Questions on Algebra: Probability and statistics answered by real tutors!

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Question 910500: Six billiard balls, numbered 1 through 6, are placed in a box. Three of the balls are red, and three are blue. One ball is to be drawn randomly from the box.
Find the probability that the ball drawn will be an even numbered red ball.
Thank you.

Click here to see answer by Fombitz(32388) About Me 

Question 911281: A standard deck of playing cards contains 52 cards (excluding jokers). There are 4 suits (hearts, clubs, diamonds, and spades). Hearts & Diamonds are red while Spades and Clubs are black. Each suit contains ace through 10 with a jack, queen, and king. Answer the following questions regarding a standard deck. Assume you are picking one card at a time. Conditional probabilities have no repetition.
______ a) P(2) ______ e) P(2⋂3)



______ b) P(2⋂Red) ______ f) P(2∪3)

______ c) P(2∪Red) ______ g) P(Q│K)*

______ d) P(Black) ______ h) P(Q│Q)*
*Assume previous card has already been picked.

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Question 910459:
Question: There are 20 apples in a basket: 5 Macintosh and 10 Gala and 5 Spartan. You randomly select two apples.
a.) Develop a tree diagram of all possible outcomes of this experiment.
b.) Find the probability that the first apple is Gala and the second is Macintosh.
c.) Find the probability that at least one apple is Spartan.

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Question 911284: what is the probability of obtaining either 2 heads or 4 heads if a fair coin is tossed 5 times
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Question 911288: A student takes an exam containing 14 true or false questions. If the student guesses, what is the probability that he gets less than 6 but more than 3 questions right?
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Question 911482: When a die is rolled, what is the probability of getting a 7?
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Question 911449: Three dice are rolled. What is the probability of getting three 6s?
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Question 911453: A coin is tossed 6 times. What is the probability of getting six tails?
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Question 911536: An urn contains 40 balls. Some are red balls and the rest are white balls.
If the probability of extracting a white ball is 0.675, how many white balls are there?

How do I do this question? Help please.
Thank you.

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Question 911539: If 2 cards are dealt from the standard deck, what is the probability of getting all cards the same suit?
Need assistance:)
Could someone explain how to go about getting this answer and the answer itself?
Thanks

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Question 911535: A car is picked at random from the west campus parking lot.
Let E be the event "the car is blue".
Let F be the event "the car is a Toyota".
Let G be the event "the car is a green Ford".
Which of the following pairs of events are mutually exclusive?
(i) E and F (ii) G′ and E ∪ F (iii) F ∪ G′ and E
Answers:
(A) all of them (B) none of them (C) (ii) and (iii) only (D) (i) and (ii) only (E) (ii) only (F) (i) and (iii) only (G) (iii) only (H) (i) only

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Question 911541: In a poker hand consisting of 5 cards.what is the probability of getting....
One ace???

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Question 911546: I'm dealt 7 cards from a standard deck of 52 cards.
In how many different ways can all cards be of the same suit?

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Question 911561: A study determined that 7% of persons age 65 to 74 have a certain symptom. A group of 16 persons ages 65 to 74 are selected at random. Find the probability that at most 1 person has the symptom.
Click here to see answer by samrahqazalbash@gmail.com(1) About Me 
Question 911561: A study determined that 7% of persons age 65 to 74 have a certain symptom. A group of 16 persons ages 65 to 74 are selected at random. Find the probability that at most 1 person has the symptom.
Click here to see answer by ewatrrr(24785) About Me 

Question 911507: I have a Statistic problem that I can't seem to figure out:
In sum, here is the problem:
A shuttle seats 19 passengers. Over the years the probability of passengers showing up is 90%. They have an overbooking policy and books more than seats available. If they sell 20 tickets, what is the probability of there not being enough seats? Correct Ans. is: 0.122
How did they come up with that answer?

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Question 911584: Consider selecting one card at a time without replacement from a 52-card deck. Let event A be the first card is a heart, and event B be the second card is a heart
1. What is the probability that the first card is a heart and the second card is also a heart(express in the simplest fraction form)
2. What is the probability that the second card is a heart, given that the first card is a heart (express the answer in simplest fraction form)
3. Are A and B independent? Why or Why not?

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Question 911590: A student takes an exam containing 14 multiple choice questions. The probability of choosing a correct answer by knowledgeable guessing is 0.3. At least 9 correct answers are required ti pass. If the student makes knowledgeable guesses, what is the probability that he will fail?
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Question 911589: A quality control inspector has drawn a sample of 12 light bulbs from a recent production lot. Suppose that 20% of the bulbs in the lot are defective. What is the standard deviation of the number of defective bulbs in the sample?
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Question 911636: A random variable X follows the uniform distribution with a lower limit of 750 and an upper limit of 850.
What is the probability that X is less than 840? (Do not round intermediate calculations. Round your answer to 2 decimal places.)

