6 of the people in the sample do not like cilantro.

Identify the following information required to find the probability of people who do not like the taste of cilantro.

n = 15 trials successes = .10 p = 6 probability of not liking cilantro

3. A casino features a game in which a weighted coin is tossed several times. The table shows the probability of each payout amount. To the nearest dollar, what is expected payout of the game?

Payout Amount / Probability $200 0.126 $3800 0.03 $190000 0.0002

My answer = 177

4. A survey asked recently retired people how many different employers they had during their working lives. The table below is a probability distribution table representing the data collected. Find the mean and the standard deviation of the probability distribution using a TI-83, TI-83 Plus, or TI-84 graphing calculator.

Round the mean and the standard deviation to two decimal places.

x P(x)

1 0.0852

2 0.0853

3 0.0850

4 0.0843

5 0.0835

6 0.0832

7 0.0827

8 0.0822

9 0.0825

10 0.0821

11 0.0820

12 0.0820

My answer is

mean = 6.45

standard deviation = 3.46

5. In a standard 52-card deck of playing cards, each card has one of four suits: spade, heart, club, or diamond. There are 13 cards of each suit. Alison thoroughly shuffles a standard deck, draws a card, then returns it to the deck, and shuffles again. She repeats this process until she has drawn seven cards. Find the probability that she draws at most two spade cards. Use a TI-83, TI-83 plus, or TI-84 calculator to find the probability.

Round your answer to three decimal places.

My answer that derives from here is

Trial = 7

p = 0.25

x = 2

Therefore the probability is = 0.7564

6. The table below represents the probability density function for the random variable X. Find the standard deviation of X.

Round the final answer to two decimal places. x P(X = x) 0 1/4 1 1/4 2 1/4 5 1/4

My answer is = 1.87

7. A softball pitcher has a 0.626 probability of throwing a strike for each curve ball pitch. If the softball pitcher throws 30 curve balls, what is the probability that no more than 16 of them are strikes?

Fill in the blanks below to represent the probability Provide your answer below:

My answer = P(X<16) or 1-P(X16>)

8. The table below shows a probability density function for a discrete random variable X, the number of coffee cups an employee brews at an office coffee machine per day. What is the probability that X is 3?

Provide the final answer as a fraction. x P(X = x) 0 1/8 1 3/16 2 3/8 3 1/16 4 1/8 5 1/8

My answer is = 1/16