(a) Construct a binomial distribution using n=6 and p= 0.37. P(x) 1 4 6. (Round to the nearest thousandth as needed.)

K Find the mean, variance, and standard deviation of the binomial distribution with the given values of n and p. n=122, p=0.81 (Round to the nearest tenth as needed.) The mean, μ, is The variance, o², is (Round to the nearest tenth as needed.) The standard deviation, o, is. (Round to the nearest tenth as needed.)

K A process produces strings of Christmas tree lights that historically have experienced a defective rate of 6%. A customer has placed an order for 150 strings of lights. Use the normal approximation to the binomial distribution to answer parts a through e. a. Calculate the mean and standard deviation for this distribution. The mean is 9. (Round to four decimal places as needed.) The standard deviation is 2.9086. (Round to four decimal places as needed.) b. What is the probability that fewer than 4 strings in this order will be defective? The probability is 0.0292. (Round to four decimal places as needed.) c. What is the probability that exactly 10 strings in this order will be defective? The probability is (Round to four decimal places as needed.) View an example Get more help - H 1 |=| Vi 1. Clear all Check answer *

K Let X denote the outcome of rolling a die. a. Construct a graph of the (i) probability distribution of X and (ii) sampling distribution of the sample mean for n = 2. (You can think of (i) as the population distribution you would get if you could roll the die an infinite number of times.) b. The probability distribution of X has mean 3.50 and standard deviation 1.71. Find the mean and standard deviation of the sampling distribution of the sample mean for (i) n = 2, (ii) n = 30. What is the effect of n on the sampling distribution? T OA. 0.1 3.50 6.9 Outcome 0.3 0.25- 0.2 0.15 (ii) Which graph shows the sampling distribution of the sample mean for n = 2? 0.1- 0.05- 0² 123456 Outcome Get more help. Y átv 01 0!!!!! 1 2 3 4 5 6 Outcome B. & 0.22 0.15 0.1- 0.05 0- MacBook Air + 1 2 3 4 5 6 Outcome b. (i) For n=2, the mean is and the standard deviation is. (Round to two decimal places as needed.) U A4 F7 01 0++++++ 1 2 3 4 5 6 Outcome O C. 8 0.23 0.15- 0.1 0.05- 03 1 2 3 4 5 6 Outcome Clear…