Question: Statistics Help, please show work....I am extremely lost. Thank you guys in advance 1.(4 pts) The probability that a football game will go into overtime

Statistics Help, please show work....I am extremely lost. Thank you guys in advance

1.(4 pts) The probability that a football game will go into overtime is 28%. What is the probability that two out of three football games will go to into overtime?

2.(5 pts) The tread life of a particular brand of tire is a random variable best described by a normal distribution with a mean of 60,000 miles and a standard deviation of 2600 miles. What is the probability a particular tire of this brand will last at most 57,400 miles?

3.(5 pts) The amount of soda a dispensing machine pours into a 12 ounce can of soda follows a normal distribution with a standard deviation of 0.08 ounce. Every can that has more than 12.20 ounces of soda poured into it causes a spill and the can needs to go through a special cleaning process before it can be sold. What is the mean amount of soda the machine should dispense if the company wants to limit the percentage that need to be cleaned because of spillage to 3%?

4.(5 pts) The amount of corn chips dispensed into a 13-ounce bag by the dispensing machine has been identified as possessing a normal distribution with a mean of 13.5 ounces and a standard deviation of 0.1 ounce. Suppose 100 bags of chips were randomly selected from this dispensing machine. Find the probability that the sample mean weight of these 100 bags exceeded 13.6 ounces.

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