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Question: In a certain town, 10% of the families have no children, 10% have one child, 40% have two children, 30% have three children, and 10% have four children. Assume that births are independent of each other, and equally likely to produce male or female.
a) One family is picked at random from all of the families in this town. What is the probability that there are at least two children in the family?
b) One family is picked at random from all of the families in this town. Guess the size of the family, given that it has at least two girls. Given reasons for your guess,
c) A family is picked at random from among the families with four children. Then a child is picked at random from the selected family. What is the chance that the child picked is a girl with at least one brother?
Let x1, ..., xn be a random sample from an exponential distribution, X ~ EXP(theta) a) If x(bar) = 17.9 with n = 50, then find a one-sided lower 95% confidence limit for theta.
Suppose we randomly sample 400 nucleotides from the human genome. (Consider only a single strand.) Does the occurrence of adenine, thiamine, cytosine and guanine (A, C, T and G) in this sample suggest that nucleotides in the human genome follow a ..
Find that SAT scores correlate .45 with GPA for both Group X and Group Y. Would you conclude that the test was biased? Explain.
Obtain a 95% con?dence interval for home price. Do parametric or nonparametric methods seem more appropriate for the data? Obtain a scatterplot between the square-foot area of a home and its price.
Graph this probability versus n for n equal to multiples of 50 up to 1000. - Discuss the behavior of this function and why it behaves as it does.
The impact of three different advertising techniques is being studied by a marketing firm.- Can we conclude that the advertising technique has an impact on sales? Use α= 0.10. What is the p-value?
an oil exploration firm is formed with enough capital to finance ten explorations. the probability of a particular
A laboratory in California is interested in finding the mean chloride level for a healthy resident in the state. A random sample of 50 healthy residents has a mean chloride level of 100 mEq/L.
For both the Gamma and Beta distribution, find the value of x that maximizes the density function. When is there just one local maximum?
I want to know whether the StdError of the fitted score (SEYhat) can be legitimately interpreted normally for N=1 subject, with only one plotted Y score for each X value.
Hoping to learn what issues may resonate with voters in the coming election, the campaign director for a mayoral candidate selects one block.
Describe in some detail how a hypothesis test could be used in some real world context such as business, politics, church, Girl Scouts, school, or perhaps your place of work.
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