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Question 911670: An urn is filled with 14 green balls, 2 red balls, and 4 orange balls. Three balls are selected without replacement. What is the probability of selecting at least one red ball?
I know that my sample space will decrease with each draw and that the prob of picking a red is 2/20 to start out and I know I need the prob of not drawing a red ball, but I don't know how to put it together and I feel like I'm missing something.

Click here to see answer by Fombitz(32388) About Me 

Question 911665: A study reported the prevalence of asthma is 30% in children 2-6 years of age. If 12 children were analyzed
How many children would be expected to meet the criteria for asthma?
What is the probability that at least 3 are asthmatic?
What is the probability that exactly 3 are asthmatic?
how do I figure this out?

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Question 911547: In np > 5 & nq > 5, estimate p (fewer than 7) with n=14 & p=0.6 by using the
normal distribution as an approximation to the binomial distribution; if np < or nq < 5. Then state that the normal approximation is not suitable.
p (fewer than 7)=

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Question 911721: a sample of 16 ten-year old girls had a mean weight of 71.5 and a standard deviation of 12 pounds, respectively. Assuming normality, find the two-sided 95% confidence interval
a. 65.1, 77.9
b. 66.2, 76.8
c. 62.7, 80.3
d. 66, 77

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Question 911727: I am stuck on this problem. I believe it is a Z formula, but cannot find the formula to do a Z with a variable "between". Here is the problem.
A normally distributed variable with a mean of 16 minutes and a standard deviation of 4 minutes. what is the probability that a random sample of 25 will yield a mean between 14 and 18 minutes inclusive? What formula did you use?
Thanks to anyone that can help!

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Question 911786: AA recent survey found that 56% of mobile phone users, between the ages of 18 to 34, had a smartphone. Suppose a random sample of 20 mobile phone users were selected. What is the probability that less than 5 of them have a smartphone? [Ensure that you (1) clearly denote the probability distribution and its parameter(s) and (2) state the formula]

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Question 911785: A baseball player has a batting average of 0.395. What is the probability that he has exactly 1 hits in his next 7 at bats?
What's throwing me off is how the decimal has 3 places. I know the formula is (C n,r) x (p)^r x (q)^n-r
So my n=7, what am I suppose to do for p and q?
Please & Thank you!

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Question 911770: Five cubic dice were rolled, and the product of the numbers obtained was 432.
What is largest possible sum of five such numbers?

Click here to see answer by Edwin McCravy(20054) About Me 

Question 911733: I am having difficulty with a sample proportion problem:
In a given population, 35 percent of the adults go to worship. If a random sample of 200 adults is selected from this population, what is the probability that the sample proportion will exceed 0.50.
I just can not seem the correct formula to make this compute. Please provide the formula used as well.
Thank you

Click here to see answer by rothauserc(4718) About Me 

Question 911703: Hello,I was able to find the probability for the entire population, but I haven't figured out how to find it for just the sample population of 11. Any help would be appreciated.
Suppose the heights of 18-year-old men are approximately normally distributed, with mean 72 inches and standard deviation 5 inches. If a random sample of eleven 18-year-old men is selected, what is the probability that the mean height x bar is between 71 and 73 inches? (Round your answer to four decimal places.)
Thank you!

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Question 911822: A factory produces 5% defective items. Find the probability of the following events.
1. At least 9 are defective.
2. No more than 3 are defective
3. Exactly 5 are defective

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Question 911817: only people with IQ scores in the top 2% of the population are allowed to register to the mensa international society. What is the minimal IQ score for members of this society?
A person of very low intelligence(IQ of 25 to 50), usually capable of guiding himself against danger and of performing simple mechanical tasks under supervision, is defined as "imbecile". what is the percentage of imbecile persons in the population?

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Question 911816: only people with IQ scores in the top 2% of the population are allowed to register to the mensa international society. What is the minimal IQ score for members of this society?
A person of very low intelligence(IQ of 25 to 50), usually capable of guiding himself against danger and of performing simple mechanical tasks under supervision, is defined as "imbecile". what is the percentage of imbecile persons in the population?

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Question 911840: The duration of phone calls to a Calling Centre is normally distributed with a mean of seven minutes and a standard deviation of two minutes. Calculate the probability that a phone call to the Calling Centre last for between 5 to 10 minutes.
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Question 911838: A sample of 40 sales receipts from a grocery store has x = $137 and s = $30.2. Assist the owner of the grocery store to these values to test, at the 5% level of significance, whether or not the mean sales at the grocery store is different from $150.
(a) State the null and alternative hypotheses for the test.
(b) Calculate the test statistics.
(c) Determine the rejection region(s) for the test.
(d) State the conclusion for the test giving reasons for your answer.

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Question 911875: Determine the probabilities for the following values assuming they
are normally distributed with μ=100 and σ2=36:
X ≤ 72
93 ≤ X ≤ 130
X ≥ 81
X ≥ 87

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Question 911862: Which of the following is NOT one of the five steps in the hypothesis testing procedure?

