Question

please show the formuals and make it clear.

-54 SOLO 8. The management of a hotel in a resort town knows from past data that 60% of the hotel's rooms are expected to be occupied each night during off-season months. (Obviously, the hotel defines a "success" as an occupied room.) The hotel has 300 rooms. The hotel wants to estimate the probability that, on a given off-season night, at least 190 of the rooms will be occupied. a) (4 points) Find the mean and standard deviation of the number of occupied campsites on a peak-season night. (Assume That The Binomial Distribution Conditions Are Satisfied.) (Round your calculated answers to two decimal places.) n=300 np M=0.60 x 300=180 devasa sangelo = 300x 0.6x04 572 r=8.49 b) (2 points) Sketch the Normal Distribution defined by the scenario. Show all detail. 0 = 8.49

Answer 1

xin Bin (n. p) x ~ Bin (300, 0.60) Ca M, Mean = np = 300*0.60 =180 standard dewations Vhp(1-P) 1300*0.60 X 0.40 0.49 (b) 163.02.171.51 4=720 78844 +96-98 llar Ur ute utgo (c) plat least 190) use nothal approximation, elx>n-0.5) = P(x >190-0.5) P(x33189.510) =_P(z> kell X-4) -789.5 -100 0.49 - P(Z > 1.12) use z table fes seemed with = 0-1314 Ang Pler late - CamScanner