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Nico owns 11 instructional piano books. Two are beginner books, six are intermediate books, and three are advanced books.If two books are randomly chosen from the collection, one at a time, and replaced after each pick, what is the probability that he first chooses an advanced book and then chooses a beginner book?

StartFraction 5 Over 121 EndFraction

StartFraction 6 Over 121 EndFraction

Five-elevenths

Six-elevenths

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When finding the margin of error for the mean of a normally distributed population from a sample, what is , assuming a confidence level of 74%?

0.13

0.26

0.74

0.87

Which statements are true? Select three options.

P(F|C) = 0.75

P(C|F) = 0.25

P(C∩F) = 0.09

P(C∩F) = P(F∩C)

P(C|F) = P(F|C)

The spinner is equally likely to land on any of the five sections.

One-fifth

Two-fifths

Three-fifths

Four-fifths

Ryder shot a model rocket over an area that consists of two grassy areas, shown in green, and an area with no grass, shown in white.

0.2

0.3

0.4

0.6

Juanita has a storage closet at her shop with extra bottles of lotion and shower gel. Some are scented and some are unscented. If she reaches into the closet and grabs a bottle without looking, she has a 42% chance of grabbing a bottle of shower gel.For the events "shower gel” and "scented” to be independent, what must be shown to be true?

P(lotion) = 42%

P(scented) = 42%

P(shower gel | scented) = 42%

P(scented | shower gel) = 42%

Ariana, Boris, Cecile, and Diego are students in the service club. Three of the four students will be chosen to attend a conference.Which choice represents the sample space, S, for this event?

S = {ABC, ABD, ACD, BCD}

S = {ABC, BCA, CDA, DAC}

S = {ABC, ABD, BAC, BDA, ACD, ADC, BCD, BDC}

S = {ABC, ABD, ACD, BCA, BCD, BDC, CAB, CBD, DAC, DBC}

The weather report states that the probability it will rain on Wednesday is 30 percent and the probability that it will rain on Saturday is 60 percent.What is the probability that it will rain on Wednesday and on Saturday?

2 percent

18 percent

60 percent

90 percent

A prize bag contains four country music CDs, eight pop music CDs, and five classic rock CDs.What is the probability of pulling out a classic rock CD and then, without replacing it, pulling out a country music CD? Express your answer in decimal form, rounded to the nearest hundredth.

0.03

0.07

0.15

0.18

The manager of a grocery store reports that there is a 12 percent chance that a customer buys apples during a shopping trip, a 5 percent chance that a customer buy apples and carrots, and a 17 percent chance that a customer buys apples or carrots.What is the probability of a customer buying carrots?

1.4 percent

5.0 percent

10.0 percent

11.4 percent

The distribution of the values of a population is shown below, and a simple random sample is drawn from the population. Based on this information alone, can the sample be used to make inferences about the population?

No, because the population values appear to be normally distributed.

No, because the population values do not appear to be normally distributed.

Yes, because the population values appear to be normally distributed.

Yes, because the population values do not appear to be normally distributed.

A simple random sample of size n is drawn from a normally distributed population, and the mean of the sample is , while the standard deviation is s. What is the 90% confidence interval for the population mean? Use the table below to help you answer the question.Confidence Level90%95%99%z*-score1.6451.962.58

x Overbar plus-or-minus StartFraction 0.90 times s Over StartRoot n EndRoot EndFraction

x Overbar plus-or-minus StartFraction 1.645 times s Over StartRoot n EndRoot EndFraction

x Overbar plus-or-minus StartFraction 1.96 times s Over StartRoot n EndRoot EndFraction

x Overbar plus-or-minus StartFraction 2.58 times s Over StartRoot n EndRoot EndFraction

2 circles labeled Set A and Set B overlap. Set A contains 1, set B contains 3, and the overlap of the 2 circles contains 2. The number 4 is outside of the circles.

III

A burrito restaurant recorded 200 customer orders. Each order was categorized by whether it was takeout or dine-in and whether it was placed on a weekday or a weekend.The results are shown below: Using this table, decide which statement about independence is true. Which statement is correct?

The events “takeout” and “weekday” are independent.

The events “weekday” and “weekend” are independent.

The events “order type” (takeout or dine-in) and “day of the week” (weekday or weekend) are not independent.

The events “takeout” and “dine-in” are independent.

What is the formula for margin of error?

ME =

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