11. Based on a survey, assume that 49% of consumers are comfortable having drones deliver their purchases. Suppose that we want to find the probability that when four consumers are randomly selected, exactly two of them are comfortable with delivery by drones. Identify the values of n, x, p, and q. The value of n is (Type an integer or a decimal. Do not round.) The value of x is (Type an integer or a decimal. Do not round.) The value of pis (Type an integer or a decimal. Do not round.) The value of q is (Type an integer or a decimal. Do not round.)

33% of all college students major in STEM (Science, Technology, Engineering, and Math). If 39 college students are randomly selected, find the probability that d. Between 7 and 12 (including 7 and 12) of them major in STEM.

Determine whether the value is a discrete random variable, continuous random variable, or not a random variable. a. The square footage of a house b. The weight of a T-bone steak c. The gender of college students d. The exact time it takes to evaluate 27+72 e. The number of light bulbs that burn out in the next week in a room with 10 bulbs f. The time required to download a file from the Internet

Use the data in the following table, which lists drive-thru order accuracy at popular fast food chains. Assume that orders are randomly selected from those included in the table. Drive-thru Restaurant с 250 39 A B 317 269 60 D 146 12 Order Accurate Order Not Accurate 38 If one order is selected, find the probability of getting an order from restaurant B or D or an order that is not accurate. The probability of getting an order from restaurant B or D or an order that is not accurate is (Round to three decimal places as needed.)

Find the mean and variance of the number of games in the World Series. Assume we have two teams, A and B. Recall that it is won by the first team to win four out of the seven games and assume that the outcomes are determined by flipping a coin.

67% of LaGuardia students are female. A random sample of 6 students is to be selected. Let the random variable X be the number of female students in a sample.     a. What is the probability that out of 6 randomly selected students at most 2 are male?   b. Find the average number of female students per sample if a large number of random samples of 20 students were selected.

a. Provide two independent events that you know the probability of.b. Explain how you know these events are independent.c. Find the probability that they both occur.  a. Provide two dependent events.b. Explain how you know these events are dependent.c. Explain why these dependent events might require a different method for calculating the probability of both events occurring.   Please number your responses to the questions as they are shown (1a, 1b, 1c, 2a, 2b, and 2c).