1) A manufacturer of cans of soda pop weighs every 10thcan to determine if the production line is working properly. The weight of the cans would be an example of ___________.

a) a discrete random variable

b) a continuous random variable

c) a discrete distribution

d) the normal distribution

e) the continuous distribution

2) A manufacturer of cans of soda pop weighs every 10thcan to determine if the production line is working properly. The number of cans weighed in an hour would be an example of ___________.

a) the discrete random variable

b) the continuous distribution

c) a continuous random variable

d) a discrete distribution

e) the normal distribution

3) The time between customer arrivals at a deli counter during a 2-hour lunch period would be an example of _____________.

a) a continuous random variable

b) both discrete and continuous random variable

c) a discrete random variable

d) a constant

e) neither discrete nor continuous random variable

4) If the owner of a deli wanted to see all the outcomes of how many sandwiches are sold during 2-hour lunch periods with the probabilities of each outcome, this would be __________.

a) a discrete random variable

b) the continuous distribution

c) a continuous random variable

d) the normal distribution

e) a discrete distribution

5)

Solve the following problems by using the binomial formula. a. If n = 4 and p = 0.10, find P(x = 3). b. If n = 7 and p = 0.70, find P(x = 4). c. If n = 10 and p = 0.60, find P(x 2 7). d. If n = 12 and p = 0.50, find P(5 sx s 7). (Round the intermediate values to 4 decimal places. Round your answers to 4 decimal places, e.g. 0.2153.) a. P(x = 3) = 0.0756 b. P(x = 4) = 0.023 c. P(x 2 7) = 0.3823 d. P(5 sx 5 7) = 0.5045Suppose 20% of the people in a city prefer Pepsi-Cola as their soft drink of choice. If a random sample of six people is chosen, the number of Pepsi drinkers could range from zero to six. Shown here are the possible numbers of Pepsi drinkers in a sample of six people and the probability of that number of Pepsi drinkers occurring in the sample. Use the data to determine the mean number of Pepsi drinkers in a sample of six people in the city, and compute the standard deviation. Nuwgfmi Probability 0 0.262 1 0.393 2 0.246 3 0.032 4 0.015 5 0.002 6 0.000 (Round the intermediate values and nal answers to 3 decimal places.) M: Determine the mean, the variance, and the standard deviation of the following discrete distribution. X P(x) 1 0.223 2 0.303 3 0.186 4 0.151 5 0.137 (Round the intermediate values and final answers to 3 decimal places, e.g. 2.153.) Mean, H = Variance, 62 = Standard deviation, o =Solve for the mean and standard deviation of the following binomial distributions. a. n = 30 and p = 0.50 b. n = 70 and p = 0.25 c. n = 90 and p = 0.50 (Round the intermediate values to 2 decimal places, e.g. 0.21. Round your answers to 2 decimal places, e.g. 2.15.) a. Mean = Standard deviation = b. Mean = Standard deviation = c. Mean = Standard deviation =Solve for the probabilities of the following binomial distribution problems by using the binomial formula. a. If n = 11 and p = .23, what is the probability that x = 4? b. If n = 6 and p = .50, what is the probability that x 2 1? c. If n = 9 and p = .85, what is the probability that x > 7? d. If n = 14 and p = .70, what is the probability that x s 3? (Round your answers to 4 decimal places.) a. P(x = 4 | n = 11 and p = .23) = b. P(x 2 1 | n = 6 and p = .50) = c. P(x > 7 | n = 9 and p = .85) = d. P(x