Please try to write clear and explain for both multiple choice and the work prob

Question

Please try to write clear and explain for both multiple choice and the work problem

The probability of successfully navigating a remotely controlled drone through a gated course using flight Simulator is given as 0.8. Nine randomly and independently chosen student pilots are asked to try to fly the drone using the simulator. a. What is the probability that none of the student pilots successfully navigate the drone through the course using the simulator? b. What is the probability that all of the student pilots successfully navigate the drone through the course using the simulator? C. What is the probability that exactly eight of the student pilots successfully navigate the drone through the course using the simulator?

Explanation / Answer

Ans:

1)Binomial distribution

n=9

p=0.8

P(x=r)=9Cr*0.8r*(1-0.8)9-r

a)P(x=0)=9C0*0.80*0.29=0

b)P(x=9)=9C9*0.89*0.20=0.1342

c)P(x=8)=9C8*0.88*0.21=0.3020

6)Option d is correct(range is measure of spread)

7)Option d is correct(range,std. dev,variance all are measure of spread)

8)Option a is correct(Variance is square of standard dev.)

9)Option d is correct.

10)Option b is correct(Mutually exclusive means that P(A and B )=0)

11)Option b is correct(they could be compliementrye events,as complimentry events are alwats mutually exclusive)

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