For this exercise, state the reason why we label the mean of a random variable X as $\mu_X$?

Write the equality and conversion factors for the following pair of unit: dimes and dollars.

Let x be a binomial random variable with n=7 and p=.5. Find the values of the quantities.

$$P(x=4)$$

Answer true of false for each part.

a. When you flip a coin ten times, you are more likely to get the sequence HHHHHTTTTT than the sequence HHHHHHHHHH.

b. When you flip a coin ten times, you are more likely to get a sequence that contains five heads than a sequence that contains ten heads.

The SI unit of electric potential difference is the (a) joule, (b) newton per coulomb, (c) newton-meter, (d) joule per coulomb.

Let $(a, b)=1$. Prove that $\left(a, b^n\right)=1$ for all positive integers $n$.

Write conversion factors as fractions and ratios for the following conversions. pounds to grams

Complete each conversion. $\frac{3}{4}$ year=$\square$ weeks

A point is selected at random from the interval (0, 2000). What is the probability that it is an integer?

What is the conversion factor when converting from liters to milliliters?

A pizza restaurant features ten different kinds of toppings. When you order a quadruple pie, you get to pick four toppings on your pizza. a. How many different quadruple pizzas can be made if the four toppings must be different? b. How many different quadruple pizzas can be made if toppings may be repeated (e.g. onions, olives, and double mushrooms, or triple anchovies and garlic).

In the "Fosbury flop" method of high jumping, named for the track and field star Dick Fosbury, an athlete's center of mass may pass under the bar while the athlete's body passes over the bar. Explain how this is possible.

Without a calculator, decide whether the quantities are positive or negative.

$$(-3)^4$$

Find the probability $P(1 \leq Z \leq 2)$ for a standard normal random variable Z.