Despite frequent announcements by pilots and flight attendants, many passengers do not keep their seat belts fastened during flight, leading to injuries if a flight hits severe turbulence.  Historical data shows that about 22% of passengers fail to fasten their seat belts. A flight from Chicago to Los Angeles is carrying 152 passengers.                 a.       What is the probability that more than 40 passengers will fail to fasten their seat belts?    b.       What is expected number of passengers who do not fasten their seat belts on this flight? c.        What is the probability that between 20 and 45 passengers (both numbers included in the interval) with fail to fasten their seatbelts?

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Despite frequent announcements by pilots and flight attendants, many passengers do not keep their seat belts fastened during flight, leading to injuries if a flight hits severe turbulence.  Historical data shows that about 22% of passengers fail to fasten their seat belts. A flight from Chicago to Los Angeles is carrying 152 passengers.                

a.       What is the probability that more than 40 passengers will fail to fasten their seat belts?   

b.       What is expected number of passengers who do not fasten their seat belts on this flight?

c.        What is the probability that between 20 and 45 passengers (both numbers included in the interval) with fail to fasten their seatbelts?                                                                                                                        

                                                                                                                                                                                                                       

 

 

Expert Solution
Step 1

Here, probability of success is probability that passengers fail to fasten their seat belts equal to 0.22.

Number of passengers is 152.

X~Binomialn=152,p=0.22

 

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