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Please solve the problems in the attachment.

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I have a population of 450. The specification is 0.00175 (+/- 0.00015)for the population. What is the confidence that the population of 450 is within specification if:

A. 45, 90 or 225 samples are measured to be within 0.00170 and 0.00180 with a mean of 0.00175

B. 45, 90 or 225 samples are measured to be within 0.00165 and 0.00185 with a mean of 0.00175.

Please tell me how you got the answers. Thanks.

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1.two cards are drawn without replacement from a deck of 52 cards. What is the probability of drawing two queens?
2. What is the probability that one throw of two dice (one red and one green) will result in a sum of 10?
3. A bag contains 3 white marbles and 2 black marbles. Two marbles are drawn from the bag with the first marble not being returned to the bag for the second drawing. What is the probability of getting 1 white marble and 1 black marble?
4. A committee of 4 is to be picked from 6 men and 4 women. What is the probabilty that half of the commitee will be made up of women?
5. In tossing one die, what is the probability that you will get a six on the first toss, not a six in the second toss, and not a six on the third toss?
6. A coin is tossed 3 times. What is the robability of getting: (a) 3 heads (b) 2 heads, 1 tail (c) 1 head, 2 tails, (d) 3 tails?
7. There are 6 red balls and 9 blue balls in a box. (a) if the first ball is replaced before the second ball is drawn, what is the probability of drawing 2 red balls? (b) If the first ball is not replaced before the second ball is drawn, what is the probability of drawing 2 red balls?
8.Two dice (one green and one white) are tossed. (a) What is the probability of getting a sum of 2 or a sum of 12? (B) What is the probability of getting an even number (the sum is even) or a sum that is greater than or equal to 9?
9. One coin and one die are tossed. Make a sample space that will represent all the possible outcomes. What is the probability of getting a tail and at least a four when the con and die are tossed?
10. Two cards are drawn from a deck of 52 cards without replacement. (a) What is the probability of drawing a face card on the first draw and an ace on the second draw? (b) What is the probability of getting a face card and and ace from the two draws (order is ot important)?
11. What is ther probability if you are dealt 13 cards that they are all of one suit? (Do not calculate, just set up the problem)
If you are dealt 5 cards, what is the probability that you will get exactly 3 aces (3 of the 5 cards are aces)? (Do not calculate, just set up the problem).
12. What is the probability of throwing exactly 3 aces in a single throw with 4 dice?
13. A person rolls a 6 sided die, and an 8 sided die. (a) create the sample space. (b) also, find the probability of getting a sum of 12. (c) find the probability of getting an even sum or a sum of 11 or more.
14.The probability that a college student does not graduate is .3 (3/10). Of 5 college students chosen at random, find the probabilty (a) one will not graduate (b) three will not graduate (c) at least 4 will graduate.
15. Sharpshooter A hits the targe 1/4 of the time. Sharpshooter B hits the target 2/5 of the time. If they both shoot, what is the probability they at least one sharpshooter will hit the target?

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I have uploaded the problem from my computer also because some the of the subcript did not come out correctly here. It is for a psychology class. I have not taken any math courses for a long time and I havent the first clue how to go about solving this problem. We did #1 in class, I just need #2. I have a scientific calculator if it is necessary.


2. Plot on graph paper the learning curve generated by the following equation for four points:
N = 1, 10, 20, 30 [Hint: use logarithms]

HN = M - (M - H0)(1 - k)N - 1 (2)

where H0 = 0, k = .1, and M = 100.

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Course: Math: Introduction to Statistical Methods
Probability & Satistics

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3. Consider the following game. The game costs $5.00 to play and the net winnings are $10.00 for red, $5.00 for blue, and $2.00 for yellow. A player loses his/her $5.00 bet for white. The following probability distribution applies:

Event X P(X)
Red +10 .05
Blue +5 .20
Yellow +2 .25
White -5 .50

A. If a player plays the game once, what is the probability of winning?
B. What is the probability of losing?
C. What is the expected value of the game?
D. What are the variance and standard deviation of the game?
E. Is this a “fair” game- why or why not? If not, what should a player’s bet be in order to make it a “fair” game?

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Suppose a class has 20 students- 10 male and 10 female. If the class is separated into two teams, what is the probability that each team will have exactly five males and five females? (Please give the answer as a decimal rounded to the ten-thousandths place.)

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Please see attached file.

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A quiz consists of five multiple-choice questions with five choices for each question (A, B, C, D, & E).
A. If a student randomly guesses on each question, what is the probability that he/she passes if at least three correct answers are needed to pass? Please round the answer to the thousandths place.
B. What is the mean of the number of questions answered correctly for this quiz?
C. What is the standard deviation for the number of questions answered correctly for this quiz?

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2. What is the probability of… (Please write answers as simplified fractions)
A. Rolling two fair 6-sided dice and getting doubles?
B. Flipping a fair coin twice and getting a head on each flip?
C. Drawing two cards without replacement from a well-shuffled deck of 52 cards and getting two Kings?
D. All three of the events happening at the same time? (Hint: Are they all independent?)