If two events A and B are independent, how do the probabilities P(A) and P(A | B) compare?

Find the value of the coefficient of determination $r^{2}$. What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained? An economist is studying the job market in Denver area neighborhood. Let x represent the total number of jobs in a given neighborhood, and let y represent the number of entry-level jobs in the same neighborhood. A sample of six Denver neighborhood gave the following information (units in 100s of jobs).

$$\begin{array}{c|cccccc} \hline x & 16 & 33 & 50 & 28 & 50 & 25 \\ \hline y & 2 & 3 & 6 & 5 & 9 & 3 \\ \hline \end{array}$$

Given $\Sigma x=202, \Sigma y=28, \Sigma x^{2}=7754, \Sigma y^{2}=164, \Sigma x y=1096, \text { and } r \approx 0.860$.

Consider the following two events for an individual: A=owns a cell phone. B=owns a laptop computer. Translate each event into words. $A^{c}$

Consider the following two events for an individual: A = owns a cell phone B = owns a laptop computer. Translate each event into words. (a) $A^{c}$ (b) A and B (c) A or B (d) $A | B$ (e) B | A.

Consider the following two events for an individual: A=owns a cell phone, B=owns a laptop computer. Translate each event into words. B|A

Consider the following two events for an individual: A=owns a cell phone. B=owns a laptop computer. Translate each event into words. A|B

A drawer contains 6 red socks, 4 green socks, and 2 black socks. Two socks are chosen at random. What is the probability that they match?

Determine the following for a q-curve with parameters $\kappa=8$ and v=20. a. The q-value having area 0.01 to its right b. $q _{0.05}$

What gland is the only one that stores its hormones for later use?

Match the term in column B with its related term in column A. HCl

In the third week of July, a random sample of 40 farming regions gave a sample mean of $\bar{x}=\$ 6.88$ per 100 pounds of watermelon. Assume that $\sigma$ is known to be $1.92 per 100 pounds. Find a 90% confidence interval for the population mean price (per 100 pounds) that farmers in this region get for their watermelon crop. What is the margin of error?

There are 104 students in Professor Negroponte's statistics class, 49 males and 55 females. Sixty of the students live in the dorms and the rest live off campus. Twenty of the males live off-campus. Choose a student at random from this class. Let Event M= the student is male and Event D= the student lives in the dorms. Find each of the following probabilities and interpret them in context.

$$\begin{array}{llll} \text { (i) } P(\mathrm{M} \cup \mathrm{D}) & \text { (ii) } P\left(\mathrm{M}^{\mathrm{C}} \cap \mathrm{D}\right) & \text { (iii) } P(\mathrm{D} | \mathrm{M}) \end{array}$$

Modern medical practice tells us not to encourage babies to become too fat. Is there a positive correlation between the weight x of a 1-year-old baby and the weighty of the mature adult (30 years old)? A random sample of medical files produced the following information for 14 females:

$$\scriptstyle\begin{matrix} \text{x (lb)} & \text{21} & \text{25} & \text{23} & \text{24} & \text{20} & \text{15} & \text{25} & \text{21} & \text{17} & \text{24} & \text{26} & \text{22} & \text{18} & \text{19}\\ \text{y (lb)} & \text{125} & \text{125} & \text{120} & \text{125} & \text{130} & \text{120} & \text{145} & \text{130} & \text{130} & \text{130} & \text{130} & \text{140} & \text{110} & \text{115}\\ \end{matrix}$$

$\Sigma x=300$; $\Sigma y=1775$; $\Sigma x^{2}=6572$; $\Sigma y^{2}=226,125$; $\Sigma x y=38,220$ Test the claim that the population correlation coefficient $\boldsymbol{\rho}$ is positive at the 1% level of significance.

How does hydrogen bonding differ from ionic and covalent bonding?