Suppose you just purchased a digital music player and have put 12 tracks on it.

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Suppose you just purchased a digital music player and have put 12

tracks on it. After listening to them you decide that you like 2 of the songs. With the random feature on your​ player, each of the 12 songs is played once in random order. Find the probability that among the first two songs played

​(a) You like both of them. Would this be​ unusual?
(b) You like neither of them.
(c) You like exactly one of them.
(d) Redo​ (a)-(c) if a song can be replayed before all 12 songs are played. ​(Round to three decimal places as​ needed.)

 
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A bag of 28 tulip bulbs contains 11 red tulip​ bulbs, 9 yellow tulip​ bulbs, and 8 purple tulip bulbs.

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A bag of 28 tulip bulbs contains 11 red tulip​ bulbs, 9 yellow tulip​

bulbs, and 8 purple tulip bulbs. Suppose two tulip bulbs are randomly selected without replacement from the bag.

(a)  ​What is the probability that the two randomly selected tulip bulbs are both​ red?
(b)   What is the probability that the first bulb selected is red and the second​ yellow?
(c)  What is the probability that the first bulb selected is yellow and the second​ red?
(d)  What is the probability that one bulb is red and the other​ yellow?
​(Round to three decimal places as​ needed.)

 
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Sociologists say that 85% of married women claim that their husband’s mother is the biggest bone of contention in their marriages (sex and money are lower-rated areas of contention).

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Sociologists say that 85% of married women claim that their husband’s mother is the biggest bone of contention in their marriages (sex and money are lower-rated areas of contention). Suppose that six married women are having coffee together one morning. Find the following probabilities. (Round your answers to three decimal places.)
(a) All of them dislike their mother-in-law.

(b) None of them dislike their mother-in-law.

(c) At least four of them dislike their mother-in-law.

(d) No more than three of them dislike their mother-in-law.

 
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Lewin’s leadership styles

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Review and do further research on the leadership styles covered in Unit 4, Lesson 3 – Lewin’s Leadership
Styles. Provide a brief description for each of the three leadership styles: autocratic, participative, and

laissezfaire. Include in your descriptions a specific example of when you have seen each of these types of

leadership
styles demonstrated (at work, at school, at church, etc.) (3 paragraphs minimum)
Select the What’s Your Leadership Style? link to learn more about your leadership style. Based on your

results,
discuss the leadership style you currently lean towards and explain why. Be sure to provide full analysis

and
examples of behaviors on the job which make you believe that you exhibit this particular leadership style.

(2
paragraphs minimum)
Describe the strengths and weaknesses of your leadership style. (2 paragraphs minimum)
Explain and provide an example of how your leadership style might impact various employees and

situations at
work in a positive way. (1 paragraph minimum)
Explain and provide an example of how your leadership style could potentially cause problems in your

current
work situation. (1 paragraph minimum)
Which leadership style do you think is BEST and why? (1 paragraph minimum)

Sample Solution

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Many people consider their smart phone to be essential! Communication, news, Internet, entertainment, photos, and just keeping current are all conveniently possible with a smart phone.

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Many people consider their smart phone to be essential! Communication, news, Internet, entertainment, photos, and just keeping current are all conveniently possible with a smart phone. However, the battery better be charged or the phone is useless. Battery life of course depends on the frequency, duration, and type of use. One study involving heavy use of the phones showed the mean of the battery life to be 10.75 hours with a standard deviation of 2.1 hours. Then the battery needs to be recharged. Assume the battery life between charges is normally distributed.
(a) Find the probability that with heavy use, the battery life exceeds 11 hours. (Round your answer to four decimal places.)

(b) You are planning your recharging schedule so that the probability your phone will die is no more than 5%. After how many hours should you plan to recharge your phone? (Round your answer to the nearest tenth of an hour.)
hours

 
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The Customer Service Center in a large New York department

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The Customer Service Center in a large New York department store has

determined that the amount of time spent with a customer about a complaint is normally distributed, with a mean of 8.3 minutes and a standard deviation of 2.0 minutes. What is the probability that for a randomly chosen customer with a complaint, the amount of time spent resolving the complaint will be as follows. (Round your answers to four decimal places.)
(a) less than 10 minutes

(b) longer than 5 minutes

(c) between 8 and 15 minutes

 
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calculate the future value.

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calculate the future value. (Round your answer to two decimal places.)

P = $26,000, r = 6% compounded monthly, t = 9 years

 
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Calculate the effective annual rate for an investment that earns the given rate of return

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Calculate the effective annual rate for an investment that earns the

given rate of return. Round to the nearest hundredth of a percent.
6.8% interest compounded quarterly

 
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Calculate the present value.

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Calculate the present value. (Round your answer to two decimal places.)

A = $15,000, r = 7% compounded monthly, t = 5 years

 
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Calculate the present value. (Round your answer to two decimal places.)

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Calculate the present value. (Round your answer to two decimal places.)

A = $50,000, r = 6% compounded monthly, t = 3 years

 
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