J. P. Morgan Asset Management publishes information about financial investments. Between 2002 and 2011 the expected return for the S&P was with a standard deviation of and the expected return over that same period for a Core Bonds fund was with a standard deviation of (J. P. Morgan Asset Management, Guide to the Markets). The publication also reported that the correlation between the S&P and Core Bonds is . You are considering portfolio investments that are composed of an S&P index fund and a Core Bonds fund. a.  Using the information provided, determine the covariance between the S&P and Core Bonds. Round your answer to two decimal places. If required enter negative values as negative numbers.

Sharon draws a random card, from a regular deck of cards, and rolls a regular 6 sided die. What is the probability that Sharon draws a card that is a Heart and rolls a 3?

help me answer the question 5.9 a

A population of values has a normal distribution with μ=121.3${\displaystyle \mu =121.3}$ and σ=5.8${\displaystyle \sigma =5.8}$. You intend to draw a random sample of size n=149${\displaystyle n=149}$.

Find the probability that a single randomly selected value is between 119.8 and 121.2.
P(119.8 < X < 121.2)

Find the probability that a sample of size n=149${\displaystyle n=149}$ is randomly selected with a mean between 119.8 and 121.2.
P(119.8 < M < 121.2)

Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

A study compared women who viewed high levels of television violence as children with those who did not in order to study the differences with regard to physical abuse of their partners as adults. Use the table shown below to calculate the observed value of the chi-square statistic. The table shows both actual counts and expected counts (in parentheses).
$\begin{array}{|ccc|}\hline & \text{ High TV Violence }& \text{ Low TV Violence }\\ \text{ Yes, Physical Abuse }& 14(8.42)& 26(31.58)\\ \text{ No Physical Abuse }& 22(27.58)& 109(103.42)\\ \hline\end{array}$
The chi-square statistic is ${\chi }^2=\square$

. Find the Maclaurin series for f(x) = (1 + x) −3 using the definition. Find the radius of convergence.