# 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

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

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

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

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

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

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

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

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

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