Questions: This question: 1 point The accompanying table describes results from groups of 8 births from 8 different sets of parents. The random variable x represents the number of girls Click the icon to view the table. 0.0312 (Type an integer or a decimal. Do not round.) b. Find the probability of getting 1 or fewer girls in 8 births. 0.0352 (Type an integer or a decimal. Do not round.) c. Which probability is relevant for determining whether 1 is a significantly low number of girls in 8 births: the result from part (a) or part (b)? A. Since the probability of getting 0 girls is less likely than getting 1 girl, the result from part (a) is the relevant probability. B. Since the probability of getting more than 1 girl is the complement of the result from part (b), this is the relevant probability. C. Since getting 0 girls is an even lower number of girls than getting 1 girl, the result from part (b) is the relevant probability. D. Since the probability of getting 1 girl is the result from part (a), this is the relevant probability. d. Is 1 a significantly low number of girls in 8 births? Why or why not? Use 0.05 as the threshold for a significant event. A. Yes, since the appropriate probability is less than 0.05, it is a significantly low number. B. No, since the appropriate probability is greater than 0.05, it is not a significantly low number. C. No, since the appropriate probability is less than 0.05, it is not a significantly low number. D. Yes, since the appropriate probability is greater than 0.05, it is a significantly low number.

This question: 1 point The accompanying table describes results from groups of 8 births from 8 different sets of parents. The random variable x represents the number of girls Click the icon to view the table. 0.0312 (Type an integer or a decimal. Do not round.) b. Find the probability of getting 1 or fewer girls in 8 births. 0.0352 (Type an integer or a decimal. Do not round.) c. Which probability is relevant for determining whether 1 is a significantly low number of girls in 8 births: the result from part (a) or part (b)? A. Since the probability of getting 0 girls is less likely than getting 1 girl, the result from part (a) is the relevant probability. B. Since the probability of getting more than 1 girl is the complement of the result from part (b), this is the relevant probability. C. Since getting 0 girls is an even lower number of girls than getting 1 girl, the result from part (b) is the relevant probability. D. Since the probability of getting 1 girl is the result from part (a), this is the relevant probability. d. Is 1 a significantly low number of girls in 8 births? Why or why not? Use 0.05 as the threshold for a significant event. A. Yes, since the appropriate probability is less than 0.05, it is a significantly low number. B. No, since the appropriate probability is greater than 0.05, it is not a significantly low number. C. No, since the appropriate probability is less than 0.05, it is not a significantly low number. D. Yes, since the appropriate probability is greater than 0.05, it is a significantly low number.
Transcript text: This question: 1 poin The accompanying table describes results from groups of 8 births from 8 different sets of parents. The random variable $\times$ represents the number of girls Click the icon to view the table. 0.0312 (Type an integer or a decimal. Do not round.) b. Find the probability of getting 1 or fewer girls in 8 births. 0.0352 (Type an integer or a decimal. Do not round.) c. Which probability is relevant for determining whether 1 is a significantly low number of girls in 8 births: the result from part (a) or part (b)? A. Since the probability of getting 0 girls is less likely than getting 1 girl, the result from part (a) is the relevant probability. B. Since the probability of getting more than 1 girl is the complement of the result from part (b), this is the relevant probability. C. Since getting 0 girls is an even lower number of girls than getting 1 girl, the result from part (b) is the relevant probability. D. Since the probability of getting 1 girl is the result from part (a), this is the relevant probability. d. Is 1 a significantly low number of girls in 8 births? Why or why not? Use 0.05 as the threshold for a significant event. A. Yes, since the appropriate probability is less than 0.05 , it is a significantly low number. B. No, since the appropriate probability is greater than 0.05 , it is not a significantly low number. C. No, since the appropriate probability is less than 0.05 , it is not a significantly low number. D. Yes, since the appropriate probability is greater than 0.05 , it is a significantly low number.
failed

Solution

failed
failed

Solution Steps

Step 1: Calculating Exact Probability

To calculate the exact probability of having exactly 1 girls out of 8 births, we use the binomial probability formula: \[P(X = 1) = \binom{8}{1} 0.5^{1} (1-0.5)^{8-1}\] This gives us an exact probability of 0.0312.

Step 2: Calculating Cumulative Probability for x or Fewer Successes

To find the probability of having 1 or fewer girls, we sum the probabilities of having 0 to 1 successes: The cumulative probability for 1 or fewer successes is 0.0352.

Step 3: Calculating Cumulative Probability for x or More Successes

To find the probability of having 1 or more girls, we sum the probabilities of having 1 to 8 successes: The cumulative probability for 1 or more successes is 0.996.

Step 4: Determining Significance

Given the significance level of 0.05, The event is significantly low.

Final Answer:

The exact probability of having exactly 1 girls out of 8 births is 0.0312. The cumulative probability of having 1 or fewer girls is 0.0352, and the cumulative probability of having 1 or more girls is 0.996. The event is significantly low.

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
max height = v t + 1/2 a t^2 (meters)
failedAnswered
The two main concerns of inventory control relate to the costs and the level of customer service.
failedAnswered
Suppose that the functions g and h are defined as follows: g(x) = 3x^2 - 7 h(x) = 6x - 7 (a) Find (g/h)(-5). (b) Find all values that are NOT in the domain of g/h. If there is more than one value, separate them with commas. (a) (g/h)(-5) = [] (b) Value(s) that are NOT in the domain of g/h: []
failedAnswered
Alexander Hamilton, James Madison, and John Jay wrote a series of essays, beginning in 1787, arguing for a strong federal government and support of the Constitution. Today these papers as known as: The Constitutionalists The Bill of Rights The Federalist Papers The Articles of Confederation
failedAnswered
A nurse is caring for a client who has an increase in cardiac output. Which of the following findings should the nurse expect? Increase in blood pressure Decrease in respiratory rate Decrease in heart rate Decrease in stroke volume