In a survey, cell phone users were asked which ear they use to hear their cell phone, and the table is based on their responses. Determine whether a probability distribution is given. If a probability distribution is not given, identify the requirements that are not satisfied. Select all that apply

No, the random variable x is categorical instead of numerical.

Yes, the table shows a probability distribution.

No, the numerical values of the random variable x are not associated with probabilities

No, the sum of all the probabilities is not equal to 1.

No, not every probability is between 0 and 1 inclusive.

Find the probability that when a couple has three children, at least one of them is a boy. (Assume that boys and girls are equally likely.)

The probability is 7/8 that at least one of the three children is a boy.

The probability is 1/2 that at least one of the three children is a boy.

The probability is 3/4 that at least one of the three children is a boy.

The probability is 1/8 that at least one of the three children is a boy.

Assume that hybridization experiments are conducted with peas having the property that for offspring, there is a 0.25 probability that a pea has green pods. Assume that the offspring peas are randomly selected in groups of 32. Find the mean and the standard deviation for the numbers of peas with green pods in the groups of 32.

The value of the mean is μ = 8 peas. The value of the standard deviation is σ = 2.4 peas.

The value of the mean is μ = 8 peas. The value of the standard deviation is σ = 2.0 peas.

The value of the mean is μ = 6 peas. The value of the standard deviation is σ = 2.0 peas.

The value of the mean is μ = .25 peas. The value of the standard deviation is σ = 8 peas.

Assume that hybridization experiments are conducted with peas having the property that for offspring, there is a 0.25 probability that a pea has green pods. Assume that the offspring peas are randomly selected in groups of 32. Using the range rule of thumb Is the result of 1 pea significantly low?

Yes, 1 is less than 3 green peas

No, 1 is not less than zero green peas.

Yes, 1 is less than 2 green peas

Yes, the probability of 1 out of 32 peas being green given p=0.25 is less than .05

Assume that hybridization experiments are conducted with peas having the property that for offspring, there is a 0.25 probability that a pea has green pods. Assume that the offspring peas are randomly selected in groups of 32. Use the range rule of thumb to find the values separating results that are significantly low or significantly high.

Values of 3.1 peas or fewer are significantly low. Values of 12.9 peas or greater are significantly high.

Values of 2.4 peas or fewer are significantly low. Values of 3.1 peas or greater are significantly high.

Values of 3.1 peas or fewer are significantly low. Values of 10.4 peas or greater are significantly high.

Values of 2.4 peas or fewer are significantly low. Values of 12.9 peas or greater are significantly high.

Determine whether the given procedure results in a binomial distribution. If not, state the reason why. Rolling a single die 26 times, keeping track of the numbers that are rolled

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

Not binomial: the trials are not independent.

The procedure results in a binomial distribution.

Not binomial: there are too many trials.

When 100 engines are shipped, all of them are free of defects. Select a written description of the complement of the given event.

B. At least one of the engines is defective.

A. All of the engines are defective.

C. None of the engines are defective.

D. At most one of the engines is defective.

The random variable given in the accompanying table is because

there are a finite number of values.

there are infinitely many values

P(x) cannot represent probabilities

the probabilities are all between 0 and 1

the probabilities do not add up to 1.

Pearson Ch. 4 - 5 Quiz Prep

Authored by Veronica Hallsteinsson

Mathematics

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

A company manufactures batteries in batches of 6 and there is a 3% rate of defects. Find the mean number of defects per batch. Round to the nearest tenth as needed.

0.2 defects

5.8 defects

18 defects

1.8 defects

Tags

CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.2

CCSS.HSS.MD.B.5

MATH RESPONSE QUESTION

1 min • 1 pt

Let A denote the event of placing a $ 1 straight bet on a certain lottery and winning. Suppose that, for this particular lottery, there are 3, 360
different ways that you can select the four digits (with repetition allowed) in this lottery, and only one of those four-digit numbers will be the
winner. What is the value of P(Ā)? (Round to five decimal places as needed.)

Mathematical Equivalence

MATH RESPONSE QUESTION

1 min • 1 pt

Let A denote the event of placing a $ 1 straight bet on a certain lottery and winning. Suppose that, for this particular lottery, there are 3, 360
different ways that you can select the four digits (with repetition allowed) in this lottery, and only one of those four-digit numbers will be the
winner. What is the value of P(A)? (Round to five decimal places as needed.)

Mathematical Equivalence

MATH RESPONSE QUESTION

1 min • 1 pt

Based on a survey, assume that 42% of consumers are comfortable having drones deliver their purchases. Suppose that we want to find the probability that when six consumers are randomly selected, exactly three of them are comfortable with delivery by drones. Identify the values of n.

Mathematical Equivalence

Tags

CCSS.HSS.CP.B.9

CCSS.HSS.MD.A.3

MATH RESPONSE QUESTION

1 min • 1 pt

Based on a survey, assume that 42% of consumers are comfortable having drones deliver their purchases. Suppose that we want to find the probability that when six consumers are randomly selected, exactly three of them are comfortable with delivery by drones. The value of x is _______. (Type an integer or a decimal. Do not round.)

Mathematical Equivalence

Tags

CCSS.HSS.CP.B.9

MATH RESPONSE QUESTION

1 min • 1 pt

Based on a survey, assume that 42% of consumers are comfortable having drones deliver their purchases. Suppose that we want to find the probability that when six consumers are randomly selected, exactly three of them are comfortable with delivery by drones. The value of p is _______. (Type an integer or a decimal. Do not round.)

Mathematical Equivalence

Tags

CCSS.HSS.CP.B.9

MATH RESPONSE QUESTION

1 min • 1 pt

Based on a survey, assume that 42% of consumers are comfortable having drones deliver their purchases. Suppose that we want to find the probability that when six consumers are randomly selected, exactly three of them are comfortable with delivery by drones. The value of q is _______. (Type an integer or a decimal. Do not round.)

Mathematical Equivalence

Tags

CCSS.HSS.CP.B.9

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Pearson Ch. 4 - 5 Quiz Prep

A company manufactures batteries in batches of 6 and there is a 3% rate of defects. Find the mean number of defects per batch. Round to the nearest tenth as needed.

Based on a survey, assume that 42% of consumers are comfortable having drones deliver their purchases. Suppose that we want to find the probability that when six consumers are randomly selected, exactly three of them are comfortable with delivery by drones. Identify the values of n.

The accompanying table shows the probability distribution for x, the number that shows up when a loaded die is rolled. Find the mean.

The table below shows the soft drinks preferences of people in three age groups. If one of the 255 subjects is randomly selected, find the probability (in fractional form) that the person is over 40 and drinks cola.

Of 1232 people who came into a blood bank to give blood, 397 people had high blood pressure. Estimate the probability that the next person who comes in to give blood will have high blood pressure. Round to three decimal places as needed.

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