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    Probability Distributions

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    Question 1: Fifty-three percent of the population possesses characteristic X. If 15 people are randomly selected from the population, what is the probability that exactly 9 possess characteristic X?

    a) .2009
    b) .1653
    c) .1780
    d) .1102

    Question2: A researcher is interviewing groups of 15 people to determine how many of them have degrees in business. The data gathered will most likely be outcomes from a:

    a) continuous random variable
    b) discrete random variable
    c) education random variable
    d) interviewed random variable

    Question 3: If the following binomial problem is approximated by the Poisson distribution, the probability is: Prob(x = 4 n = 600 and p = .011)

    a) .0661
    b) .1076
    c) .1295
    d) .1673

    Question 4: Customers arrive randomly at a small boutique at a rate of 2.6 every ten minutes. What is the probability that exactly 3 customers arrive in a five-minute interval?

    a) .0319
    b) .0687
    c) .9711
    d) .0998

    Question 5: The combinations part of the binomial formula compute the:

    a) sample space
    b) probability of a success
    c) probability of a single sequence
    d) number of sequences

    Question 6: A discrete distributions that is used to describe the occurrence of rare events is:

    a) binomial
    b) Poisson
    c) Hypergeometric
    d) Chi-square

    Question 7: In a binomial experiment, p is .83. If n = 12, what is the probability that x = 10?

    a) 0.3277
    b) 0.1784
    c) 0.296
    d) 0.2203

    Question 8 : Consider the following discrete random distribution. What is the mean of the distribution?

    a) 2.48
    b) 0.85
    c) 1.97
    d) 1.26

    Question 9: The graph of the binomial distribution, n = 20 and p = .50 is:

    a) skewed right
    b) skewed left
    c) approximately symmetrical
    d) bimodal

    Question 10: There are 15 people in the job applicant pool. Ten of the people in the applicant pool wear glasses. If 4 people are randomly hired from the applicant pool, what is the probability that none of the people hired wear glasses?

    a) 0.3409
    b) 0.2748
    c) 0.2133
    d) 0.0037

    Question 11: In a binomial experiment, p is .29 and n = 18. What is the standard deviation of this binomial distribution?

    a) 1.925
    b) 1.046
    c) 2.129
    d) 3.425

    Question 12: Consider the following discrete random distribution. What is the standard deviation of the distribution?

    a) 1.3619
    b) 1.1701
    c) 1.0063
    d) 1.2648

    Question 13: In a binomial experiment, p is .30. If n = 10, what is the probability that 2 <= 5?

    a) 0.348
    b) 0.5274
    c) 0.803
    d) 0.9127

    Question 14: Perhaps the most widely known of all discrete distributions is the:

    a) hypergeometric distribution
    b) binomial distribution
    c) normal distribution
    d) Poisson distribution

    Question 15: The office receptionist receives, on average, 2.43 calls every half hour. What is the probability that in a twenty-minute interval, the receptionist receives exactly 2 calls?

    a) 0.3015
    b) 0.2597
    c) 0.2017
    d) 0.1852

    Question 16: There are 15 people in the job applicant pool. Ten of the people in the pool wear glasses. If 4 people are randomly hired from the applicant pool, what is the probability that exactly 3 wear glasses?

    a) 0.4396
    b) 0.3763
    c) 0.2985
    d) 0.2209

    Question 17: The Poisson distribution can be used to approximate binomial distributions problems if:

    a) n< 20 and n? p<= 7
    b) n> 20 and n? p<= 7
    c) n> 20 and n? p>=7
    d) n< 20 and n? p>= 7

    Question 18: Consider the following discrete random distribution. What is the variance of the distribution?

    a) 1.56
    b) 2.09
    c) 1.37
    d) 1.04

    Question 19: Customers arrive randomly at a small boutique at a rate of 2.6 every ten minutes. What is the probability that more than 6 customers arrive in a ten-minute interval?

    a) 0.232
    b) 0.0171
    c) 0.0653
    d) 0.0982

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    https://brainmass.com/statistics/probability/probability-distributions-101581

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    Question 1 Multiple Choice
    Fifty-three percent of the population possesses characteristic X. If 15 people are randomly selected from the population, what is the probability that exactly 9 possess characteristic X?
    0.2009
    0.1653
    0.178
    0.1102

    Answer: 0.178

    This is Binomial distribution

    Binommial distribution

    P(r)= ncr p r * q n-r

    n= 15
    p= 0.53
    q=1-p= 0.47
    r= 9
    P(r)= ncr p r * q n-r =
    r=
    9 P(9)= 0.1780 =5005*(0.53^9)*(0.47^6)

    Question 2 Multiple Choice
    A researcher is interviewing groups of 15 people to determine how many of them have degrees in business. The data gathered will most likely be outcomes from a:
    continuous random variable
    discrete random variable
    education random variable
    interviewed random variable

    Answer: discrete random variable

    Question 3 Multiple Choice
    If the following binomial problem is approximated by the Poisson distribution, the probability is: Prob(x = 4
    n = 600 and p = .011)
    0.0661
    0.1076
    0.1295
    0.1673

    Answer: 0.1076

    Poisson distribution:

    P(x)= lambda x e -lambda / x!
    where
    P(x)= probability of x
    lambda = average

    Here
    lambda = 6.6 =600*0.011
    x=
    4 P(4)= 0.1076 or 10.76%

    Question 4 Multiple Choice
    Customers arrive randomly at a small boutique at a rate of 2.6 every ten minutes.
    What is the probability that exactly 3 customers arrive in a five-minute interval?
    0.0319
    0.0687
    0.9711
    0.0998

    Answer: 0.0998

    This is
    Poisson distribution:

    P(x)= lambda x e -lambda / x!
    where
    P(x)= probability of x
    lambda = average

    Here
    lambda = 1.3 =2.6*(5/10)
    x=
    3 P(3)= 0.0998 or 9.98%

    Question 5 Multiple Choice
    The combinations part of the binomial formula compute the:
    sample space
    probability of a success
    probability of a single sequence
    number of sequences

    Answer: number of sequences

    Question 6 Multiple Choice
    A discrete ...

    Solution Summary

    Answers Multiple Choice questions on Probability Distributions

    $2.19