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Q1) Terry & Sons makes bearings for autos. The production system involves two independent processing machines so that each bearing passes through these two processes. The probability that the first processing machine is not working properly at any time is 0.040, and the probability that the second machine is not working properly at any time is 0.097. Find the probability that both machines will not be working properly at any given time.

 

Q2) A player plays a roulette game in a casino by betting on a single number each time. Because the wheel has 38 numbers, the probability that the player will win in a single play is StartFraction 1 Over 38 EndFraction. Note that each play of the game is independent of all previous plays.

Find the probability that the player will win for the first time on the 8th play.

 

Q3)A box contains 19 red marbles and 19 green marbles.

Sampling at random from the box five times with replacement, you have drawn a red marble all five times. What is the probability of drawing a red marble the sixth

time?

 

Q4

A pizza parlor has 15 different toppings available for its pizzas, and 2 of these toppings are pepperoni and anchovies. If a customer picks 2 toppings at random, find the probability that neither topping is anchovies.

Round your answer to four decimal places.

 

 

 

 

Q5

A player plays a roulette game in a casino by betting on a single number each time. Because the wheel has 38 numbers, the probability that the player will win in a single play is 1/38. Note that each play of the game is independent of all previous plays.

Find the probability that the player will win for the first time on the 8th play.

 

Round your answer to three decimal places.

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