please show work!

grou of 24 fco entry laddo ter jeet) Questions 13 and 14 refer to the following setting. It has been estimated that about 30% of frozen chickens are contaminated with enough salmonella bacteria to cause illness if improperly cooked. Chickens are delivered to grocery stores in crates of 24. Assume the chickens are chosen for inclusion in a crate at random. 13. The probability that a randomly selected crate has more than 4 contaminated chickens is (a) 0.0424 (b) 0.0686 (c) 0.8889 d) 0.9313 (e) 0.9576 14. The mean and standard deviation of the number of contaminated chickens in a crate are (a) u = 7;0 = 2.24 (b) M = 7;0= 2.68 (c) u = 7; 0 =5.04 (d) u = 7.2; 0 = 2.24 (e) u = 7.2; 0 =5.04 15. You have two instruments with which to measure the height of a tower. If the true height is 100 meters, measurements with the first instrument vary with mean 100 meters and standard deviation 1.2 meters. Measurements with the second instrument vary with mean 100 meters and standard deviation 0.65 meters. You make one measurement with each instrument. Your results are X, for the first and X2 for the second and the measurements are independent. It makes sense to give more weight to the less variable measurement because it is more likely to be closer to the truth. Consider the following weighted average W: 7= =X, += X2 Find and interpret the standard deviation of W = the weighted average of the two measurements. (a) 0.590. The weighted average tends to vary by about 0.590 meters from its mean of 100 meters. (b)0.590. The true weighted average tends to be 0.590 meters greater than the weighted average of the measurements. (c) 0.873. The weighted average tends to vary by about 0.873 meters from its mean of 100 meters. (d) 0.873. The true weighted average tends to be 0.873 meters greater than the weighted average of the measurements. (e) 0.833. The weighted average tends to vary by about 0.833 meters from its mean of 100 meters