## Introductory Statistics

Statistics

## Quiz 5 :

Discrete Random Variables and Their Probability Distribution

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Q39 Q39 Q39

Use the following to answer questions 38-39:
The following table lists the probability distribution of the number of HD-TVs owned by all families in a city.
-The standard deviation of the number of HD-TVs owned by these families,rounded to three decimal places,is:

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Q51 Q51 Q51

Eight percent of all college graduates hired by companies stay with the same company for more than five years.The probability,rounded to four decimal places,that in a random sample of 11 such college graduates hired recently by companies,exactly 3 will stay with the same company for more than five years is:

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Q63 Q63 Q63

Use the following to answer questions 65-67:
A manufacturer packages bolts in boxes containing 100 each.Each box of 100 bolts contains,on average,6 defective bolts.The quality control staff randomly selects a box at the end of the day from an entire production run.
-What is the probability,rounded to four decimal places,that the box will contain exactly 7 defective bolts?

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Q64 Q64 Q64

Use the following to answer questions 65-67:
A manufacturer packages bolts in boxes containing 100 each.Each box of 100 bolts contains,on average,6 defective bolts.The quality control staff randomly selects a box at the end of the day from an entire production run.
-What is the probability,rounded to four decimal places,that the box will contain at most 6 defective bolts?

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Q65 Q65 Q65

Use the following to answer questions 65-67:
A manufacturer packages bolts in boxes containing 100 each.Each box of 100 bolts contains,on average,6 defective bolts.The quality control staff randomly selects a box at the end of the day from an entire production run.
-What is the probability,rounded to four decimal places,that the box will contain less than 7 defective bolts?

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Q66 Q66 Q66

Use the following to answer questions 68-70:
Historical data indicates that Rickenbacker Airlines receives an average of 2.9 complaints per day.
-What is the probability,rounded to four decimal places,that on a given day,Rickenbacker Airlines will receive exactly 1 complaints?

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Q67 Q67 Q67

Use the following to answer questions 68-70:
Historical data indicates that Rickenbacker Airlines receives an average of 2.9 complaints per day.
-What is the probability,rounded to four decimal places,that on a given day,Rickenbacker Airlines will receive at least 5 complaints?

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Q68 Q68 Q68

Use the following to answer questions 68-70:
Historical data indicates that Rickenbacker Airlines receives an average of 2.9 complaints per day.
-What is the probability,rounded to four decimal places,that on a given day,Rickenbacker Airlines will receive less than 3 complaints?

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Q69 Q69 Q69

It costs $7.25 to play a very simple game,in which a dealer gives you one card from a deck of 52 cards.If the card is a heart,spade,or diamond,you lose.If the card is a club other than the queen of clubs,you win $11.50.If the card is the queen of clubs,you win $49.50.The random variable x represents your net gain from playing this game once,or your winnings minus the cost to play.What is the mean of x,rounded to the nearest penny?

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Q70 Q70 Q70

All 10 of the orangutans at a certain zoo contract a very serious disease which claims 84% of its victims (if an orangutan contracts the disease,the probability that it will die is 0.84).What is the probability,rounded to four decimal places,that exactly 1 of the orangutans at this zoo will survive?

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Q72 Q72 Q72

The mean number of accidents to occur at a busy intersection during a 24-hour period has a Poisson distribution.If the probability of no accidents during a 24-hour period is 0.1165,what is the mean number of accidents,rounded to two decimal places,per 24-hour period?

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