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

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Question 218941: reggie miller of the indiana pacers in the national basketball association's best career free throw shooter ,making 89% of his shoot.assume that late in the ,reggie miller is fouled and is awarded two shoots a)what is probability that he will make both shoot?
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Question 218802: Please show calculation to the problem. A auditor reviewed 25 oral surgery insurance claimed from particular surgical office, determining that the mean out-of-pocket patient billing above the rembursed amount was $ 275.66 with a standard deviation of $ 78.11. (a) At the 5 percernt level of significance, does this sample prove a violation of the guideline that the average patient should pay no more than $ 250 out-of-pocket: State your hypothesis and decision rule. (b) Is this a close decision?
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Question 218972: The following will be a probability distribution provided that x.xxx is replaced with what number?
x P(x)
0 0.034
1 0.127
2 x.xxx
3 0.371
4 0.220

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Question 218976: A recent study shows that 40% of the babies who weigh less than 5.5 pounds at birth are likely to develop high blood pressure as adults. If 12 babies who weighed less than 5.5 pounds at birth are selected at random, what is the probability (correct to three decimal places) that at most two of these babies will develop high blood pressure as adults?
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Question 218974: If a gambler rolls two dice and gets a sum of 9, he wins $20, and if he gets a sum of 3, he wins $40. The cost to play the game is $5. What is the expectation (to the nearest cent) of this game?
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Question 219033: Please help me solve this question.

3x+1 didided by 3 -x-2 divided by 2 = 2+ 2x-3 divived by 3


Thanks in advance

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Question 219059: The mean amount of life insurance per household is 110,000 normal distribution a) with a standarf deviation of $40,000 what is the likelihood of selecting a sample with a mean of at least $112,000?
b) What is the expected shape of the distribution of the sample mean?

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Question 219077: Write this fraction in lowest terms? 110/100
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Question 219050: Researchers were studying the relationship between age and pocket depth. They measured the pocket depth of 11 young subjects (ages 20-25) and 11 old subjects (ages 50-55). They wanted to know if there was a difference in mean pocket depth between the two groups. Assume that pocket depth has a relatively normal distribution.Suppose the test statistic for the test above was 4.0. What would your conclusion be assuming you wanted a Type I error of 0.05?

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Question 219171: A financial institution wishes to estimate the mean balances owed by its credit card customers. The population standard deviation is estimate to be $ 300. If a 98 percent confidence inveral is used and an interval of =+ 75 is desired, how many cardholders should be sampled?
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Question 219164: Jolly Blu Gaint Health Insurance (JBGAI) is concerned about rising lab test costs and would like to know what roportion of the positive lab test for prostate cancer are actually proven correct through subsequent biopsy. JBGAI demands a sample large enough to ensure an err of =+ 25% with 90% confidence. whatis the necessary sample size?
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Question 219125: What is sampling error? Could the value of the sampling error be zero? if it were zero, What would this mean?
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Question 219149: Let P(E)=0.25 and P(F)=0.45
1. Find P(E and F) if P(E or F)=0.6
2. Find P(E and F) if E and F are mutually exclusive.
3. Find P(Fc)

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Question 218971: In a shipment of 40 televisions, 3 are defective. If 2 sets are randomly selected and tested, what is the probability that both are defective? (The first one is not replaced before the second one is selected.)
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Question 218691: Large companies typically collect volumes of data before designing a product, not only to gain information as to whether the product should be released, but also to pinpoint which markets would be the best targets for the product. Several months ago, I was interviewed by such a company while shopping at a mall. I was asked about my exercise habits and whether or not I'd be interested in buying a video/DVD designed to teach stretching exercises. I fall into the male, 18-35-years-old category, and I guessed that, like me, many males in that category would not be interested in a stretching video. My friend Holly falls in the female, older-than-35 category, and I was thinking that she might like the stretching video. After being interviewed, I looked at the interviewer's results. Of the people in my market category who had been interviewed, said they would buy the product, and of the people in Holly's market category, said they would buy it. Assuming that these data came from independent, random samples, can we conclude (at the level of significance) that the proportion of all mall shoppers in my market category who would buy the product is less than the proportion of all mall shoppers in Holly's market category who would buy the product?
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Question 219395: Four dice are thrown. What is that probability that "four" is the highest number thrown?
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Question 219499: A car radiator contains 10 liters of 20% anitfreeze solution. How many liters of pure antifreeze are needed to make the solution 50% antifreeze without replacement?
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Question 219593: Suppose that a classroom has 10 sets of lights. The probability that one of the lights work is 0.6. Suppose that each light works independently of the others. What is the probability that all of the lights work? Round your answer to four decimals places.
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Question 219546: There are 30 fish in a pond. We know that 13 of these fish are males, 4 of these males are salmon, and there are
8 salmon in the pond. What is the probability that a randomly chosen fish is a salmon, given that it is a male?

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Question 219757: Two cards are drawn in succession from an ordinary deck of 52-bridge cards without replacement of the first card. Find the odds that both cards are a queen?
48/52 x 47/51 ????????

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Question 219752: A single card is drawn from an ordinary deck of 52 bridge cards. Find the odds against drawing a heart or a king.
I am not sure if I did this correctly?
13+4= 17
52-17=35
35:52 ????