A. Formulate a decision rule

B. State the null and alternate hypotheses

C. Select a level for β

D. Identify the test statistic

E. All of these are part of the five steps

For a hypothesis comparing two population means, what is the critical value for a one-tailed hypothesis test, using a 5% level of significance level, with both sample sizes equal to 13? Assume the population standard deviations are equal.

A. 1.708

B. 1.711

C. 2.060

D. 2.064
If the null hypothesis that two means are equal is true, where will 97% of the computed z-values lie between?

A. +2.58

B. +2.33

C. +2.17

D. +2.07

For a hypothesis test comparing two population means, the combined degrees of freedom are 24. Which of the following statements about the two sample sizes is NOT true? Assume the population standard deviations are equal.

A. Sample A = 11; sample B = 13

B. Sample A = 12; sample B = 14

C. Sample A = 13; sample B = 13

D. Sample A = 10; sample B = 16


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Question 911952: A family plans to have 3 children. For each birth, assume that the probability of a boy is the same as the probability of a girl. What is the probability that they will have at least one boy and at least one girl?
0.5
0.125
0.75
0.875
None of these
Question 2
A person in a casino decides to play blackjack until he wins a game, but he will not play more than 3 games. Let W denote a win and L denote a loss. What is the sample space for this random experiment?
S = {WWW, WWL, WLW, , WLL, LWW, LWL, LLW, LLL}
S = {W, LW, LLW}
S = {W, LW, LLW, LLL}
S = {W, WW, WWW}
S = {W, WL, WWL, WWW}
Question 3
A person in a casino decides to play 3 games of blackjack. Let W denote a win and L denote a loss. Define the event A as “the person wins at least one game of blackjack”. What are the possible outcomes for this event?
{W, LW, LLW}
{W, WW, WWW}
{WWW, WWL, WLW, WLL, LWW, LWL, LLW, LLL}
{WWW, WWL, WLW, WLL, LWW, LWL, LLW}
{WWL, LWL, LLW}
Question 4
Four students attempt to register online at the same time for an Introductory Statistics class that is full. Two are freshmen and two are sophomores. They are put on a wait list. Prior to the start of the semester, two enrolled students drop the course, so the professor decides to randomly select two of the four wait list students and gives them a seat in the class.
What is the probability that both students selected are freshmen?
½
¼

1/12
it is impossible to tell because the outcomes are not equally likely

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Question 912028: If you select 12 students what is the probability of 3 being graduates?.
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Question 912026: what is the probablity of gettin a red queen and black cards and an ace from a pack of 52 cards
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Question 912044: A loaded coin is tossed 5 times , find the
probability distribution for the number of
heads, if heads are thrice likely to occur than tails.let x be the number of heads that will turn up.Find the mean and variance.

Click here to see answer by Edwin McCravy(20054) About Me 

Question 912017: men:
A students: 11
B students:15
C students: 6
D students: 1

women :
A students: 12
B students:10
C students:6
D students:3

A )Randomly choose 1 student from the class. What is the probability that the student is an A student or a woman? Write your answer as a decimal rounded to 3 decimal places.
b) Randomly choose 1 student from the class. What is the probability that the student is an A student or a B student? Write your answer as a decimal.
c).Randomly choose 1 student from the class. What is the probability that the student is a male A student? Write your answer as a decimal rounded to 3 decimal places.
D).Randomly choose 1 student from the class. What is the probability that the student is a man? Write your answer as a decimal rounded to 3 decimal places
E).Randomly choose 1 student from the class. What is the probability that the student is not a B student? Write your answer as a decimal rounded to 3 decimal places.
F).Randomly choose 1 student from the class. What is the probability that the student is a B student given that they are a woman? Write your answer as a decimal rounded to 3 decimal places.
G).Randomly choose 2 students from the class (without replacement). What is the probability that the first student is a woman and the second is a man? Write your answer as a decimal rounded to 3 decimal places.

H).Randomly choose 2 students from the class (without replacement). What is the probability that the first student is an A student and the second student is a woman? Write your answer as a decimal rounded to 3 decimal places.
J).Randomly choose 2 students from the class (without replacement). What is the probability that both students are women? Write your answer as a decimal rounded to 3 decimal places
Please I'm not really looking for answers. I just want to know how to do this I've tried and I am soo fed up. Thank you

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Question 912052: A letter is selected at random from the word “VOLUNTEER”.
(a) What is the probability that it is a vowel?
(b) What is the probability that it is a T or V?
attempted answer:
a. 4/9
b. 2/9

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Question 912046: The attendance at an athentic stadium is normally distributed with a mean of 20,000 people and variance of 2,000 find.
A. The percentage of attendance figures which falls between 19,500 and 22,000 people.
B. The percentage of attendance above 23,000 people.

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