Project #73813 - stat

Question 1 

1. Determine whether the given procedure results in a binomial distribution. If not, state the reason why. 13. Choosing 3 marbles from a box of 40 marbles (20 purple, 12 red, and 8 green) one at a time with replacement, keeping track of the number of red marbles chosen. 

a.

Not binomial: there are too many trials.

b.

Procedure results in a binomial distribution.

c.

Not binomial: there are more than two outcomes for each trial.

d.

Not binomial: the trials are not independent.

10 points   

Question 2 

1. Assume that a procedure yields a binomial distribution with a trial repeated n times. 15. Find the mean, u, for the binomial distribution which has the stated values of n and p. Round to the nearest tenth. n=33 p=0.2 

a.

u=6.1

  

b.

u=6.9

  

c.

u=7.3

  

d.

u=6.6

  

10 points   

Question 3 

1. Assume that a procedure yields a binomial distribution with a trial repeated n times. Find the standard deviation for the binomial distribution which has the stated values of n and p. Round to the nearest hundredth. n=36, p=0.2 

a.

stdev = 6.25

b.

stdev=-0.01

c.

stdev=5.67

d.

stdev = 2.40

10 points   

Question 4 

1. The random variable x is the number of houses sold by a realtor in a single month at the Sendsom's Real Estate office. Its probability distribution is as follows: 

Houses sold (x)

p(x)

0

0.24

1

0.01

2

0.12

3

0.16

4

0.01

5

0.14

6

0.11

7

0.21

2. Find the standard deviation for the distribution above. 

a.

2.25

  

b.

2.62

  

c.

6.86

  

d.

4.45

  

10 points   

Question 5 

1. Assume that a researcher randomly selects 14 newborn babies and counts the number of girls selected, x.  The probabilities corresponding to the 14 possible values of x are summarized in the given table. 

x   

p(x)

x

p(x)

x

p(x)

0

0.000

5

0.122

10

0.061

1

0.001

6

0.183

11

0.022

2

0.006

7

0.209

12

0.006

3

0.022

8

0.183

13

0.001

4

0.061

9

0.122

14

0.000

2. Find the probability of selecting exactly 8 girls.

a.

0.122

  

b.

0.022

  

c.

0.183

  

d.

0.000

  

10 points   

Question 6 

1. Assume that a researcher randomly selects 14 newborn babies and counts the number of girls selected, x. The probabilities corresponding to the 14 possible values of x are summarized in the given table. 

x

p(x)

x

p(x)

x

p(x)

0

0.000

5

0.122

10

0.061

1

0.001

6

0.183

11

0.022

2

0.006

7

0.209

12

0.006

3

0.022

8

0.183

13

0.001

4

0.061

9

0.122

14

0.000

2. Find the probability of selecting 9 or more girls.

a.

0.061

  

b.

0.212

  

c.

0.122

  

d.

0.001

  

10 points   

Question 7 

1. Determine whether the following is a probability distribution. If not, identify the requirement that is not satisfied. 

x

p(x)

0

0.287

1

0.225

2

-0.027

3

0.339

4

0.080

5

0.096

a.

The distribution is a probability distribution.

b.

The distribution is not a probability distribution, the sum of p(x)'s is not one.

c.

The distribution is not a probability distribution, a p(x) is greater than one.

d.

The distribution is not a probability distribution, a p(x) is negative.

10 points   

Question 8 

1. Use the Poisson Distribution to find the indicated probability. The Columbia Power Company experiences power failures with a mean of u = 0.210 per day. Find the probability that there are exactly two power failures in a particular day. 

a.

0.085

  

b.

0.036

  

c.

0.018

  

d.

0.027

  

10 points   

Question 9 

1. Identify the given random variable as being discrete or continuous. The number of oil spills occurring off the Alaskan coast. 

a.

Discrete

  

b.

Continuous

  

10 points   

Question 10 

1. Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula to find the probability of x successes given the probability p of success on a single trial. 14) n=5, x=2, p=0.70 

a.

0.198

  

b.

0.700

  

c.

0.464

  

d.

0.132

  

10 points   

Question 11 

1. Determine whether the following is a probability distribution. If not, identify the requirement that is not satisfied. 

x

p(x)

1

0.037

2

0.200

3

0.444

4

0.296

a.

Not a probability distribution, a p(x) is greater than 1.

b.

The distribution is a probability distribution.

c.

Not a probability distribution, sum of p(x)'s is not 1.

d.

Not a probability distribution, a p(x) is negative.

10 points   

Question 12 

1. Determine if the outcome is unusual. Consider as unusual any result that differs from the mean by more than 2 standard deviations, either less than or greater than. A survey for brand recognition is done and it is determined that 68% of consumers have heard of Dull Computer Company. A survey of 800 randomly selected consumers is the be conducted. For such groups of 800, would it be unusual to get 687 consumers who recognize the Dull Computer Company name? 

a.

Yes

  

b.

No

  

10 points   

Question 13 

1. Determine whether the following is a probability distribution. If not, identify the requirement that is not satisfied.

x

p(x)

0

0.23

1

0.24

2

0.30

3

0.14

4

0.09

a.

The distribution is a probability distribution.

b.

The distribution is not a probability distribution, a p(x) is negative.

c.

The distribution is not a probability, the sum of p(x)'s is not equal to one.

d.

The distribution is not a probability distribution, a p(x) is greater than one.

10 points   

Question 14 

1. The random variable x is the number of houses sold by a realtor in a single month at the Sendsom's Real Estate office.  Its probability distribution is as follows: 

Houses sold (x)

p(x)

0

0.24

1

0.01

2

0.12

3

0.16

4

0.01

5

0.14

6

0.11

7

0.21

2. Find the mean of the distribution above.

a.

3.60

  

b.

3.40

  

c.

3.35

  

d.

3.50

  

10 points   

Question 15 

1. A contractor is considering a sale that promises a profit of $23,000 with a probability of 0.7 or a loss (due to bad weather, strikes and such) of $13,000 with a probability of 0.3. What is the expected profit? 

a.

$16,100

  

b.

$25,200

  

c.

$12,200

  

d.

$10,000

  

10 points   

Question 16 

1. Identify the given random variable as being discrete or continuous. The pH level in a shampoo. 

a.

Continuous

  

b.

Discrete

  

10 points   

Question 17 

1. In a game, you have a 1/42 probability of winning $67 and a 41/42 probability of losing $7. What is your expected value? 

a.

-$5.24

  

b.

$8.43

  

c.

$1.60

  

d.

-$6.83

  

10 points   

Question 18 

1. Use the given values n and p to find the minimum usual value and the maximum value using the rule of thumb. n=94 p=0.20 

a.

Minimum: 14.92; maximum: 22.68

b.

Minimum: 11.04; maximum: 26.56

c.

Miniumum: -11.28; maximum: 48.88

d.

Minimum: 26.56; maximum: 11.04

10 points   

Question 19 

1. According to a college survey, 22% of all students work full time. Find the mean for the number of students who work full time in samples of size 16. 

a.

0.22

  

b.

3.52

  

c.

2.75

  

d.

4.00

  

10 points   

Question 20 

1. Determine whether the given procedure results in a binomial distribution. If not, state the reason why. 12. Rolling a single die 19 times, keeping track of the numbers that are rolled. 

a.

Not binomial: the trials are not independetn.

b.

Not binomial: there are more than two outcomes for each trial.

c.

Not binomial: there are too many trials.

d.

Procedure results in a binomial distribution.

Subject Mathematics
Due By (Pacific Time) 06/14/2015 12:00 am
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