Jan 9, 2017

- Provide an appropriate response.
**1.**Compare the probability histogram for the expected sum with the actual results. What do you conclude about the dice results displayed in the Actual Sum of Two Dice histogram?

*Possible answer***2.**Describe the differences in the Poisson and the binomial distribution.*Possible answer*

- Identify the given random variable as being discrete or continuous.
**3.**The number of oil spills occurring off the Alaskan coast.- Continuous
- Discrete

**4.**The braking time of a car.- Discrete
- Continuous

- Determine whether the following is a probability distribution. If not, identify the requirement that is not satisfied.
**5**.*Possible answer***6.**In a certain town, 20% of adults have a college degree. The accompanying table describes the probability distribution for the number of adults (among 4 randomly selected adults) who have a college degree.

*Possible answer*

- Find the mean of the given probability distribution.
**7.**In a certain town, 60% of adults have a college degree. The accompanying table describes the probability distribution for the number of adults (among 4 randomly selected adults) who have a college degree.

- 2.30
- 2.40
- 2.00
- 2.43

**8.**In a certain town, 30% of adults have a college degree. The accompanying table describes the probability distribution for the number of adults (among 4 randomly selected adults) who have a college degree. Find the standard deviation for the probability distribution.

- 1.51
- 0.92
- 1.06
- 0.84

**9.**The prizes that can be won in a sweepstakes are listed below together with the chances of winning each one:

$3800 (1 chance in 8300);

$2600 (1 chance in 6900);

$800 (1 chance in 3000);

$300 (1 chance in 2300).

Find the expected value of the amount won for one entry if the cost to enter is 70 cents.- $1.23
- $0.53
- $299.30
- $0.40

**10.**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. Answer the question using the table.

Find the probability of selecting 12 or more girls.- 0.022
- 0.006
- 0.001
- 0.007

- Answer the question.
**11.**Suppose that weight of adolescents in being studied by a health organization and that the accompanying tables describes the probability distribution for three randomly selected adolescents, where x is the number who are considered morbidly obese. Is it unusual to have no obese subjects among three randomly selected adolescents?

- Yes
- No

- Determine whether the given procedure results in a binomial distribution. If not, state the reason why.
**12.**Rolling a single “loaded” die 39 times, keeping track of the “fives” rolled.- Not binomial: there are too many trials.
- Procedure results in a binomial distribution.
- Not binomial: there are more than two outcomes for each trial.
- Not binomial: the trials are not independent.

- 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.
**13.**n = 12, x = 5, p = 0.25- 0.082
- 0.027
- 0.103
- 0.091

- Find the indicated probability.
**14.**An airline estimates that 90% of people booked on their flights actually show up. If the airline books 71 people on a flight for which the maximum number is 69, what is the probability that the number of people who show up will exceed the capacity of the plane?- 0.0223
- 0.0044
- 0.0050
- 0.0006

- Find the standard deviation, σ, for the binomial distribution which has the stated values of n and p. Round your answer to the nearest hundredth.
**15.**n = 721, p = .7- 9.89
- 16.42
- 15.57
- 12.30

- Use the given values of n and p to find the minimum usual value μ – 2σ and the maximum usual value μ + 2σ.
**16.**n = 2220, p = 0.595- Minimum: 1288.19; maximum: 1353.61
- Minimum: 1297.771; maximum: 1344.029
- Minimum: 1274.641; maximum: 1367.159
- Minimum: 1367.159; maximum: 1274.641

- Solve the problem.
**17.**The probability is 0.4 that a person shopping at a certain store will spend less than $20. For groups of size 18, find the mean number who spend less than $20.- 7.2
- 8.0
- 10.8
- 12.0

**18.**According to a college survey, 22% of all students work full time. Find the standard deviation for the number of students who work full time in samples of size 16.- 1.88
- 2.75
- 3.52
- 1.66

- Determine is the outcome is unusual. Consider as unusual any result that differs from the mean by more than 2 standard deviations. That is, unusual values are either less than μ – 2σ or greater than μ + 2σ.
**19.**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 to be conducted. For such groups of 800, would it be unusual get 554 consumers who recognize the Dull Computer Company name?- Yes
- No

- Use the Poisson Distribution to find the indicated probability.
**20.**For a certain type of fabric, the average number of defects in each square foot of fabric is 0.4. Find the probability that a randomly selected square foot of the fabric will contain more than one defect.- 0.7319
- 0.0536
- 0.9384
- 0.0616

*Problems with solutions in Elementary Statistics — Random Variables; Binomial Probability Distributions: Mean, Variance, and Standard Deviation for the Binomial Distribution; The Poisson Distribution.***Directions:**

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