A market research team compiled the following discrete probability distribution on the number of sodas the average adult drinks each day
31. A market research team compiled the following discrete probability distribution on the number of sodas the average adult drinks each day. In this distribution, x represents the number of sodas which an adult drinks.
x P(x)
0 0.30
1 0.10
2 0.50
3 0.10
The mean (average) value of x is _______________.
a) 1.4
b) 1.75
c) 2.10
d) 2.55
e) 3.02
Ans:
Response: See section 5.2 Describing a Discrete Distribution
Difficulty: Easy
Learning Objective: 5.2: Determine the mean, variance, and standard deviation of a discrete distribution.
32.
A market research team compiled the following discrete probability distribution on the number of sodas the average adult drinks each day. In this distribution, x represents the number of sodas which an adult drinks.
x P(x)
0 0.30
1 0.10
2 0.50
3 0.10
The standard deviation of x is _______________.
a) 1.04
b) 0.89
c) 1.40
d) .506
e) .588
Ans:
Response: See section 5.2 Describing a Discrete Distribution
Difficulty: Easy
Learning Objective: 5.2: Determine the mean, variance, and standard deviation of a discrete distribution.
33. A market research team compiled the following discrete probability distribution. In this distribution, x represents the number of automobiles owned by a family.
x P(x)
0 0.10
1 0.10
2 0.50
3 0.30
Which of the following statements is true?
a) This distribution is skewed to the right.
b) This is a binomial distribution.
c) This is a normal distribution.
d) This distribution is skewed to the left.
e) This distribution is bimodal.
Ans:
Response: See section 5.2 Describing a Discrete Distribution
Difficulty: Easy
Learning Objective: 5.2: Determine the mean, variance, and standard deviation of a discrete distribution.
34. A market research team compiled the following discrete probability distribution for families residing in Randolph County. In this distribution, x represents the number of evenings the family dines outside their home during a week.
x P(x)
0 0.30
1 0.50
2 0.10
3 0.10
The mean (average) value of x is _______________.
a) 1.0
b) 1.5
c) 2.0
d) 2.5
e) 3.0
Ans:
Response: See section 5.2 Describing a Discrete Distribution
Difficulty: Easy
Learning Objective: 5.2: Determine the mean, variance, and standard deviation of a discrete distribution.
35. A market research team compiled the following discrete probability distribution for families residing in Randolph County. In this distribution, x represents the number of evenings the family dines outside their home during a week.
x P(x)
0 0.30
1 0.50
2 0.10
3 0.10
The standard deviation of x is _______________.
a) 1.00
b) 2.00
c) 0.80
d) 0.89
e) 1.09
Ans:
Response: See section 5.2 Describing a Discrete Distribution
Difficulty: Easy
Learning Objective: 5.2: Determine the mean, variance, and standard deviation of a discrete distribution.
36. If x has a binomial distribution with p = .5, then the distribution of x is ________.
a) skewed to the right
b) skewed to the left
c) symmetric
d) a Poisson distribution
e) a hypergeometric distribution
Ans:
Response: See section 5.3 Binomial Distribution
Difficulty: Easy
Learning Objective: 5.3: Solve problems involving the binomial distribution using the binomial formula and the binomial table.
37. The following graph is a binomial distribution with n = 6.
This graph reveals that ____________.
a) p > 0.5
b) p = 1.0
c) p = 0
d) p < 0.5
e) p = 1.5
Ans:
Response: See section 5.3 Binomial Distribution
Difficulty: Medium
Learning Objective: 5.3: Solve problems involving the binomial distribution using the binomial formula and the binomial table.
38. The following graph is a binomial distribution with n = 6.
This graph reveals that ____________.
a) p > 0.5
b) p = 1.0
c) p = 0
d) p < 0.5
e) p = 1.5
Ans:
Response: See section 5.3 Binomial Distribution
Difficulty: Medium
Learning Objective: 5.3: Solve problems involving the binomial distribution using the binomial formula and the binomial table.
39. The following graph is a binomial distribution with n = 6.
This graph reveals that ____________.
a) p = 0.5
b) p = 1.0
c) p = 0
d) p < 0.5
e) p = 1.5
Ans:
Response: See section 5.3 Binomial Distribution
Difficulty: Medium
Learning Objective: 5.3: Solve problems involving the binomial distribution using the binomial formula and the binomial table.
40. If x is a binomial random variable with n=10 and p=0.8, the mean value of x is _____.
a) 6
b) 4.8
c) 3.2
d) 8
e) 48
Ans:
Response: See section 5.3 Binomial Distribution
Difficulty: Medium
Learning Objective: 5.3: Solve problems involving the binomial distribution using the binomial formula and the binomial table.
41. If x is a binomial random variable with n=10 and p=0.8, the standard deviation of x is _________.
a) 8.0
b) 1.26
c) 1.60
d) 64.0
e) 10
Ans:
Response: See section 5.3 Binomial Distribution
Difficulty: Medium
Learning Objective: 5.3: Solve problems involving the binomial distribution using the binomial formula and the binomial table.
42. If x is a binomial random variable with n=10 and p=0.8, what is the probability that x is equal to 4?
a) .0055
b) .0063
c) .124
d) .232
e) .994
Ans:
Response: See section 5.3 Binomial Distribution
Difficulty: Medium
Learning Objective: 5.3: Solve problems involving the binomial distribution using the binomial formula and the binomial table.
43. Twenty five individuals are randomly selected out of 100 shoppers leaving a local bedding store. Each shopper was asked if they made a purchase during their visit. Each of the shoppers has the same probability of answering ‘yes’ to having made a purchase. The probability that exactly four of the twenty-five shoppers made a purchase could best be found by _______.
a) using the normal distribution
b) using the binomial distribution
c) using the Poisson distribution
d) using the exponential distribution
e) using the uniform distribution
Ans:
Response: See section 5.3 Binomial Distribution
Difficulty: Medium
Learning Objective: 5.3: Solve problems involving the binomial distribution using the binomial formula and the binomial table.
44. During a recent sporting event, a quarter is tossed to determine which team picks the starting side. Suppose the referee says the coin will be tossed 3 times and the best two out of three wins If team A calls ‘heads’, what is the probability that exactly two heads are observed in three tosses?
a) .313
b) .375
c) .625
d) .875
e) .500
Ans:
Response: See section 5.3 Binomial Distribution
Difficulty: Medium
Learning Objective: 5.3: Solve problems involving the binomial distribution using the binomial formula and the binomial table.
45. A student randomly guesses the answers to a five question true/false test. If there is a 50% chance of guessing correctly on each question, what is the probability that the student misses exactly 1 question?
a) 0.200
b) 0.031
c) 0.156
d) 0.073
e) 0.001
Ans:
Response: See section 5.3 Binomial Distribution
Difficulty: Medium
Learning Objective: 5.3: Solve problems involving the binomial distribution using the binomial formula and the binomial table.
46. A student randomly guesses the answers to a five question true/false test. If there is a 50% chance of guessing correctly on each question, what is the probability that the student misses no questions?
a) 0.000
b) 0.200
c) 0.500
d) 0.031
e) 1.000
Ans:
Response: See section 5.3 Binomial Distribution
Difficulty: Medium
Learning Objective: 5.3: Solve problems involving the binomial distribution using the binomial formula and the binomial table.
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