Question

A small regional carrier accepted 12 reservations for a particular flight with 11 seats. 7 reservations went to regular customers who will arrive for the flight. Each of the remaining passengers will arrive for the flight with a 43% chance, independently of each other. (Report answers accurate to 4 decimal places.) Find the probability that overbooking occurs. Find the probability that the flight has empty seats. Question Help: Written Example Submit Question Question 18 After being rejected for employment, Kim Kelly learns that the Bellevue Credit Company has hired only three women among the last 20 new employees. She also learns that the pool of applicants is very large, with an approximately equal number of qualified men as qualified women. Help her address the charge of gender discrimination by finding the probability of getting three or fewer women when 20 people are hired, assuming that there is no discrimination based on gender. (Report answer accurate to 8 decimal places). Plat most three) = Because this is a serious claim, we will use a stricter cutoff value for unusual events. We will use 0.5% as the cutoff value (1 in 200 chance of happening by chance). With this in mind, does the resulting probability really support such a charge? Ono, this does not support a charge of gender discrimination yes, this supports a charge of gender discrimination

Answer 1

My dear student as per HomeworkLib policy i am allowed to solve one question at a time so I am solving the first question in the pic. Thank you

Total seat Total reservation = 12 Regulas customer - 7 5 femaining passenges= 5 Remaining 4. Probabilety sert of assivel= 0.43 P=0.43 q=1-0.43 = 0.57 Now xn Binom (P=0.43 n=5 @ be all n- q nch it will Overbooked -0 Passenger will anerine P(x= x) = Pexpre P(x=5). - (0.43)5 10.157) ° P(x=5)- 51 6.4315 O! 5! P(-5) 0.0147 Probability overbeaking is cof rent if Flight empty than alrice 4 remairy Passenger 8124) 0.0147 less will Hare s 4 pe nok nea 21 M=0

Pline 4) = MW Sea (0.43)* 6.57) 5-2 Xzo using Binomial calculator Placy) O. 8879 0.8879 seats is Probability of empty