What is the probability that a particular flight may be

Question

1. Redundancy in Aircraft Radios-The FAA requires that commercial aircraft used for flying in instrument conditions must have two independent radios instead of one. Assume that for a typical flight, the probability of a radio failure is 0.0035.

What is the probability that a particular flight may be safe with at least one working radio? Why does the usual rounding rule of three significant digits not work here? Is this probability high enough to ensure flight safety?

2. Illinois lottery

a. In the Illinois Little lotto game, you win the jackpot by selecting five different whole numbers from 1-39 and getting the same five numbers (in any order) that are later drawn. What is the probability of winning a jackpot in this game?

b. In the Illinois Pick 3 game, you win a bet by selecting three digits (with repetition allowed) and getting the same three digits in the exact same order as they are later drawn. What is the probability of winning this game?

c. The Illinois pick 3 game returns $500 for a winning $1 ticket. What should be the return if Illinois were to run this game for profit?

Answer 1

For the given statistics problem, as per the situation and guidelines illustrated in the problem, solve and write answer for the following. Q1. Redundancy in Aircraft Radios: The FAA needs that commercial aircraft employed for flying in instrument conditions should encompass two independent radios rather than one. Suppose that for a typical flight, the probability of the radio failure is 0.0035. Determine the probability which a particular flight might be safe by means of at a minimum of one working radio? Explain why does the usual rounding rule of 3 significant digits not work here? Is this probability high adequate to make sure flight safety? Q2. Illinois lottery: a) In Illinois Little lotto game, you win the jackpot by choosing 5 diverse whole numbers from 1-39 and getting similar 5 numbers (in any order) which are later drawn. Determine the probability of winning a jackpot in this game?