Basic Statistics Questions - please show work

Using the test scores below, please answer questions

1.) A student was looking at the 15 tests that he has taken throughout the year. The scores are listed below.

59Â Â Â 63Â Â Â 93Â Â Â 98Â Â Â 50

57Â Â Â 74Â Â Â 75Â Â Â 73Â Â Â 54

72Â Â Â 52Â Â Â 84Â Â Â 91Â Â Â 84

Â Â Â Â a.) Find the mean of his test scores.

Â Â Â Â b.) Find the median of the test scores.

Â Â Â Â c.) Find the Standard Deviation. Round to nearestÂ Â Â Â Â Â hundredths.

Â Â Â Â d.) Using normal distribution what is the probability that on his next test he scores above a 90.

Â Â Â Â e.) Using normal distribution find the z-score for if he got a 78. Round to the nearest hundredths.

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Â Â Â f.) What is the probability he gets a 59 or less?

Use Permutations or Combinations:

2.) In a productions of Grease, eight actors are considered for the male roles of Danny, Kenickie, and Marty. In how many ways can the director cast the male roles?

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3.)For a segment of a radio show, a disc jockey can play 7 songs. If there are 13 songs to choose from, in how many ways can this segment be arranged?

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4.)There are 20 members in a club. Five people are selected to go to the state conference. In how many ways can the five members be selected?

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5.) Your English teacher asked you to read 3 novels from a list of 10. In how many ways can you choose which books to read?

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Use Binomial or Poisson Distribution to solve:

6.) A single die is rolled 20 times. What is the probability that a sum of 5 is rolled:

Â Â Â a.) exactly 6 times

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Â Â Â b.) at least 4 times

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Â Â Â c.) at most 5 times

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7.) The probability that Tim will sink a foul shot is 70%. If Tim attempts 30 foul shots, what is the probability that:

Â Â Â a.) he sinks exactly 21 shots

Â Â Â b.) he sinks at least 21 shots

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Â Â Â c.) he sinks at most 21 shots

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Â Â Â d.)he sinks between 18 and 20 shots, inclusives

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8.) The number of road construction projects that take place at any one time in a certain city follows a Poisson distribution with a mean of 7. Find the probability that more than 4 road construction projects are currently taking place in the city.

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9.) Suppose the number of babies born during an 8 hour shift at a hospitals maternity wing follows a poisson distribution with a mean of 6 per hour. Find the probability that 5 babies are born during a particular 1 hour period in this maternity wing.

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10.) The number of traffic accidents that occur on a stretch of road during a month follows a Poisson distribution with a mean of 7.6. Find the probabilty that less than 3 accidents will occur next month on this road.

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11.) The number of traffic accidents that occur on a different road during a month follows a Poisson distribution with a mean of 6.8. Find the probability that the next two months will both result in 4 accidents each occuring on this road.

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Find the value:

12.) 0!

13.) 4!

Find the z-score. Round to the nearest hundredths:

14.)

a.)Find the z-score when x=20

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b.) Find the z-score when x=11.6

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Find Margin of Error

15.) You work for a consumer advocate agency and want to find the mean repair cost of a washing machine. In the past, the standard deviation of the cost of repairs for washing machines has been $17.50. As a part of your study, you randomly select 40 repairs costs and find the mean to be $100.00.

Calculate a 90% confidence interval for the population mean.

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Subject | Mathematics |

Due By (Pacific Time) | 12/15/2014 09:30 pm |

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