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Question 219762: A game is played using one die. If the die is rolled and shows 1, the player wins $5. If the die shows any number other than 1, the player wins nothing. If there is a charge of $1 to play the game, what is the game's expected value?
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Question 219799: 12345 what are the odds in favor drawing a 3 from these cards?
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Question 219770: How many different committees can be formed from 5 professors and 15 students if each committee is made up of 2 professors and 10 students?
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Question 219774: When a pair of dice are thrown, find the probability of getting two numbers whose sum is less than 8.
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Question 219887: HOW MANY PEOPLE DO YOU NEED TO GATHER TO BE SURE THAT AT LEAST TWO OF THEM HAVE A BIRTHDAYS IN THE SAME MONHT?
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Question 219887: HOW MANY PEOPLE DO YOU NEED TO GATHER TO BE SURE THAT AT LEAST TWO OF THEM HAVE A BIRTHDAYS IN THE SAME MONHT?
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Question 219920: A fair die is rolled 6 times.What is the probality of no more that three twos?
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Question 219915: 30% population of a village has a certain disease.If people in the village are selected successively at random, what is the probability that the 3th person selected is the first person with the disease?
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Question 220227: Two cards are drawn in succession from an ordinary deck of 52 bridge cards without replacement of the first card. Find the probability that both cards are a Queen.


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Question 220238: Following are 3 sets of letters, Draw one letter from set 1, place it in set 2, then draw one letter from set 2, place it in set 3. Finally draw a letter from set 3. What is the probability that the last letter drawn is a B?
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Question 220229: Two cards are drawn in succession from an ordinary deck of 52 bridge cards without replacement of the first card. Find the odds that both cards are a Queen.
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Question 220228: Using 31 flavors of ice cream, how many cones with three different flavors can you create if it is important to you which flavor goes on the top, middle, and bottom?
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Question 220268: A novel tooth whitening agent was created and researchers wanted to test if it worked. A measure of tooth whiteness, the WIO whiteness index (a numerical measure), was obtained on day 1 for 8 study subjects. They then used the tooth whitening agent for 1 week and tooth whiteness was measured again. Assume the tooth whiteness measure was normally distributed.
Suppose the p-value for the test was .043. What would your conclusion be assuming you wanted a Type I error of 0.01?

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Question 220347: Suppose that a classroom has 4 lights. The probability that one of the lights work is 0.25. Suppose that each light works independently of the others. What is the probability that all of the lights work? Round your answer to four decimals places.
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Question 220383:
Scores on an exam follow an approximately Normal distribution with a mean of 76.4 and a standard deviation of 6.1 points. What percent of students scored above 95 points? I got 18.6/6.1= 3.05 but what step do i do next? I'm lost after that.
What if the question were to ask Scores on an exam follow an approximately Normal distribution with a mean of 76.4 and a standard deviation of 6.1 points. What percent of students scored below 85 points? what would it be or look like then?
Thanks so much for your help!

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Question 220477: Does lovastatin (a cholesterol lowering drug) reduce the risk of heart attack? In Texas study, researchers gave lovastatin to 2, 235 people and an inactive substitiue to 2,081 people (average age 58). After 5 years, 57 of the lovastatin group had suffered a heart attack, compared with 97 for the inactive pill. (a.) State the appropriate hypotheses. (b) Obatain a test stateistic and p-value. Interpret the results at a=.01. (c) Is normality assured? (d) Is the difference large enough to be immportant? (e) What else would medical researchers need to kow before prescribing this drug widely?
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Question 220418: Determaine the proability that next years production will exceed the production level 107.6. Mean = 212.1 and STDEV = 123.2997857.
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Question 220555: Shantell flips a coin and spins a spinner with 6 spaces on it numbered from 1-6. What is the probability she will get tails and a 3?
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Question 220667: Sally’s Beauty Salon just opened for business. Sally assigns the stylists customers on a rotation basis so that everyone is kept busy all day. One month after she opened the salon, Sally’s customer count for each stylist was (a) 20 customers; (b) 30 customers; (c) 15 customers; and (d) 25 customers. Has Sally been fair in how she allocates customers to each of the stylists?
I know that this is parametric, but why exactly is it parametric?

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Question 220593: An ordinary (fair) die is a cube with the numbers through on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment.
Compute the probability of each of the following events:
Event : The sum is greater than 7.
Event : The sum is not divisible by 3.

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Question 220725: Using 31 flavors of ice cream, how many cones with three different flavors can you create if it important to you which flavor goes on the top, middle, and bottom?
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Question 220724: A box contains three red, four white, and five blue balls. Two balls are drawn, with replacement of the first ball before drawing the second ball. Find the probability that two white balls are drawn.
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Question 220381: The bus you take every morning is equally likely to be anywhere from 2 minutes early to 15 minutes late. What is the probability that the bus is more than five minutes late?
I put 10/15 and got it wrong. The teacher's response was that the denominator was wrong. How so? Please explain.

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Question 220381: The bus you take every morning is equally likely to be anywhere from 2 minutes early to 15 minutes late. What is the probability that the bus is more than five minutes late?
I put 10/15 and got it wrong. The teacher's response was that the denominator was wrong. How so? Please explain.

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